Prof. Dr. Dr. Enrique Zuazua
Email
Partial Differential Equations, Numerical Analysis, Control, Machine Learning, Data Sciences
FAU MoD Spokesperson
Member at FAU MoD, Research Center for Mathematics of Data
Member of the FAU MoD Steering Committee
Friedrich-Alexander-Universität Erlangen-Nürnberg
Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship
Research Gate | ORCID | Google Scholar
FAU profile | LinkedIn
News / Initiatives
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Seventh workshop on thin structures
Date: September 10 – 12, 2026
See more: https://dcn.nat.fau.eu/events/thinstructures7/ -

Benasque XI Workshop-Summer School 2026: Partial differential equations, optimal design and numerics
Date: August 23 – September 04, 2026
See more: https://dcn.nat.fau.eu/benasque-xi-2026/ -

Enrique Zuazua invited to deliver a Special Section Lecture at ICM 2026
Date: July 23 – 30, 2026
See more: https://dcn.nat.fau.eu/events/icm2026-enrique-zuazua-lecture/ -

MLPDES26, Machine Learning and PDEs Workshop (2026)
Date: Mon. – Wed. Jun 22 – 24, 2026
See more: https://mod.fau.eu/events/mlpdes26/ -

EZ 65: Control, PDEs and Machine Learning
Date: Mon. – Thu. Jun 08 – 11, 2026
See more: https://dcn.nat.fau.eu/events/ez65-control-pdes-and-ml/ -

Mathematical Foundations of Machine Learning (MFML 2026)
Date: Mon. – Fri. May 25 – 29, 2026
See more: https://mod.fau.eu/events/mfml2026/ -

CERSEU. Congreso Internacional de Matemática Pura y Aplicada en la Era Moderna
Date: April 01 – 10, 2026
See more: https://dcn.nat.fau.eu/cerseu-fcm-unmsm-congress-april-2026/ -

BNU – Control and Machine Learning: A Mathematical Journey
Date: March 19, 2026
See more: https://dcn.nat.fau.eu/bnu-control-and-machine-learning-a-mathematical-journey/ -

Trends in Mathematical Sciences II (2026)
Date: February 5 – 7, 2026
See more: https://cmc.deusto.eus/enzuazua/trendsinmaths2026/ -

Matemáticas y progreso – El epicentro de todas las ciencias. Matemáticas de lo cotidiano
Date: November 20, 2025
See more: https://cmc.deusto.eus/matematicas-de-lo-cotidiano/ -

A workshop in Speinshart: Scientific center for AI and SuperTech
Date: Tue.-Sun. November 11 – 16, 2025
See more: https://dcn.nat.fau.eu/speinshart-workshop-nov2025/ -

Workshop: The Mathematics of Scientific Machine Learning and Digital Twins
Date: November 19-25, 2025
See more: https://dcn.nat.fau.eu/scimldt/ -

MLDS: Machine Learning, Control Theory, and PDEs: Foundations and Advances from Variational Pathologies to Diffusion Models for Generative AI
Date: Thu. October 30, 2025
See more: https://dcn.nat.fau.eu/mlds-machine-learning-control-theory-and-pdes/ -

2025. PhD Thesis defense by Martín Hernández Salinas. From Optimal Control to Random and Neural Network Approximation
Date: Thu. September 25, 2025
See more: https://dcn.nat.fau.eu/phd-thesis-defense-mhernandez/ -

Inverse design for parabolic and hyperbolic problems
Date: Wed. September 25, 2025
See more: https://dcn.nat.fau.eu/hyperbolic-problems-in-nurnberg-workshop/ -

ACOMEN2025
Date: September 15 – 19, 2025
See more: https://dcn.nat.fau.eu/acomen2025/ -

JLU Short course: PDEs Meet Machine Learning: Integrating Numerics, Control, and Machine Learning by E. Zuazua
Date: Mon.-Wed. July 21-23, 2025
See more: https://dcn.nat.fau.eu/jlu-course-pdes-meet-ml-ezuazua-july2025/ -

CIRM Workshop – HYCO: A Hybrid-Cooperative Strategy for Data-Driven PDE Model Learning
Date: Fri. August 15, 2025
See more: https://dcn.nat.fau.eu/cirm-workshop-hyco-a-hybrid-cooperative-strategy-for-data-driven-pde-model-learning/ -

CIRM Workshop: Mathematical and Computational Foundations of Digital Twins
Date: August 11-15, 2025
See more: https://dcn.nat.fau.eu/cirm-mathematical-and-computational-foundations-of-digital-twins-aug-2025/ -

Workshop on Recent Trends in Applied Mathematics and Machine Learning 2025
Date: Fri.- Sun. July 25 – 27, 2025
See more: https://dcn.nat.fau.eu/workshop-trends-appliedmath-and-ml-2025/ -

ICBS2025: PDEs Meet Machine Learning: Integrating Numerics, Control, and Machine Learning by E. Zuazua
Date: Tue. July 15, 2025
See more: https://dcn.nat.fau.eu/icbs2025/ -

EECI-IGSC 2025 (M18): Control and Machine Learning
Date: June 30 to July 4, 2025
See more: https://dcn.nat.fau.eu/eeci-igsc-2025/ -

LSMS 2025 – PDEs Meet Machine Learning: Integrating Numerics, Control, and Machine Learning by E. Zuazua
Date: Tue. June 24, 2025
See more: https://dcn.nat.fau.eu/lsms-2025-ezuazua/ -

Trends in Mathematical and Data Sciences
Date: June 16 – 20, 2025
See more: https://dcn.nat.fau.eu/tmads25/ -

Machine Learning and PDEs Workshop
Date: April 28 – 30, 2025
See more: https://dcn.nat.fau.eu/mlpdes25/ -

HB Conference: Modelling, Machine Learning and Control
Date: April 9, 2025
See more: https://dcn.nat.fau.eu/hb-conference-modelling-machine-learning-and-control/ -

ICMAT: Control and Machine Learning by E. Zuazua
Date: Fri. April 4, 2025
See more: https://dcn.nat.fau.eu/icmat-control-and-machine-learning-by-e-zuazua/ -

Langtangen Seminar: Control and Machine Learning by E. Zuazua
Date: Tue. April 1, 2025
See more: https://dcn.nat.fau.eu/langtangen-seminar-control-and-machine-learning-by-e-zuazua/ -

The hidden challenge in heat equation control: Slow decay of gramian eigenvalues
Date: March 20, 2025
See more: https://dcn.nat.fau.eu/the-hidden-challenge-in-heat-equation-control-slow-decay-of-gramian-eigenvalues/ -

Frontiers of Mathematics lecture: Control and Machine Learning by E. Zuazua
Date: Wed. February 26, 2025
See more: https://dcn.nat.fau.eu/frontiers-of-mathematics-lecture-2025-control-and-machine-learning-by-e-zuazua/ -

Tracking control
Date: Thu. December 19, 2024
See more: https://dcn.nat.fau.eu/um6p-tracking-control/ -

MathConnect 2024
Date: December 10, 2024
See more: https://dcn.nat.fau.eu/mathconnect-2024/ -

Humboldt Network meeting 2024 (Erlangen)
Date: November 20-22, 2024
See more: https://dcn.nat.fau.eu/humboldt-network-meeting-2024-erlangen/ -

PGMODAYS 2024: Control and Machine Learning
Date: Wed. November 20, 2024
See more: https://dcn.nat.fau.eu/pgmodays-2024/ -

XVII ENAMA: Control and Machine Learning by E. Zuazua
Date: November 6 | November 8, 2024
See more: https://dcn.nat.fau.eu/xvii-enama/ -

ICAMDS24: Control and Machine Learning by E. Zuazua
Date: October 28, 2024
See more: https://dcn.nat.fau.eu/icamds24/ -

Distinguished CMAI Colloquium: Control and Machine Learning
Date: Fri. October 25, 2024
See more: https://dcn.nat.fau.eu/distinguished-cmai-colloquium-control-and-machine-learning/ -

Course: Introduction to Optimal Control and Machine Learning
Date: October 21-23, 2024
See more: Course: Introduction to Optimal Control and Machine Learning -

ICMAM 2024: Data Representation by Neural Networks: A control perspective by E. Zuazua
Date: Fri. October 18, 2024
See more: https://dcn.nat.fau.eu/icmam-2024/ -

100th Session. Seminar in PDEs and Applied Mathematics
Date: Mon. October 7, 2024
See more: https://dcn.nat.fau.eu/100th-seminar-in-pdes-and-applied-mathematics/ -

Control and Machine Learning
Date: Wed. September 11, 2024
See more: https://dcn.nat.fau.eu/nanyang-control-ml-zuazua/ -

Benasque X Workshop-Summer School 2024: Partial differential equations, optimal design and numerics
Date: August 18 – 30, 2024
See more: https://dcn.nat.fau.eu/benasque-2024/ -

Oberwolfach Seminar: Control and Machine Learning
Date: November 24 – 29, 2024
See more: https://dcn.nat.fau.eu/oberwolfach-2448b-nov2024/ -

Course: Control and Machine Learning by E. Zuazua
Date: July 2024
See more: https://dcn.nat.fau.eu/course-control-machine-learning-zuazua/ -

2024. Master Thesis by Arun Sai Thunga
Date: June 30, 2024
See more: https://dcn.nat.fau.eu/ai-based-diagnosis-of-combustion-anomalies-in-hydrogen-engines/ -

CIME summer school on PDEs, Control and Deep Learning
Date: Juky 22-26, 2024
See more: https://dcn.nat.fau.eu/cime-2024/ -

FGS 2024 French-German-Spanish Conference on Optimization 2024
Date: Tue. June 18, 2024
See more: https://dcn.nat.fau.eu/fgs-2024/ -

Trends in Mathematical Sciences
Date: June 10 – 14, 2024
See more: https://dcn.nat.fau.eu/trendsinmaths2024/ -

ML&OC24: Machine Learning and Optimal Control summer school
Date: May 29-30, 2024
See more: https://dcn.nat.fau.eu/mloc24/ -

AvH network meeting • Henriette Herz Scouting Programme
Date: May 13-14, 2024
See more: https://dcn.nat.fau.eu/avh-network-meeting-henriette-herz-scouting-may-2024/ -

ICOP 24: Optimal placement of sensors and actuators
Date: Fri. May 17, 2024
See more: https://dcn.nat.fau.eu/icop-24-optimal-placement-of-sensors-and-actuators/ -

Optimal placement of sensors and actuators
Date: Tue. May 7, 2024
See more: https://dcn.nat.fau.eu/optimal-placement-of-sensors-and-actuators/ -

CIRM VAMMMS Workshop: Variational Analysis, Models and Methods in Measure Spaces
Date: Tue. April 30, 2024
See more: https://dcn.nat.fau.eu/cirm-vammms-workshop-2024/ -

ODL: Introduction to Optimal Control and Machine Learning
Date: Tue.-Thu. March 19 – 21, 2024
See more: https://dcn.nat.fau.eu/odl-2024/ -

EPFL: Control and Machine Learning by E. Zuazua
Date: Fri. March 8, 2024
See more: https://dcn.nat.fau.eu/epfl-anmath-08-mar-2024/ -

Zurich Colloquium in Applied and Computational Mathematics
Date: Wed. March 6, 2024
See more: https://dcn.nat.fau.eu/zurich-colloquium-in-applied-and-computational-mathematics/ -

RAMSA 2024
Date: Thu. February 29, 2024
See more: https://dcn.nat.fau.eu/ramsa2024/ -

Winter school: Model Order Reduction Methods for Control and Machine Learning
Date: Mon. February 26, 2024
See more: https://dcn.nat.fau.eu/winter-school-model-order-reduction-methods-for-control-and-machine-learning/ -

DEDS2024
Date: Mon. February 19, 2024
See more: https://dcn.nat.fau.eu/deds2024/ -

RACP2024: Recent advances in Control Theory of PDE systems
Date: Mon.-Thu. February 12 – 15, 2024
See more: https://dcn.nat.fau.eu/racp2024/ -

Contrôle et apprentissage automatique
Date: Thu. February 15, 2024
See more: https://dcn.nat.fau.eu/controle-et-apprentissage-automatique-15-feb-2024/ -

Synthetic Training Data Generation for Point Cloud Defects
Date: January 29, 2024
See more: https://dcn.nat.fau.eu/synthetic-training-data-generation-for-point-cloud-defects/ -

IUI Conference Mathematical Modeling: Theory and Applications
Date: January 9, 2024
See more: https://dcn.nat.fau.eu/iui-conference-mathematical-modeling-theory-and-applications/ -

IMS 2023 Control and Machine Learning
Date: December 24, 2023
See more: https://dcn.nat.fau.eu/ims-2023-control-and-machine-learning/ -

AI techniques in guidance control problem and space missions – Control and Machine Learning
Date: Wed. December 13, 2023
See more: https://dcn.nat.fau.eu/ai-techniques-in-guidance-control-problem-and-space-missions-control-and-machine-learning/ -

Mathematical Opportunities in Digital Twins (MATH-DT) Workshop
Date: Tue. December 12, 2023
See more: https://dcn.nat.fau.eu/math-dt-workshop-2023/ -

Workshop on recent advances in kinetic theory and related models
Date: Wed. December 6, 2023
See more: https://dcn.nat.fau.eu/workshop-on-recent-advances-in-kinetic-theory-and-related-models/ -

FAU. Beautiful mathematics for Artificial Intelligence
Date: November 27, 2023
See more: https://dcn.nat.fau.eu/fau-beautiful-mathematics-for-artificial-intelligence/ -

FAU MoD Lecture Series. Special November 2023
Date: Wed. November 22, 2023
See more: https://dcn.nat.fau.eu/fau-mod-lecture-series-special-november-2023/ -

Tutorial lecture series on “Advanced Topics Systems Control”
Date: November 23 – 27, 2023
See more: https://dcn.nat.fau.eu/tutorial-lecture-series-on-advanced-topics-systems-control/ -

ICMAM Latam Satellite Conference: Control and Machine Learning
Date: Fri. November 17, 2023
See more: https://dcn.nat.fau.eu/icmam-latam-satellite-conference-control-and-machine-learning/ -

Optimal placement of sensors and actuators
Date: Tue. November 7, 2023
See more: https://dcn.nat.fau.eu/cpdes2023/ -

Virtual meeting BAYLAT – FAU DCN-AvH
Date: October 13, 2023
See more: https://dcn.nat.fau.eu/virtual-meeting-baylat-fau-dcn-avh/ -

JLU: Control, Cybernetics and Artificial Intelligence
Date: Fri. September 15, 2023
See more: https://dcn.nat.fau.eu/jlu-control-cybernetics-and-artificial-intelligence/ -

2023. PhD Thesis defense by Nicola De Nitti. Analysis, control, and singular limits for hyperbolic conservation laws
Date: Mon. July 24, 2023
See more: https://dcn.nat.fau.eu/phd-thesis-defense-by-n-de-nitti/ -

2023. Master thesis by Mohammed Quaidjohar Husain. Machine Learning: Publisher Recommendation Model
Date: July 7, 2023
See more: https://dcn.nat.fau.eu/machine-learning-publisher-recommendation-model/ -

Control, Cibernética e Inteligencia Artificial
Date: May 31, 2023
See more: https://dcn.nat.fau.eu/control-cibernetica-e-inteligencia-artificial/ -

4th AFOSR Monterey Training Workshop on Computational Issues in Nonlinear Control
Date: May 22, 2023
See more: https://dcn.nat.fau.eu/4th-afosr-monterey-training-workshop-on-computational-issues-in-nonlinear-control/ -

2023. Master thesis by Gisele Stephanie Otiobo. Gradient Descent on Wide Neural Networks and Federated Learning
Date: May 20, 2023
See more: https://dcn.nat.fau.eu/gradient-descent-on-wide-neural-networks-and-federated-learning/ -

Numerics, Dynamics, Control and Machine Learning
Date: Wed. May 17, 2023
See more: https://dcn.nat.fau.eu/numerics-dynamics-control-and-machine-learning/ -

Inria International Chairs holder (2023-2027)
Date: May 2023
See more: https://dcn.nat.fau.eu/inria-international-chairs-holder/ -

Optimization and Control in Burgundy
Date: Thu. May 11, 2023
See more: https://dcn.nat.fau.eu/optimization-and-control-in-burgundy/ -

9th International Conference on Modeling, Simulation and Applied Optimization
Date: Thu. April 27, 2023
See more: https://dcn.nat.fau.eu/9th-international-conference-on-modeling-simulation-and-applied-optimization/ -

FernUniversität – Workshop Geometric Aspects of Evolution and Control
Date: Mon. April 17, 2023
See more: https://dcn.nat.fau.eu/fernuniversitat-workshop-geometric-aspects-of-evolution-and-control/ -

WS 2021: CML: Control, Machine Learning and Numerics
Date: Winter Semester 2021/22. April to July 2023
See more: https://dcn.nat.fau.eu/course-cml-control-machine-learning-and-numerics-ss-2022-2023/ -

Course: Wave Phenomena
Date: Summer Semester 2022. April – July 2023
See more: https://dcn.nat.fau.eu/course-wave-phenomena/ -

Course: Scalar Conservation Laws
Date: Summer Semester 2022. April – July 2023
See more: https://dcn.nat.fau.eu/course-scalar-conservation-laws-2023/ -

FAU mathematician receives ERC Advanced Grant
Date: March 31, 2023
See more: https://dcn.nat.fau.eu/fau-mathematician-receives-erc-advanced-grant/ -

Introduction to control and machine learning
Date: Winter Semester 2022/2023. November – December 2022
See more: https://dcn.nat.fau.eu/course-introduction-to-control-and-machine-learning-ws-2022-2023/ -

II Workshop on Control Theory and Partial Differential Equations
Date: Thu. October 26, 2022
See more: https://dcn.nat.fau.eu/ii-workshop-on-control-theory-and-pde-control-and-ml-by-ezuazua/ -

Course: Mathematical Modeling in the Life Sciences
Date: Winter Semester 2022/2023. October 2022 – March 2023
See more: https://dcn.nat.fau.eu/course-mathematical-modeling-in-the-life-sciences-2022/ -

Course: Transport Phenomena
Date: Winter Semester 2022/2023. October 2022 – March 2023
See more: https://dcn.nat.fau.eu/course-transport-phenomena-2022/ -

Control and Machine Learning by Enrique Zuazua at SIAM News
Date: October 03, 2022
See more: https://dcn.nat.fau.eu/control-and-machine-learning-by-enrique-zuazua-at-siam-news/ -

Course: A Practical Introduction to Control, Numerics, and Machine Learning (IFAC CPDE 2022)
Date: Summer 2022
See more: https://dcn.nat.fau.eu/course-a-practical-introduction-to-control-numerics-and-machine-learning-ifac-cpde-2022/ -

M4CSA: Control and Machine Learning by E. Zuazua
Date: Tue. September 6, 2022
See more: https://dcn.nat.fau.eu/m4csa-control-and-machine-learning-by-e-zuazua/ -

Optimal shape design of sensors via a geometric approach
Date: September 1, 2022
See more: https://dcn.nat.fau.eu/poster-optimal-shape-design-of-sensors-via-a-geometric-approach/ -

Course: Control and optimization for non-local and fractional differential equations
Date: August 1st – August 12nd, 2022
See more: https://dcn.nat.fau.eu/course-control-and-optimization-for-non-local-and-fractional-differential-equations/ -

Enrique Zuazua: 2022 W.T. and Idalia Reid Prize by SIAM
Date: July 13, 2022
See more: https://dcn.nat.fau.eu/enrique-zuazua-2022-w-t-and-idalia-reid-prize/ -

Optimal design of sensors and actuators by E. Zuazua
Date: Tue. June 14, 2022
See more: https://dcn.nat.fau.eu/optimal-design-of-sensors-and-actuators-by-e-zuazua/ -

FAU DCN-AvH at the visit of the Embassy of Uruguay in Erlangen (BAYLAT)
Date: Mon. April 25, 2022
See more: https://dcn.nat.fau.eu/fau-dcn-avh-at-the-visit-of-the-embassy-of-uruguay-in-erlangen-baylat/ -

Modeling, Simulation and Optimization SS 2021/2022 (practical course)
Date: Summer Semester 2021/2022. April 25, 2022 – March 2023
See more: https://dcn.nat.fau.eu/course-modeling-simulation-and-optimization-ss-2021-2022/ -

Course: Modeling and Analysis in Continuum Mechanics 2
Date: Summer semester 2021/2022. April 25, 2022 – March 2023
See more: https://dcn.nat.fau.eu/course-modeling-and-analysis-in-continuum-mechanics-2-2022/ -

Course: Scalar Conservation Laws
Date: Summer semester. April – July 2022
See more: https://dcn.nat.fau.eu/course-scalar-conservation-laws-2022/ -

Course: Control, Machine Learning and Numerics (2022)
Date: Summer semester 2021/2022
See more: https://dcn.nat.fau.eu/course-control-machine-learning-and-numerics-2022/ -

Benasque Workshop-Summer School 2022: PDE’s, Optimal Design and Numerics
Date: Sun.- Fri. August 21 – September 02, 2022
See more: https://dcn.nat.fau.eu/events/benasque-workshop-summer-school-pdes-optimal-design-and-numerics/ -

EECI-IGSC 2022: Machine Learning, Optimization and Control by Prof. E. Zuazua and Prof. X. Yuan
Date: Tue.-Mon. Mar 01 – 28, 2022
See more: https://dcn.nat.fau.eu/events/eeci-igsc-2022-machine-learning-optimization-and-control-by-prof-e-zuazua-and-prof-x-yuan/ -

Book: Optimization and Control for Partial Differential Equations
Date: March, 2022
See more: https://dcn.nat.fau.eu/book-optimization-and-control-for-partial-differential-equations/ -

Contrôle et apprentissage automatique
Date: March 10, 2022 (4 weeks)
See more: https://dcn.nat.fau.eu/controle-et-apprentissage-automatique/ -

LAMSIN Seminar: Control and Machine Learning
Date: Wed. February 2, 2022
See more: https://dcn.nat.fau.eu/lamsin-seminar-control-and-machine-learning/ -

pyGasControls library (simulation software)
Date: January 3, 2022
See more: https://dcn.nat.fau.eu/pygascontrols-library-simulation-software/ -

Visiting BAYLAT
Date: November 25, 2021
See more: https://dcn.nat.fau.eu/visiting-baylat/ -

FAU Welcome 2021
Date: November 9, 2021
See more: https://dcn.nat.fau.eu/fau-welcome-2021/ -

Workshop on Non-Linear Analysis and Control Theory in honor of Prof. Enrique Zuazua
Date: Wed. – Fri. Nov 03 – 05, 2021
See more: After the event | https://dcn.nat.fau.eu/events/workshop-on-non-linear-analysis-and-control-theory-in-honor-of-prof-enrique-zuazua/ -

Course: Modeling and Analysis in Continuum Mechanics 1
Date: Winter semester 2021/2022
See more: https://dcn.nat.fau.eu/course-modeling-and-analysis-in-continuum-mechanics-1-2021/ -

Course: Transport Phenomena
Date: October 2021 – March 2022
See more: https://dcn.nat.fau.eu/course-transport-phenomena-2021/ -

FAU DCN-AvH and MoD kick-off
Date: October 8, 2021
See more: https://dcn.nat.fau.eu/fau-dcn-avh-and-mod-kickoff/ -

In honor of Enrique Zuazua’s 60th. Birthday
Date: September 28, 2021
See more: https://dcn.nat.fau.eu/in-honor-of-enrique-zuazuas-60th-birthday/ -

Control, Machine Learning and Numerics -Course (China) by E. Zuazua (Complete)
Date: July 9 – 26, 2021 (4 weeks)
See more: https://dcn.nat.fau.eu/summer-course-china-by-e-zuazua/ -

Summer short course (China) 4/4: Control, Machine Learning and Numerics by E. Zuazua
Date: July 9 – 26, 2021 (4 weeks)
See more: https://dcn.nat.fau.eu/summer-short-course-china-4-4-control-machine-learning-and-numerics-by-e-zuazua/ -

Summer short course (China) 3/4: Control, Machine Learning and Numerics by E. Zuazua
Date: July 9 – 26, 2021 (4 weeks)
See more: https://dcn.nat.fau.eu/summer-short-course-china-3-4-control-machine-learning-and-numerics-by-e-zuazua/ -

Summer short course (China) 2/4: Control, Machine Learning and Numerics by E. Zuazua
Date: July 9 – 26, 2021 (4 weeks)
See more: https://dcn.nat.fau.eu/summer-short-course-china-2-4-control-machine-learning-and-numerics-by-e-zuazua/ -

Summer short course (China) 1/4: Control, Machine Learning and Numerics by E. Zuazua
Date: July 9 – 26, 2021 (4 weeks)
See more: https://dcn.nat.fau.eu/summer-short-course-china-1-4-control-machine-learning-and-numerics-by-e-zuazua/ -

INdAM Workshop 2021: “Analysis and Numerics of Design, Control and Inverse Problems”
Date: Thu. – Wed. Jul 01 – 07, 2021
See more: https://dcn.nat.fau.eu/events/indam-workshop-2021-analysis-and-numerics-of-design-control-and-inverse-problems/ -

OCA’21 Online CIMPA School: Control, Numerics and Machine Learning by E. Zuazua
Date: June 28 – July 3, 2021
See more: https://dcn.nat.fau.eu/oca21-online-cimpa-school-control-numerics-and-machine-learning-by-e-zuazua/ -

Ambassador meets ambassador | Botschafter trifft Botschafter
Date: June 2021
See more: https://dcn.nat.fau.eu/ambassador-meets-ambassador-botschafter-trifft-botschafter/ -

Control of Advection-Diffusion Equations on Networks and Singular Limits
Date: June 30, 2021
See more: https://dcn.nat.fau.eu/control-of-advection-diffusion-equations-on-networks-and-singular-limits/ -

ConDyS – Workshop on Control of Dynamical Systems
Date: Mon. – Wed. Jun 14 – 16, 2021
See more: https://dcn.nat.fau.eu/events/condys-workshop-on-control-of-dynamical-systems/ -

Dynamics and Control of a guiding Model – ConDyS workshop 2021
Date: Mon. Jun 14, 2021
See more: https://dcn.nat.fau.eu/events/dynamics-and-control-of-a-guiding-model-condys-workshop-2021/ -

Networks, Waves and Control
Date: Wed. Jun 09, 2021
See more: https://dcn.nat.fau.eu/events/networks-waves-and-control/ -

Computational Strategies for the Control of Collective Dynamics
Date: Fri. May 28, 2021
See more: https://dcn.nat.fau.eu/events/computational-strategies-for-the-control-of-collective-dynamics/ -

Enrique Zuazua: TOP TALENT CIENCIA
Date: Wed. May 26, 2021
See more: https://dcn.nat.fau.eu/enrique-zuazua-top-talent-ciencia/ -

Paris Bachelier Seminar: Turpike Control and Machine Learning
Date: Fri. May 21, 2021
See more: https://dcn.nat.fau.eu/events/paris-bachelier-seminar-turpike-control-and-machine-learning/ -

Workshop on Control Theory and Partial Differential Equations
Date: Mon. May 24, 2021
See more: https://dcn.nat.fau.eu/events/workshop-on-control-theory-and-partial-differential-equations/ -

Workshop on Control Theory and Partial Differential Equations
Date: Mon. May 24, 2021
See more: https://dcn.nat.fau.eu/workshop-on-control-theory-and-partial-differential-equations/ -

FAU StudOn AG Neural Differential Equations, Control and Machine Learning
Date: Tue. May 11, 2021
See more: https://dcn.nat.fau.eu/fau-studon-ag-neural-differential-equations-control-and-machine-learning/ -

Neural Differential Equations, Control and Machine Learning
Date: Mon. April 26, 2021
See more: https://dcn.nat.fau.eu/neural-differential-equations-control-and-machine-learning/ -

Günter Leugering’s Farewell/Abschiedsfeier
Date: Fri. March 26, 2021
See more: https://dcn.nat.fau.eu/gunter-leugerings-farewell-abschiedsfeier/ -

Cafés Scientifique de la Culture: “Hire me, I’m a mathematician – March 25th, 2021
Date: Thu. Mar 25, 2021
See more: https://dcn.nat.fau.eu/events/cafes-scientifique-de-la-culture-hire-me-im-a-mathematician/ -

Chaire Jean-Morlet 2021: Dynamics and Control of a guiding Model
Date: Mon. March 22, 2021
See more: https://dcn.nat.fau.eu/chaire-jean-morlet-2021-dynamics-and-control-of-a-guiding-model/ -

Unilateral bounds for nonlinear semigroups and time-inversion
Date: Mon. March 8, 2021
See more: https://dcn.nat.fau.eu/unilateral-bounds-for-nonlinear-semigroups-and-time-inversion/ -

Coloquio MTM UFSC: Inverse design for conservation laws and Hamilton-Jacobi equations
Date: Fri. March 5th, 2021
See more: https://dcn.nat.fau.eu/coloquio-mtm-ufsc-inverse-design-for-conservation-laws-and-hamilton-jacobi-equations/ -
Trends in Mathematical Modelling, Simulation and Optimisation: Theory and Applications
Date: March 2 – 3, 2021
See more: https://www.trr154.fau.de/program/ -

Model predictive control with random batch methods for a guiding problem
Date: March 1, 2021
See more: https://dcn.nat.fau.eu/poster-model-predictive-control-with-random-batch-methods-for-a-guiding-problem/ -

Sparse Initial Source Identification for a Diffusion – Advection Equation
Date: March 1, 2021
See more: https://dcn.nat.fau.eu/poster-sparse-initial-source-identification-for-a-diffusion-advection-equation/ -

Non-local PDE and Control
Date: March 1, 2021
See more: https://dcn.nat.fau.eu/poster-non-local-pde-and-control/ -

Long Time Control
Date: March 1, 2021
See more: https://dcn.nat.fau.eu/poster-long-time-control/ -

Inverse Design for Conservation Laws and Hamilton-Jacobi Equations
Date: March 1, 2021
See more: https://dcn.nat.fau.eu/poster-inverse-design-for-conservation-laws-and-hamilton-jacobi-equations/ -

Machine learning via control of Neural ODEs
Date: March 1, 2021
See more: https://dcn.nat.fau.eu/poster-machine-learning-via-control-of-neural-odes/ -

System Identification by Koopman Operators: Quantitative Analysis
Date: March 1, 2021
See more: https://dcn.nat.fau.eu/poster-system-identification-by-koopman-operators-quantitative-analysis/ -

Stochastic Simulation and Optimization for Dynamical Systems
Date: March 1, 2021
See more: https://dcn.nat.fau.eu/poster-stochastic-simulation-and-optimization-for-dynamical-systems/ -

36th SIDIM – Research in Mathematics
Date: Fri. – Sat. Feb 26 – 27, 2021
See more: https://dcn.nat.fau.eu/events/36th-sidim-research-in-mathematics/ -
IEMSC-21 Neural Differential Equations, Control and Machine Learning. Plenary Speech by Enrique Zuazua
Date: Fri.-Sun. Feb 5 – 7, 2021
See more: PDF | https://cmc.deusto.eus/events-calendar/iemsc-21-neural-differential-equations-control-and-machine-learning-plenary-speech-by-enrique-zuazua/ -

Open World PDE Seminar: Inverse design for conservation laws and Hamilton–Jacobi equations
Date: Tue. February 2, 2021
See more: https://dcn.nat.fau.eu/open-world-pde-seminar-inverse-design-for-conservation-laws-and-hamilton-jacobi-equations/ -

Averaged dynamics and control for heat equations with random diffusion
Date: January 11, 2021
See more: https://dcn.nat.fau.eu/averaged-dynamics-and-control-for-heat-equations-with-random-diffusion/ -

Master PDE course – Partial Differential Equations, Control and Numerics
Date: December 13, 2020
See more: https://dcn.nat.fau.eu/master-pde-course-partial-differential-equations-control-and-numerics/ -

Turnpike Control and Deep Learning
Date: Thu. Dec 10, 2020
See more: https://dcn.nat.fau.eu/events/turnpike-control-and-deep-learning/ -

Inverse design for conservation Laws and Hamilton-Jacobi equations
Date: Sat. Dec 05, 2020
See more: https://dcn.nat.fau.eu/events/inverse-design-for-conservation-laws-and-hamilton-jacobi-equations/ -

Reaction-diffusion in Social and Biological Sciences: Dynamics and ResNet Control by Enrique Zuazua
Date: Tue. Nov 03, 2020
See more: https://dcn.nat.fau.eu/events/reaction-diffusion-in-social-and-biological-sciences-dynamics-and-resnet-control-by-enrique-zuazua/ -

Course: Modeling and Analysis in Continuum Mechanics 1
Date: October 13, 2020
See more: https://dcn.nat.fau.eu/course-modeling-and-analysis-in-continuum-mechanics-1-2020/ -

Machine Learning and Control Theory Research Cluster by E. Zuazua
Date: Tue. Oct 06, 2020
See more: https://dcn.nat.fau.eu/events/machine-learning-and-control-theory-research-cluster-by-e-zuazua/ -
Control y Diseño Óptimo de Estructuras y Fluidos by Enrique Zuazua
Date: Thu. Oct 01, 2020
See more: https://dcn.nat.fau.eu/events/control-y-diseno-optimo-de-estructuras-y-fluidos-by-enrique-zuazua/ -

2nd Symposium on Machine Learning and Dynamical Systems
Date: Mon 21st Sep 2020 – Fri 2nd Oct 2020
See more: https://cmc.deusto.eus/events-calendar/2nd-symposium-on-machine-learning-and-dynamical-systems/ -

Seminar on PDE and Applied Mathematics
Date: Wed. Sep 23, 2020
See more: https://dcn.nat.fau.eu/events/seminar-on-pde-and-applied-mathematics/ -

Inverse Design for Hamilton-Jacobi Equations
Date: September 14, 2020
See more: https://dcn.nat.fau.eu/inverse-design-for-hamilton-jacobi-equations/ -

Flows on Networks
Date: July 9, 2020
See more: https://dcn.nat.fau.eu/flows-on-networks/ -

Audio. ‘Espainiako Gobernuak emandako datuak ez dira aski pandemiaren bilakaera iragartzeko’
Date: May 10, 2020
See more: https://cmc.deusto.eus/enzuazua/espainiako-gobernuak-emandako-datuak-ez-dira-aski-pandemiaren-bilakaera-iragartzeko/ -

Course: Partial Differential Equation, Control, and Numerics
Date: April 13, 2020
See more: https://dcn.nat.fau.eu/course-partial-differential-equation-control-and-numerics-2020/ -

Txopitea eta Pakea 2020
Date: January 3, 2020
See more: https://dcn.nat.fau.eu/txopitea-eta-pakea-2020/ -

Humboldt Professorship 2019
Date: December 3, 2018
See more: https://dcn.nat.fau.eu/humboldt-professorship-2019/
Publications
2026
- , , , , , :
The Sherpa.ai Blind Vertical Federated Learning paradigm to minimize the number of communications
(2026)
DOI: 10.48550/arXiv.2510.17901 - , :
Controllability of diffusive Lotka – Volterra strongly competitive systems under boundary constrained controls
(2026) - , , :
Exact Sequence Classification with Transformers (Conference contribution, accepted)
URL: https://arxiv.org/abs/2502.02270 - , , :
Exact Sequence Interpolation with Transformers
(2026) - , , :
Optimized classification with neural ODEs via separability
(2026)
DOI: 10.48550/arXiv.2312.13807 - , , :
Boundary and interior control in a diffusive Lotka-Volterra model
In: Journal of Differential Equations 466 (2026), Article No.: 114257
ISSN: 0022-0396
DOI: 10.1016/j.jde.2026.114257 - , , , , , :
Fair feature attribution for multi-output prediction: A Shapley-based perspective
(2026) - , , :
Boundary observation and control for fractional heat and wave equations
(2026)
Open Access: https://doi.org/10.48550/arXiv.2504.17413 - , :
Multilevel selective harmonic modulation by duality
(2026)
DOI: 10.1016/j.ifacol.2022.08.081
URL: https://dcn.nat.fau.eu/wp-content/uploads/SHM_adjoint.pdf - , , , , :
Exponential convergence to steady-states for trajectories of a damped dynamical system modelling adhesive strings
In: Mathematical Models & Methods in Applied Sciences (2026)
ISSN: 0218-2025
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/CocDNMadOrlZua-231029.pdf - , , :
On the decay of one-dimensional locally and partially dissipated and hyperbolic systems
In: Esaim-Control Optimisation and Calculus of Variations (2026)
ISSN: 1292-8119
Open Access: https://arxiv.org/abs/2206.00555
URL: https://dcn.nat.fau.eu/wp-content/uploads/PartLocDissip-tCrinBarat-nDeNitti-eZuazua.pdf - , , :
Regional and Partial Observability and Control of Waves
(2026) - , , , :
Large-time asymptotics in deep learning
(2026)
DOI: 10.48550/arXiv.2008.02491 - , , :
Computational performance of the MMOC in the inverse design of the Doswell frontogenesis equation
(2026)
URL: https://arxiv.org/abs/2210.03798 - , :
Sensor placement via large deviations in the eikonal equation
In: Arabian Journal of Mathematics (2026)
ISSN: 2193-5343
DOI: 10.1007/s40065-026-00628-1 - , :
Turnpike in Control of PDEs, RESNETs and beyond
(2026)
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/TurnpikePDEResnetsBeyond-bGeshkovskiZuazua.pdf
URL: https://dcn.nat.fau.eu/wp-content/uploads/TurnpikePDEResnetsBeyond-bGeshkovskiZuazua.pdf - , :
Slow decay and Turnpike for Infinite-horizon Hyperbolic LQ problems
(2026)
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/han-zuazua-infinite-horizon9-2z.pdf
URL: https://dcn.nat.fau.eu/wp-content/uploads/han-zuazua-infinite-horizon9-2z.pdf - , :
Constructive Universal Approximation and Finite Sample Memorization by Narrow Deep Relu Networks
(2026) - , :
Random batch methods for discretized PDEs on graphs
(2026)
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/Random-Batch-Methods-for-Discretized-PDEs-on-Graphs_MH_EZ_140625.pdf - , , , :
A Structure-Preserving Numerical Scheme for Optimal Control and Design of Mixing in Incompressible Flows
(2026) - Ibañez de Opakua A, Bizkarguenaga M, de Diego Á, Conde R, González-Valle B, Gil-Redondo R, Santana T, Seco ML, Cenarro A, Lope V, Margarita SM, Pelusi S, Habisch H, Haudum C, Verheyen N, Obermayer-Pietsch B, Sorando-Fernandez MP, Arana-Arri E, Meijide S, Salazar AM, Hernandez G, Baldán-Martín M, Martínez-González PJ, Suárez-Trujillo F, Audije-Gil J, Arriaga JI, Iriberri M, Moran MÁ, Camino X, Gracia A, Bernardo-Seisdedos G, Sousa A, Oliveira N, Verde I, Zaro Bastanzuri MJ, González Fernández MR, Fernández-Bergés D, Navarrete-Arias L, Llamas-Velasco M, Biccari U, Morales R, Madl T, Unda-Urzaiz M, Carracedo A, Diercks T, Castelló A, Schäfer H, Spraul M, Cannet C, Tasic L, Sanchez-Pernaute R, Buguianessi E, Anstee Q, Embade N, Lu SC, Mera F, Valenti L, Luchinat C, Cibrián D, de la Fuente H, Civeira F, Arenas D, Gisbert JP, Chaparro M, Giskeodegard G, Bathen T, Zuazua E, Mato JM, Millet O:
Mapping metabolic aging and disease-associated acceleration using an interpretable NMR-based clock
(2026) - , :
Optimal convergence rates for the finite element approximation of the Sobolev constant
(2026) - , , :
Transmutation based Quantum Simulation for Non-unitary Dynamics - , , , :
Universal Approximation of Dynamical Systems by Semiautonomous Neural ODEs and Applications
In: SIAM Journal on Numerical Analysis 64 (2026), p. 193 - 223
ISSN: 0036-1429
DOI: 10.1137/24M1679690 - , , , , :
Deep Neural ODE Operator Networks for PDEs
In: Mathematical Models & Methods in Applied Sciences (2026)
ISSN: 0218-2025
DOI: 10.1142/S0218202526420054 - , :
Hamiltonian Interface Dynamics for Reduced-Order Optimization of Incompressible Mixing
(2026)
DOI: 10.48550/arXiv.2605.04688
URL: https://arxiv.org/abs/2605.04688 - , :
Analysis and numerical solvability of backward-forward conservation laws
(2026)
DOI: 10.1137/22m1478720
URL: https://dcn.nat.fau.eu/wp-content/uploads/AnalysisNumSolvability_tLiardEZuazua.pdf - , , :
A Potential Game Perspective in Federated Learning
(2026)
DOI: 10.48550/arXiv.2411.11793
URL: https://arxiv.org/abs/2411.11793 - , :
Geometric Asymptotics of Score Mixing and Guidance in Diffusion Models
(2026) - , :
A PDE Perspective on Generative Diffusion Models
(2026)
URL: https://dcn.nat.fau.eu/wp-content/uploads/Diffusion-Models-Kang-Zuazua.pdf - , :
Moments, time-inversion and source identification for the heat equation
In: Inverse Problems 42 (2026), Article No.: 015009
ISSN: 0266-5611
DOI: 10.1088/1361-6420/ae3797 - , :
Moments, Time-Inversion and Source Identification for the Heat Equation - , , :
HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling
(2026) - , , :
HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling
(2026)
Open Access: https://arxiv.org/abs/2509.14123v1 - , :
HYCO: A formalism for Hybrid-Cooperative PDE modelling
(2026) - , , , :
Mean-Square Stability of Continuous-Time Stochastic Model Predictive Control
(2026)
URL: https://dcn.nat.fau.eu/wp-content/uploads/MPC-SLQ-251201.pdf - , , :
Null control of heat equations with analytic memory kernels
(2026) - , , :
Constrained control of gene-flow models
(2026)
DOI: 10.4171/aihpc/52
URL: https://dcn.nat.fau.eu/wp-content/uploads/ControlHeterogeneousV5.pdf - , :
Control of reaction-diffusion models in biology and social sciences
(2026)
DOI: 10.3934/mcrf.2022032
URL: https://dcn.nat.fau.eu/wp-content/uploads/NotesSichuan-DRuizBalet_EZuazua.pdf - , :
Neural ODE Control for Classification, Approximation and Transport
(2026)
URL: https://dcn.nat.fau.eu/wp-content/uploads/NeuralODEControl-RuizBaletZuazua.pdf - , :
Pattern control via diffusion interaction
(2026)
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/RuizBalet_EZuazua_pattDiffCntrl.pdf - , :
Control of a Lotka-Volterra system with weak competition
26 (2026), p. 27-62
DOI: 10.4310/CIS.260128103826 - , :
Turnpike in optimal control and beyond: a survey
(2026) - , , :
Stability and Convergence of a Randomized Model Predictive Control Strategy
Open Access: https://arxiv.org/abs/2211.05463
URL: https://arxiv.org/abs/2211.05463 - , :
Local Stability and Convergence of Unconstrained Model Predictive Control
(2026)
Open Access: http://arxiv.org/abs/2206.01097
URL: http://arxiv.org/abs/2206.01097 - , , :
Reachable subspaces, control regions and heat equations with memory
(2026)
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/reachableSubspaces-29jan2021-2101.10615.pdf
URL: https://dcn.nat.fau.eu/wp-content/uploads/reachableSubspaces-29jan2021-2101.10615.pdf - , , :
Approximate and Weighted Data Reconstruction Attack in Federated Learning
(2026)
URL: https://arxiv.org/abs/2308.06822 - , :
Tracking controllability for finite-dimensional linear systems
(2026)
Open Access: http://arxiv.org/abs/2407.18641 - :
Control and Machine Learning
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/EZuazua_COIA_ControlnML.pdf - :
Fourier series and sidewise profile control of 1-d waves
(2026)
Open Access: https://arxiv.org/abs/2308.04906 - :
Fourier series and sidewise profile control of 1-d waves
(2026)
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/zuazua_meyer_2023.pdf - :
Machine Learning and Control: A Unified Perspective - :
Machine Learning and Control: Foundations, Advances, and Perspectives (Conference contribution, submitted) - , , :
Cluster-based classification with neural ODEs via control
(2026)
DOI: 10.4208/jml.241114
2025
- , , :
Clustering in Pure-Attention Hardmax Transformers and its Role in Sentiment Analysis
In: SIAM Journal on Mathematics of Data Science 7 (2025)
ISSN: 2577-0187
DOI: 10.1137/24M167086X
URL: https://arxiv.org/abs/2407.01602 - , :
Gaussian Beam ansatz for finite difference wave equations
In: Foundations of Computational Mathematics 25 (2025), p. 1-54
ISSN: 1615-3375
DOI: 10.1007/s10208-023-09632-9
URL: https://dcn.nat.fau.eu/wp-content/uploads/WaveAnsatz.pdf - , , , , :
Control of Hyperbolic and Parabolic Equations on Networks and Singular limits
In: Vol 15, No. 1, Mathematical Control and Related Fields, 2025, p. 348-389
DOI: 10.3934/mcrf.2024015
URL: https://hal.science/hal-03233211 - , , , :
Large-time asymptotics for hyperbolic systems with non-symmetric relaxation: An algorithmic approach
In: Journal De Mathematiques Pures Et Appliquees 202 (2025), Article No.: 103757
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2025.103757 - , , :
Pointwise constraints for scalar conservation laws with positive wave velocity
In: Zeitschrift für Angewandte Mathematik und Physik 76 (2025), Article No.: 111
ISSN: 0044-2275
DOI: 10.1007/s00033-025-02459-0 - , :
Boundary sidewise observability of the wave equation
In: Journal of the European Mathematical Society (2025)
ISSN: 1435-9855
DOI: 10.4171/JEMS/1688
URL: https://dcn.nat.fau.eu/wp-content/uploads/Dehman-Zuazua.pdf - , , :
Optimal Lp-approximation of convex sets by convex subsets
In: Nonlinear Analysis - Theory Methods & Applications 261 (2025), Article No.: 113866
ISSN: 0362-546X
DOI: 10.1016/j.na.2025.113866 - , :
Analysis and Numerics of Design, Control and Inverse Problems. Springer Nature Singapore
Springer Nature Singapore, 2025
(Springer INdAM Series)
ISBN: 978-981-96-6181-7
DOI: 10.1007/978-981-96-6182-4
URL: https://link.springer.com/book/10.1007/978-981-96-6182-4 - , :
Sharp Numerical Approximation of the Hardy Constant
In: Discrete and Continuous Dynamical Systems (2025)
ISSN: 1078-0947
DOI: 10.3934/dcds.2025165 - , :
Representation and Regression Problems in Neural Networks: Relaxation, Generalization, and Numerics
In: Mathematical Models & Methods in Applied Sciences 35 (2025), p. 1471-1521
ISSN: 0218-2025
DOI: 10.1142/S0218202525500228
URL: https://arxiv.org/html/2412.01619v1 - , , :
FedADMM-InSa: An Inexact and Self-Adaptive ADMM for Federated Learning
In: Neural Networks 181 (2025), Article No.: 106772
ISSN: 0893-6080
DOI: 10.1016/j.neunet.2024.106772
2024
- , :
Tracking Controllability for the Heat Equation
In: IEEETransactions on Automatic Control (2024)
ISSN: 0018-9286
DOI: 10.1109/TAC.2024.3476174 - , , , , :
Exponential convergence to steady-states for trajectories of a damped dynamical system modeling adhesive strings
In: Mathematical Models & Methods in Applied Sciences (2024)
ISSN: 0218-2025
DOI: 10.1142/S021820252450026X - , , , , , :
Finite Element Approximation of the Hardy Constant
In: Journal of Convex Analysis 31 (2024), p. 497-523
ISSN: 0944-6532 - , :
Optimal Placement and Shape Design of Sensors via Geometric Criteria
2024 European Control Conference, ECC 2024 (Stockholm, SWE, June 25, 2024 - June 28, 2024)
In: 2024 European Control Conference, ECC 2024, Stockholm, Sweden: 2024
DOI: 10.23919/ECC64448.2024.10591236 - , :
Uniform Turnpike Property and Singular Limits
DOI: 10.1007/s10440-024-00640-7
URL: https://link.springer.com/article/10.1007/s10440-024-00640-7 - , :
Eigenvalue bounds for the Gramian operator of the heat equation
In: Automatica 164 (2024), p. 111-653
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2024.111653
URL: https://dcn.nat.fau.eu/wp-content/uploads/2nd_version-gram-lyapunov-autom.pdf - , , , :
Optimal control approach for moving bottom detection in one-dimensional shallow waters by surface measurements
In: Mathematical Methods in the Applied Sciences (2024), p. 1-32
ISSN: 0170-4214
DOI: 10.1002/mma.10251
URL: https://dcn.nat.fau.eu/wp-content/uploads/optimalCtrlApproach.pdf - , :
Control of neural transport for normalising flows
In: Journal De Mathematiques Pures Et Appliquees 181 (2024), p. 58-90
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2023.10.005 - , , :
Stability and Convergence of a Randomized Model Predictive Control Strategy
In: IEEE Transactions on Automatic Control (2024), p. 1-8
ISSN: 1558-2523
DOI: 10.1109/TAC.2024.3375253 - , , :
Observability for heat equations with time-dependent analytic memory
In: Archive for Rational Mechanics and Analysis 248 (2024)
ISSN: 0003-9527
DOI: 10.1007/s00205-024-02058-9 - :
Exact Controllability and Stabilization of the Wave Equation
Cham: Springer Nature, 2024
(UNITEXT - La Matematica per il 3 piu 2, Vol.162)
ISBN: 978-3-031-58857-0
DOI: 10.1007/978-3-031-58857-0
URL: https://link.springer.com/book/10.1007/978-3-031-58857-0 - (ed.):
Fourier series and sidewise control of 1-d waves
2024
(Volume in honor of Yves Meyer, Documents Mathématiques of the French Mathematical Society (SMF), Vol. 22)
Open Access: https://dcn.nat.fau.eu/wp-content/uploads/zuazua_meyer_2023.pdf
URL: https://arxiv.org/abs/2308.04906 - :
Progress and future directions in machine learning through control theory
FGS 2024. French-German-Spanish Conference on Optimization (Gijon, Spain, June 18, 2024 - June 21, 2024)
In: Proceedings FGS 20204 2024
Open Access: https://digibuo.uniovi.es/dspace/handle/10651/74691 - , , :
Interplay between depth and width for interpolation in neural ODEs
In: Neural Networks 180 (2024), Article No.: 106640
ISSN: 0893-6080
DOI: 10.1016/j.neunet.2024.106640
2023
- , , , :
A Two-Stage Numerical Approach for the Sparse Initial Source Identification of a Diffusion-Advection Equation
In: Inverse Problems (2023)
ISSN: 0266-5611
DOI: 10.48550/arXiv.2202.01589
URL: https://arxiv.org/abs/2202.01589 - , :
Gaussian Beam Ansatz for Finite Difference Wave Equations
In: Foundations of Computational Mathematics (2023)
ISSN: 1615-3375
DOI: 10.1007/s10208-023-09632-9 - , :
Multilevel control by duality
In: Systems & Control Letters 175 (2023), Article No.: 105502
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2023.105502
URL: https://arxiv.org/abs/2109.02346 - , , , , :
Long-time convergence of a nonlocal Burgers' equation towards the local N-wave
In: Nonlinearity (2023)
ISSN: 0951-7715
DOI: 10.1088/1361-6544/acf01d
URL: https://iopscience.iop.org/article/10.1088/1361-6544/acf01d - , :
On the Controllability of Entropy Solutions of Scalar Conservation Laws at a Junction via Lyapunov Methods
In: Vietnam Journal of Mathematics (2023)
ISSN: 0866-7179
DOI: 10.1007/s10013-022-00598-9 - , :
Reachable set for Hamilton-Jacobi equations with non-smooth Hamiltonian and scalar conservation laws
In: Nonlinear Analysis: Hybrid Systems 227 (2023)
ISSN: 1751-570X
DOI: 10.1016/j.na.2022.113167
URL: https://dcn.nat.fau.eu/wp-content/uploads/reachableHamiltonJacobi-cEsteveY-eZuazua-2203.04731.pdf - , :
Optimal design of sensors via geometric criteria
In: Journal of Geometric Analysis 33 (2023)
ISSN: 1050-6926
DOI: 10.1007/s12220-023-01301-1
URL: https://link.springer.com/article/10.1007/s12220-023-01301-1 - , :
Greedy search of optimal approximate solutions
In: Pure and Applied Functional Analysis 8 (2023), p. 547-564
ISSN: 2189-3764
Open Access: http://yokohamapublishers.jp/online2/oppafa/vol8/p547.html
URL: https://dcn.nat.fau.eu/wp-content/uploads/greedy-solving-systems.pdf - , :
ANALYSIS AND NUMERICAL SOLVABILITY OF BACKWARD-FORWARD CONSERVATION LAWS
In: SIAM Journal on Mathematical Analysis 55 (2023), p. 1949-1968
ISSN: 0036-1410
DOI: 10.1137/22M1478720 - , , :
Constrained control of gene-flow models
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 40 (2023), p. 717-766
ISSN: 0294-1449
DOI: 10.4171/AIHPC/52 - , :
Neural ODE Control for Classification, Approximation, and Transport
In: SIAM Review 65 (2023), p. 735-773
ISSN: 0036-1445
DOI: 10.1137/21M1411433 - , :
A quantitative analysis of Koopman operator methods for system identification and predictions
In: Comptes Rendus Mecanique 351 (2023), p. 1-31
ISSN: 1631-0721
DOI: 10.5802/crmeca.138
URL: https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.138/
2022
- , , :
Control and Numerical approximation of Fractional Diffusion Equations
In: Handbook of Numerical Analysis (2022), Article No.: 1570-8659
ISSN: 1570-8659
DOI: 10.1016/bs.hna.2021.12.001
URL: https://dcn.nat.fau.eu/wp-content/uploads/BiccariWarmaZuazua_fractionalControl.pdf - , :
Multilevel Selective Harmonic Modulation by Duality
In: IFAC-PapersOnLine (2022), p. 56-61
ISSN: 1474-6670
DOI: 10.1016/j.ifacol.2022.08.081 - , , , , , , , :
CONTROL AND ANALYSIS OF PARTIAL DIFFERENTIAL EQUATIONS
2022 - , , , , , , :
CONTROL AND ANALYSIS OF PARTIAL DIFFERENTIAL EQUATIONS
In: Mathematical Reports 24 (2022), p. 1-2
ISSN: 1582-3067 - , , , :
Turnpike in Lipschitz-nonlinear optimal control
In: Nonlinearity 5 (2022), p. 1652-1701
ISSN: 0951-7715
DOI: 10.1088/1361-6544/ac4e61 - , , , :
The turnpike property and the longtime behavior of the Hamilton-Jacobi-Bellman equation for finite-dimensional LQ control problems
In: Mathematics of Control Signals and Systems (2022)
ISSN: 0932-4194
DOI: 10.1007/s00498-022-00325-2 - , :
Differentiability with respect to the initial condition for Hamilton-Jacobi equations
In: SIAM Journal on Mathematical Analysis 54 (2022), p. 5388-5423
ISSN: 0036-1410
DOI: 10.1137/22M1469353 - , :
Differentiability With Respect To The Initial Condition For Hamilton-jacobi Equations
In: SIAM Journal on Mathematical Analysis 54 (2022), p. 5388-5423
ISSN: 0036-1410
DOI: 10.1137/22M1469353 - , :
Optimal actuator design via Brunovsky’s normal form
In: IEEE Transactions on Automatic Control 26 (2022)
ISSN: 1558-2523
DOI: 10.1109/TAC.2022.3181222
URL: https://dcn.nat.fau.eu/wp-content/uploads/2108.05629.pdf - , :
Turnpike in optimal control of PDEs, ResNets, and beyond
In: Acta Numerica 31 (2022), p. 135-263
ISSN: 0962-4929
DOI: 10.1017/S0962492922000046
URL: https://www.cambridge.org/core/journals/acta-numerica/article/abs/turnpike-in-optimal-control-of-pdes-resnets-and-beyond/A5A8337380F0AC79BD20773659C5DFC8#access-block - , , , , , , , , , , , , , , , :
Linear projection-based CEST parameter estimation
In: NMR in Biomedicine (2022)
ISSN: 0952-3480
DOI: 10.1002/nbm.4697
URL: https://analyticalsciencejournals.onlinelibrary.wiley.com/doi/epdf/10.1002/nbm.4697 - , , :
Optimal Control for ODEs and PDEs: The Turnpike Phenomenon
65th Joint Conference on Automatic Control (Utsunomiya, November 12, 2022 - November 13, 2022)
In: Extended Abstracts of the 65th Joint Conference on Automatic Control 2022 - , , , , :
An energy-based vibration model for beam bridges with multiple constraints
In: Structural Engineering and Mechanics 82 (2022), p. 41-53
ISSN: 1225-4568
DOI: 10.12989/sem.2022.82.1.041 - , , :
The Vlasov-Fokker-Planck equation with high dimensional parametric forcing term
In: Numerische Mathematik (2022)
ISSN: 0029-599X
DOI: 10.1007/s00211-021-01257-w - , , :
The Vlasov-Fokker-Planck Equation with High Dimensional Parametric Forcing Term
In: Numerische Mathematik (2022)
ISSN: 0029-599X
DOI: 10.1007/s00211-021-01257-w
(online publication) - , :
Initial data identification for the one-dimensional Burgers equation
In: IEEE Transactions on Automatic Control 67 (2022), p. 3098-3104
ISSN: 1558-2523
DOI: 10.1109/TAC.2021.3096921
URL: https://ieeexplore.ieee.org/document/9484713 - , , :
Interpolation and approximation via Momentum ResNets and Neural ODEs
In: IEEE Control Systems Letters 162 (2022)
ISSN: 2475-1456
DOI: 10.1016/j.sysconle.2022.105182
URL: https://dcn.nat.fau.eu/wp-content/uploads/InterpolationResNets.pdf - , :
Control of certain parabolic models from biology and social sciences
In: Mathematical Control and Related Fields 12 (2022), p. 955-1038
ISSN: 2156-8472
DOI: 10.3934/mcrf.2022032
(online publication) - , :
Sidewise control of 1-d waves
In: Journal of Optimization Theory and Applications 193 (2022), p. 931–949
ISSN: 0022-3239
DOI: 10.1007/s10957-021-01986-w
URL: https://dcn.nat.fau.eu/wp-content/uploads/Sarac-Zuazua_Revised-version.pdf - , :
Sidewise Profile Control of 1-D Waves
In: Journal of Optimization Theory and Applications (2022)
ISSN: 0022-3239
DOI: 10.1007/s10957-021-01986-w - , :
Numerical Control: Part A
In: Emmanuel Trélat, Enrique Zuazua (ed.): Numerical Control: Part A, North Holland: Elsevier Science & Technology, 2022, p. 1-558
ISBN: 9780323853392
DOI: 10.1016/s1570-8659(22)x0002-1
URL: https://www.elsevier.com/books/numerical-control-part-a/trelat/978-0-323-85059-9 - , :
A framework for randomized time-splitting in linear-quadratic optimal control
In: Numerische Mathematik 151 (2022), p. 495–549
ISSN: 0029-599X
DOI: 10.1007/s00211-022-01290-3
URL: https://link.springer.com/article/10.1007/s00211-022-01290-3 - :
Control and Machine Learning
In: SIAM News 55 (2022)
ISSN: 1557-9573 - , :
SLOW DECAY AND TURNPIKE FOR INFINITE-HORIZON HYPERBOLIC LINEAR QUADRATIC PROBLEMS
In: SIAM Journal on Control and Optimization 60 (2022), p. 2440-2468
ISSN: 0363-0129
DOI: 10.1137/21M1441985
2021
- , :
Averaged dynamics and control for heat equations with random diffusion
In: Systems & Control Letters 158 (2021), Article No.: 105055
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2021.105055 - , :
Controllability of one-dimensional viscous free boundary flows
In: SIAM Journal on Control and Optimization 59 (2021), p. 1830-1850
ISSN: 0363-0129
DOI: 10.1137/19M1285354 - , , :
The Finite-Time Turnpike Phenomenon for Optimal Control Problems: Stabilization by Non-smooth Tracking Terms
In: Grigory Sklyar, Alexander Zuyev (ed.): Stabilization of Distributed Parameter Systems: Design Methods and Applications, Springer Science and Business Media Deutschland GmbH, 2021, p. 17-41 (SEMA SIMAI Springer Series, Vol.2)
ISBN: 978-3-030-61742-4
DOI: 10.1007/978-3-030-61742-4_2 - , , :
The Finite-Time Turnpike Phenomenonfor Optimal Control Problems:Stabilization by Non-smooth TrackingTerms
In: Grigory Sklyar, Alexander Zuyev (ed.): Stabilization of Distributed Parameter Systems: Design Methods and Applications, 6330 Cham, Switzerland: Springer Nature Switzerland AG.The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland, 2021, p. 17-41 (SEMA SIMAI Springer SeriesICIAM 2019 SEMA SIMAI Springer Series, Vol.2)
DOI: 10.1007/978-3-030-61742-4 - , :
Classical system theory revisited for turnpike in standard state space systems and impulse controllable descriptor systems
In: SIAM Journal on Control and Optimization 59 (2021), p. 3600-3624
ISSN: 0363-0129
DOI: 10.1137/20M1356105 - , :
Classical system theory revisited for Turnpike in standard state space systems and impulse controllable descriptor systems
In: SIAM Journal on Control and Optimization 59 (2021), p. 3600-3624
ISSN: 0363-0129
DOI: 10.1137/20M1356105
URL: https://dcn.nat.fau.eu/wp-content/uploads/heiland-zuazua.pdf - , :
Model predictive control with random batch methods for a guiding problem
In: Mathematical Models & Methods in Applied Sciences 31 (2021), p. 1569-1592
ISSN: 0218-2025
DOI: 10.1142/S0218202521500329 - , :
The turnpike property in nonlinear optimal control – A geometric approach
In: Automatica 134 (2021), p. 109939
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2021.109939
URL: https://dcn.nat.fau.eu/wp-content/uploads/Turnpike_for_Automatica.pdf - , :
The turnpike property in nonlinear optimal control-A geometric approach
In: Automatica 134 (2021)
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2021.109939 - , , :
Flow decomposition for heat equations with memory
In: Journal De Mathematiques Pures Et Appliquees (2021)
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2021.11.005
URL: https://www.sciencedirect.com/science/article/pii/S0021782421001665
2020
- , , :
Propagation of One- and Two-Dimensional Discrete Waves Under Finite Difference Approximation
In: Foundations of Computational Mathematics (2020)
ISSN: 1615-3375
DOI: 10.1007/s10208-020-09445-0 - , , :
Controllability of the one-dimensional fractional heat equation under positivity constraints
In: Communications on Pure and Applied Analysis 19 (2020), p. 1949-1978
ISSN: 1534-0392
DOI: 10.3934/cpaa.2020086 - , :
A Stochastic Approach to the Synchronization of Coupled Oscillators
In: Frontiers in Energy Research 8 (2020)
ISSN: 2296-598X
DOI: 10.3389/fenrg.2020.00115 - , :
A stochastic approach to the synchronization of coupled oscillators
(2020)
DOI: 10.3389/fenrg.2020.00115
(online publication) - , :
The inverse problem for Hamilton-jacobi equations and semiconcave envelopes
In: SIAM Journal on Mathematical Analysis 52 (2020), p. 5627-5657
ISSN: 0036-1410
DOI: 10.1137/20M1330130 - , :
The inverse problem for Hamilton-Jacobi equations and semiconcave envelopes
Workshop on Mathematical Analysis (Universidad de Alicante)
DOI: 10.1137/20m1330130 - , :
Asymptotic behavior and control of a "guidance by repulsion" model
In: Mathematical Models & Methods in Applied Sciences (2020)
ISSN: 0218-2025
DOI: 10.1142/S0218202520400047 - , , :
Shape turnpike for linear parabolic PDE models
In: Systems & Control Letters 142 (2020), Article No.: 104733
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2020.104733 - , , :
Nonnegative control of finite-dimensional linear systems
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire (2020)
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2020.07.004 - , :
Sparse source identification of linear diffusion–advection equations by adjoint methods
In: Systems & Control Letters 145 (2020), Article No.: 104801
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2020.104801 - , :
Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations
In: Journal De Mathematiques Pures Et Appliquees (2020)
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2020.08.006
2019
- , , :
A two-dimensional flea on the elephant phenomenon and its numerical visualization
In: Multiscale Modeling & Simulation 17 (2019), p. 137-166
ISSN: 1540-3459
DOI: 10.1137/18M1179985 - , , :
Dynamics and control for multi-agent networked systems: A finite-difference approach
In: Mathematical Models & Methods in Applied Sciences 29 (2019), p. 755-790
ISSN: 0218-2025
DOI: 10.1142/S0218202519400050 - , , , , :
Full probabilistic solution of a finite dimensional linear control system with random initial and final conditions
In: Journal of the Franklin Institute-Engineering and Applied Mathematics (2019)
ISSN: 0016-0032
DOI: 10.1016/j.jfranklin.2020.06.005 - , :
Controllability of one-dimensional viscous free boundary flows
(2019)
(online publication) - , , :
Greedy optimal control for elliptic problems and its application to turnpike problems
In: Numerische Mathematik 141 (2019), p. 455-493
ISSN: 0029-599X
DOI: 10.1007/s00211-018-1005-z - , :
Controllability of shadow reaction-diffusion systems
In: Journal of Differential Equations (2019)
ISSN: 0022-0396
DOI: 10.1016/j.jde.2019.10.012 - , , :
Turnpike in optimal shape design
11th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2019 (Vienna, September 4, 2019 - September 6, 2019)
In: Lukasz Jadachowski (ed.): IFAC-PapersOnLine 2019
DOI: 10.1016/j.ifacol.2019.12.010 - , :
Inverse design for the one-dimensional Burgers equation
(2019)
(online publication) - , :
Internal observability for coupled systems of linear partial differential equations
In: SIAM Journal on Control and Optimization 57 (2019), p. 832-853
ISSN: 0363-0129
DOI: 10.1137/17M1119160 - , , :
Nonnegative control of finite-dimensional linear systems
(2019)
DOI: 10.1016/j.anihpc.2020.07.004
(online publication) - , , :
Controllability and positivity constraints in population dynamics with age structuring and diffusion
In: Journal De Mathematiques Pures Et Appliquees 129 (2019), p. 153-179
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2018.12.006 - , , :
Controllability of a class of infinite dimensional systems with age structure
In: Control and Cybernetics 48 (2019), p. 231-260
ISSN: 0324-8569 - , :
Adjoint computational methods for 2D inverse design of linear transport equations on unstructured grids
In: Computational and Applied Mathematics 38 (2019), Article No.: 168
ISSN: 2238-3603
DOI: 10.1007/s40314-019-0935-0 - , :
Controllability Under Positivity Constraints of Multi-d Wave Equations
In: Fatiha Alabau-Boussouira, Fabio Ancona, Alessio Porretta, Carlo Sinestrari (ed.): Trends in Control Theory and Partial Differential Equations, Springer International Publishing, 2019, p. 195-232 (Springer INdAM Series, Vol.32)
ISBN: 978-3-030-17949-6
DOI: 10.1007/978-3-030-17949-6_11 - , , :
Phase portrait control for 1D monostable and bistable reaction-diffusion equations
In: Nonlinearity 32 (2019), p. 884-909
ISSN: 0951-7715
DOI: 10.1088/1361-6544/aaf07e - , , :
Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions
In: Calculus of Variations and Partial Differential Equations 58 (2019), Article No.: 64
ISSN: 0944-2669
DOI: 10.1007/s00526-019-1522-3 - , , :
Constrained control of bistable reaction-diffusion equations: Gene-flow and spatially heterogeneous models
(2019)
(online publication) - , :
A Parabolic Approach to the Control of Opinion Spreading
In: Arkadi Berezovski, Tarmo Soomere (ed.): Applied Wave Mathematics II, Springer, 2019, p. 343-363 (Mathematics of Planet Earth, Vol.6)
ISBN: 978-3-030-29950-7
DOI: 10.1007/978-3-030-29951-4 - , :
Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations
(2019)
DOI: 10.1016/j.matpur.2020.08.006
(online publication) - , , :
The turnpike property in nonlinear optimal control - A geometric approach
58th IEEE Conference on Decision and Control, CDC 2019 (Nice, December 11, 2019 - December 13, 2019)
In: Proceedings of the IEEE Conference on Decision and Control 2019
DOI: 10.1109/CDC40024.2019.9028863
2018
- , , , , :
Preface: A tribute to professor Eduardo Casas on his 60th birthday
In: Mathematical Control and Related Fields 8 (2018), p. i-ii
ISSN: 2156-8472
DOI: 10.3934/mcrf.201801i - , , :
Local regularity for fractional heat equations
In: SEMA SIMAI Springer Series, Springer International Publishing, 2018, p. 233-249 (SEMA SIMAI Springer Series, Vol.17)
DOI: 10.1007/978-3-319-97613-6_12 - , :
Internal Controllability for Parabolic Systems Involving Analytic Non-local Terms
In: Chinese Annals of Mathematics Series B 39 (2018), p. 281-296
ISSN: 0252-9599
DOI: 10.1007/s11401-018-1064-6 - , , :
Minimal controllability time for finite-dimensional control systems under state constraints
In: Automatica 96 (2018), p. 380-392
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2018.07.010 - , :
Controllability under positivity constraints of semilinear heat equations
In: Mathematical Control and Related Fields 8 (2018), p. 935-964
ISSN: 2156-8472
DOI: 10.3934/mcrf.2018041 - , , :
Steady-state and periodic exponential turnpike property for optimal control problems in hilbert spaces
In: SIAM Journal on Control and Optimization 56 (2018), p. 1222-1252
ISSN: 0363-0129
DOI: 10.1137/16M1097638 - , , :
Allee optimal control of a system in ecology
In: Mathematical Models & Methods in Applied Sciences 28 (2018), p. 1665-1697
ISSN: 0218-2025
DOI: 10.1142/S021820251840002X
2017
- , , :
Addendum: Local Elliptic Regularity for the Dirichlet Fractional Laplacian
In: Advanced Nonlinear Studies 17 (2017), p. 837-839
ISSN: 1536-1365
DOI: 10.1515/ans-2017-6020 - , , :
Local Elliptic Regularity for the Dirichlet Fractional Laplacian
In: Advanced Nonlinear Studies 17 (2017), p. 387-409
ISSN: 1536-1365
DOI: 10.1515/ans-2017-0014 - , :
Filtered gradient algorithms for inverse design problems of one-dimensional burgers equation
In: Laurent Gosse, Roberto Natalini (ed.): Innovative Algorithms and Analysis, Springer International Publishing, 2017, p. 197-227 (Springer INdAM Series, Vol.16)
ISBN: 978-3-319-49262-9
DOI: 10.1007/978-3-319-49262-9_7 - , :
Decay rates for elastic-thermoelastic star-shaped networks
In: Networks and Heterogeneous Media 12 (2017), p. 461-488
ISSN: 1556-1801
DOI: 10.3934/nhm.2017020 - , :
A generic uniqueness result for the stokes system and its control theoretical consequences
In: Paolo Marcellini, Giorgio G. Talenti, Edoardo Vesentini (ed.): Partial Differential Equations and Applications: Collected Papers in Honor of Carlo Pucci, CRC Press, 2017, p. 221-235
DOI: 10.1201/9780203744369 - , , :
Minimal controllability time for the heat equation under unilateral state or control constraints
In: Mathematical Models & Methods in Applied Sciences 27 (2017), p. 1587-1644
ISSN: 0218-2025
DOI: 10.1142/S0218202517500270 - , :
Averaged controllability of parameter dependent conservative semigroups
In: Journal of Differential Equations 262 (2017), p. 1540-1574
ISSN: 0022-0396
DOI: 10.1016/j.jde.2016.10.017 - , , :
Null controllability for wave equations with memory
In: Journal De Mathematiques Pures Et Appliquees 108 (2017), p. 500-531
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2017.05.001 - , :
Numerical hypocoercivity for the Kolmogorov equation
In: Mathematics of Computation 86 (2017), p. 97-119
ISSN: 0025-5718
DOI: 10.1090/mcom/3157 - , , :
Actuator design for parabolic distributed parameter systems with the moment method
In: SIAM Journal on Control and Optimization 55 (2017), p. 1128-1152
ISSN: 0363-0129
DOI: 10.1137/16M1058418 - :
Large time control and turnpike properties for wave equations
In: Annual Reviews in Control 44 (2017), p. 199-210
ISSN: 1367-5788
DOI: 10.1016/j.arcontrol.2017.04.002
2016
- , , :
Numerical aspects of large-time optimal control of Burgers equation
In: ESAIM: Mathematical Modelling and Numerical Analysis 50 (2016), p. 1371-1401
ISSN: 1290-3841
DOI: 10.1051/m2an/2015076 - , , :
Numerical aspects of sonic-boom minimization
In: Contemporary Mathematics 2016
DOI: 10.1090/conm/658/13133 - , , :
Dispersion for 1-D Schrödinger and wave equations with BV coefficients
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 33 (2016), p. 1473-1495
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2015.06.002 - , :
Null controllability for a heat equation with a singular inverse-square potential involving the distance to the boundary function
In: Journal of Differential Equations 261 (2016), p. 2809-2853
ISSN: 0022-0396
DOI: 10.1016/j.jde.2016.05.019 - , :
Lipschitz dependence of the coefficients on the resolvent and greedy approximation for scalar elliptic problems Dépendance Lipschitz des coefficients comme fonction de la résolvante et approximation greedy pour les problèmes elliptiques scalaires
In: Comptes Rendus Mathematique 354 (2016), p. 1174-1187
ISSN: 1631-073X
DOI: 10.1016/j.crma.2016.10.017 - , , :
Numerical meshes ensuring uniform observability of one-dimensional waves: Construction and analysis
In: IMA Journal of Numerical Analysis 36 (2016), p. 503-542
ISSN: 0272-4979
DOI: 10.1093/imanum/drv026 - , , :
Optimal strategies for driving a mobile agent in a "guidance by repulsion" model
In: Communications in Nonlinear Science and Numerical Simulation 39 (2016), p. 58-72
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2016.02.017 - , , :
Null controllability of linear heat and wave equations with nonlocal spatial terms
In: SIAM Journal on Control and Optimization 54 (2016), p. 2009-2019
ISSN: 0363-0129
DOI: 10.1137/15M1044291 - , , :
Optimal Neumann control for the 1D wave equation: Finite horizon, infinite horizon, boundary tracking terms and the turnpike property
In: Systems & Control Letters 90 (2016), p. 61-70
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2016.02.001 - , :
Exact penalization of terminal constraints for optimal control problems
In: Optimal Control Applications & Methods 37 (2016)
ISSN: 0143-2087
DOI: 10.1002/oca.2238
URL: http://onlinelibrary.wiley.com/doi/10.1002/oca.2238/abstract - , :
Decay rates for 1-d heat-wave planar networks
In: Networks and Heterogeneous Media 11 (2016), p. 655-692
ISSN: 1556-1801
DOI: 10.3934/nhm.2016013 - , :
Greedy controllability of finite dimensional linear systems
In: Automatica 74 (2016), p. 327-340
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2016.08.010 - , :
Control of 2D scalar conservation laws in the presence of shocks
In: Mathematics of Computation 85 (2016), p. 1183-1224
ISSN: 0025-5718
DOI: 10.1090/mcom/3015 - , :
Norm saturating property of time optimal controls for wave-type equations. This work was partially supported by Grants FA9550-14-1-0214 of the EOARD-AFOSR, FA9550-15-1-0027 of AFOSR and the MTM2014-52347 Grants of the MINECO (Spain)
In: IFAC-PapersOnLine 2016
DOI: 10.1016/j.ifacol.2016.07.415 - , :
Averaged controllability for random evolution Partial Differential Equations
In: Journal De Mathematiques Pures Et Appliquees 105 (2016), p. 367-414
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2015.11.004 - , :
On the lack of controllability of fractional in time ODE and PDE
In: Mathematics of Control Signals and Systems 28 (2016), Article No.: 10
ISSN: 0932-4194
DOI: 10.1007/s00498-016-0162-9 - , :
Remarks on long time versus steady state optimal control
DOI: 10.1007/978-3-319-39092-5_5 - , , :
Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains
In: Journal of the European Mathematical Society 18 (2016), p. 1043-1111
ISSN: 1435-9855
DOI: 10.4171/JEMS/608 - , , :
Randomised observation, control and stabilization of waves: [Based on the plenary lecture presented at the 86th Annual GAMM Conference, Lecce, Italy, March 24, 2015]
In: ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 96 (2016), p. 538-549
ISSN: 0044-2267
DOI: 10.1002/zamm.201500181 - :
Stable observation of additive superpositions of Partial Differential Equations
In: Systems & Control Letters 93 (2016), p. 21-29
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2016.02.017
2015
- , , :
Sparse initial data identification for parabolic PDE and its finite element approximations
In: Mathematical Control and Related Fields 5 (2015), p. 377-399
ISSN: 2156-8472
DOI: 10.3934/mcrf.2015.5.377 - , :
Transmutation techniques and observability for time-discrete approximation schemes of conservative systems
In: Numerische Mathematik 130 (2015), p. 425-466
ISSN: 0029-599X
DOI: 10.1007/s00211-014-0668-3 - , :
Weak observability estimates for 1-D wave equations with rough coefficients
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 32 (2015), p. 245-277
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2013.10.004 - , , :
Large-time asymptotics, vanishing viscosity and numerics for 1-D scalar conservation laws
In: Mathematics of Computation 84 (2015), p. 1633-1662
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-2014-02915-3 - , :
Numerical approximation schemes for multi-dimensional wave equations in asymmetric spaces
In: Mathematics of Computation 84 (2015), p. 119-152
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-2014-02887-1 - , :
Propagation of 1D Waves in Regular Discrete Heterogeneous Media: A Wigner Measure Approach
In: Foundations of Computational Mathematics 15 (2015), p. 1571-1636
ISSN: 1615-3375
DOI: 10.1007/s10208-014-9232-x - , , :
Complexity and regularity of maximal energy domains for the wave equation with fixed initial data
In: Discrete and Continuous Dynamical Systems 35 (2015), p. 6133-6153
ISSN: 1078-0947
DOI: 10.3934/dcds.2015.35.6133 - , , :
Optimal Shape and Location of Sensors for Parabolic Equations with Random Initial Data
In: Archive for Rational Mechanics and Analysis 216 (2015), p. 921-981
ISSN: 0003-9527
DOI: 10.1007/s00205-014-0823-0 - , :
The turnpike property in finite-dimensional nonlinear optimal control
In: Journal of Differential Equations 258 (2015), p. 81-114
ISSN: 0022-0396
DOI: 10.1016/j.jde.2014.09.005
2014
- , , :
Null controllability of a system of viscoelasticity with a moving control
In: Journal De Mathematiques Pures Et Appliquees 101 (2014), p. 198-222
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2013.05.009 - , :
Recovery of an initial temperature from discrete sampling
In: Mathematical Models & Methods in Applied Sciences 24 (2014), p. 2487-2501
ISSN: 0218-2025
DOI: 10.1142/S0218202514500262 - , :
Averaged control and observation of parameter-depending wave equations
In: Comptes Rendus Mathematique 352 (2014), p. 497-502
ISSN: 1631-073X
DOI: 10.1016/j.crma.2014.04.007 - , :
Tracking control of 1D scalar conservation laws in the presence of shocks
In: Vincenzo Ancona, Elisabetta Strickland (ed.): Trends in Contemporary Mathematics, Springer International Publishing, 2014, p. 195-219 (Springer INdAM Series, Vol.8)
DOI: 10.1007/978-3-319-05254-0_15 - , :
Robust null controllability for heat equations with unknown switching control mode
In: Discrete and Continuous Dynamical Systems 34 (2014), p. 4183-4210
ISSN: 1078-0947
DOI: 10.3934/dcds.2014.34.4183 - , :
Boundary stabilization of numerical approximations of the 1-D variable coefficients wave equation: A numerical viscosity approach
In: Ronald Hoppe (ed.): Optimization with PDE Constraints, Springer Verlag, 2014, p. 285-324 (Lecture Notes in Computational Science and Engineering, Vol.101)
DOI: 10.1007/978-3-319-08025-3_9 - , , :
Generation of 2D water waves by moving bottom disturbances
In: IMA Journal of Applied Mathematics 80 (2014), p. 1235-1253
ISSN: 0272-4960
DOI: 10.1093/imamat/hxu051 - , , :
Optimal shape and location of sensors or actuators in PDE models
2014 American Control Conference, ACC 2014 (USA, June 4, 2014 - June 6, 2014)
In: Proceedings of the American Control Conference 2014
DOI: 10.1109/ACC.2014.6858664 - :
Averaged control
In: Automatica 50 (2014), p. 3077-3087
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2014.10.054
2013
- , :
Spike controls for elliptic and parabolic PDEs
In: Systems & Control Letters 62 (2013), p. 311-318
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2013.01.001 - , :
Improved multipolar hardy inequalities
In: Massimo Cicognani, Ferruccio Colombini, Daniele Del Santo (ed.): Studies in Phase Space Analysis with Applications to PDEs, Springer US, 2013, p. 35-52 (Progress in Nonlinear Differential Equations and Their Application, Vol.84)
ISBN: 978-1-4614-6348-1
DOI: 10.1007/978-1-4614-6348-1_3 - , , :
Blowup for a time-oscillating nonlinear heat equation
In: Acta Mathematica Universitatis Comenianae 82 (2013), p. 125-146
ISSN: 0862-9544 - , , :
Sensitivity analysis of 1-d steady forced scalar conservation laws
In: Journal of Differential Equations 254 (2013), p. 3817-3834
ISSN: 0022-0396
DOI: 10.1016/j.jde.2013.01.041 - , :
Asymptotic expansions for anisotropic heat kernels
In: Journal of Evolution Equations 13 (2013), p. 1-20
ISSN: 1424-3199
DOI: 10.1007/s00028-012-0166-y - , :
Long time versus steady state optimal control
In: SIAM Journal on Control and Optimization 51 (2013), p. 4242-4273
ISSN: 0363-0129
DOI: 10.1137/130907239 - , , :
Optimal location of controllers for the one-dimensional wave equation
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 30 (2013), p. 1097-1126
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2012.11.005 - , , :
Optimal Observation of the One-dimensional Wave Equation
In: Journal of Fourier Analysis and Applications 19 (2013), p. 514-544
ISSN: 1069-5869
DOI: 10.1007/s00041-013-9267-4 - :
Control and stabilization of waves on 1-d networks
In: Benedetto Piccoli, Michel Rascle (ed.): Modelling and Optimisation of Flows on Networks, Springer Verlag, 2013, p. 463-493 (Lecture Notes in Mathematics, Vol.2062)
DOI: 10.1007/978-3-642-32160-3_9
2012
- , , :
Approximating travelling waves by equilibria of non-local equations
In: Asymptotic Analysis 78 (2012), p. 145-186
ISSN: 0921-7134
DOI: 10.3233/ASY-2011-1088 - , , , :
Continuous adjoint approach for the spalart-allmaras model in aerodynamic optimization
In: Aiaa Journal 50 (2012), p. 631-646
ISSN: 0001-1452
DOI: 10.2514/1.J051307 - , :
The Wave Equation: Control and Numerics
In: Lecture Notes in Mathematics 2048 (2012), p. 245-339
ISSN: 0075-8434
DOI: 10.1007/978-3-642-27893-8_5 - , :
Convergence rates for dispersive approximation schemes to nonlinear Schrodinger equations
In: Journal De Mathematiques Pures Et Appliquees 98 (2012), p. 479-517
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2012.01.001 - , :
ON THE QUADRATIC FINITE ELEMENT APPROXIMATION OF ONE-DIMENSIONAL WAVES: PROPAGATION, OBSERVATION, AND CONTROL
In: SIAM Journal on Numerical Analysis 50 (2012), p. 2744-2777
ISSN: 0036-1429
DOI: 10.1137/110839503 - , , , :
Robust Grid Adaptation for Efficient Uncertainty Quantification
In: Aiaa Journal 50 (2012), p. 1538-1546
ISSN: 0001-1452
DOI: 10.2514/1.J051379 - , :
Null controllability of viscous Hamilton-Jacobi equations
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 29 (2012), p. 301-333
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2011.11.002 - , :
ON THE EQUIVALENCE OF MINIMAL TIME AND MINIMAL NORM CONTROLS FOR INTERNALLY CONTROLLED HEAT EQUATIONS
In: SIAM Journal on Control and Optimization 50 (2012), p. 2938-2958
ISSN: 0363-0129
DOI: 10.1137/110857398
2011
- , , :
On a nonlocal moving frame approximation of traveling waves
In: Comptes Rendus Mathematique 349 (2011), p. 753-758
ISSN: 1631-073X
DOI: 10.1016/j.crma.2011.07.001 - , :
Large Time Asymptotics for Partially Dissipative Hyperbolic Systems
In: Archive for Rational Mechanics and Analysis 199 (2011), p. 177-227
ISSN: 0003-9527
DOI: 10.1007/s00205-010-0321-y - , , , :
NUMERICAL APPROXIMATION OF A ONE-DIMENSIONAL ELLIPTIC OPTIMAL DESIGN PROBLEM
In: Multiscale Modeling & Simulation 9 (2011), p. 1181-1216
ISSN: 1540-3459
DOI: 10.1137/10081928X - , :
FLUX IDENTIFICATION FOR 1-d SCALAR CONSERVATION LAWS IN THE PRESENCE OF SHOCKS
In: Mathematics of Computation 80 (2011), p. 2025-2070
ISSN: 0025-5718 - , :
Observability of heat processes by transmutation without geometric restrictions
In: Mathematical Control and Related Fields 1 (2011), p. 177-187
ISSN: 2156-8472
DOI: 10.3934/mcrf.2011.1.177 - , :
Sharp Observability Estimates for Heat Equations
In: Archive for Rational Mechanics and Analysis 202 (2011), p. 975-1017
ISSN: 0003-9527
DOI: 10.1007/s00205-011-0445-8 - , :
The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide
In: Journal of Differential Equations 250 (2011), p. 2334-2346
ISSN: 0022-0396
DOI: 10.1016/j.jde.2010.11.005 - , :
High frequency wave packets for the Schrodinger equation and its numerical approximations
In: Comptes Rendus Mathematique 349 (2011), p. 105-110
ISSN: 1631-073X
DOI: 10.1016/j.crma.2010.11.009 - , :
On the regularity of null-controls of the linear 1-d heat equation
In: Comptes Rendus Mathematique 349 (2011), p. 673-677
ISSN: 1631-073X
DOI: 10.1016/j.crma.2011.05.005 - , :
Regularity issues for the null-controllability of the linear 1-d heat equation
In: Systems & Control Letters 60 (2011), p. 406-413
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2011.03.005 - :
Switching control
In: Journal of the European Mathematical Society 13 (2011), p. 85-117
ISSN: 1435-9855
DOI: 10.4171/JEMS/245
2010
- , , :
Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system
In: Journal of Systems Science & Complexity 23 (2010), p. 414-430
ISSN: 1009-6124
DOI: 10.1007/s11424-010-0137-8 - , , :
Asymptotics and stabilization for dynamic models of nonlinear beams
In: Proceedings of the Estonian Academy of Sciences 59 (2010), p. 150-155
ISSN: 1736-6046
DOI: 10.3176/proc.2010.2.14 - , , :
Optimal control and vanishing viscosity for the burgers equation
10th International Conference on Integral Methods in Science and Engineering, IMSE 2008 (, July 7, 2008 - July 10, 2008)
In: Integral Methods in Science and Engineering: Analytic Methods 2010
DOI: 10.1007/978-0-8176-4897-8_7 - , :
A SYSTEMATIC METHOD FOR BUILDING SMOOTH CONTROLS FOR SMOOTH DATA
In: Discrete and Continuous Dynamical Systems-Series B 14 (2010), p. 1375-1401
ISSN: 1531-3492
DOI: 10.3934/dcdsb.2010.14.1375 - , :
The Hardy inequality and the heat equation in twisted tubes
In: Journal De Mathematiques Pures Et Appliquees 94 (2010), p. 277-303
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2010.02.006 - , :
Localized solutions and filtering mechanisms for the discontinuous Galerkin semi-discretizations of the 1-d wave equation
In: Comptes Rendus Mathematique 348 (2010), p. 1087-1092
ISSN: 1631-073X
DOI: 10.1016/j.crma.2010.09.012 - , :
Localized solutions for the finite difference semi-discretization of the wave equation
In: Comptes Rendus Mathematique 348 (2010), p. 647-652
ISSN: 1631-073X
DOI: 10.1016/j.crma.2010.03.020 - , :
Numerical approximation of null controls for the heat equation : Ill-posedness and remedies
In: Inverse Problems 26 (2010)
ISSN: 0266-5611
DOI: 10.1088/0266-5611/26/8/085018 - , , :
Exact Controllability of the Time Discrete Wave Equation: A Multiplier Approach
In: W. Fitzgibbon, Y.A. Kuznetsov, Pekka Neittaanmäki, Jacques Périaux, Olivier Pironneau (ed.): Applied and Numerical Partial Differential Equations, Springer Netherland, 2010, p. 229-245 (Computational Methods in Applied Sciences, Vol.15)
DOI: 10.1007/978-90-481-3239-3_17
2009
- , , , :
2-D Euler Shape Design on Nonregular Flows Using Adjoint Rankine-Hugoniot Relations
In: Aiaa Journal 47 (2009), p. 552-562
ISSN: 0001-1452
DOI: 10.2514/1.37149 - , :
Some controllability results for the 2D Kolmogorov equation
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 26 (2009), p. 1793-1815
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2008.12.005 - , :
IDENTIFICATION OF THE CLASS OF INITIAL DATA FOR THE INSENSITIZING CONTROL OF THE HEAT EQUATION
In: Communications on Pure and Applied Analysis 8 (2009), p. 457-471
ISSN: 1534-0392
DOI: 10.3934/cpaa.2009.8.457 - , :
Uniform exponential decay for viscous damped systems*
Siena workshop was in honor of Ferruccio Colombini on the occasion of his 60th birthday, 2007 (Siena, October 10, 2007 - October 13, 2007)
In: Daniele Del Santo, M.K. Venkatesha Murthy, Antonio Bove (ed.): Progress in Nonlinear Differential Equations and Their Application 2009
DOI: 10.1007/978-0-8176-4861-9_6 - , :
Uniformly exponentially stable approximations for a class of damped systems
In: Journal De Mathematiques Pures Et Appliquees 91 (2009), p. 20-48
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2008.09.002 - , :
Convergence of a two-grid algorithm for the control of the wave equation
In: Journal of the European Mathematical Society 11 (2009), p. 351-391
ISSN: 1435-9855 - , :
NUMERICAL DISPERSIVE SCHEMES FOR THE NONLINEAR SCHRODINGER EQUATION
In: SIAM Journal on Numerical Analysis 47 (2009), p. 1366-1390
ISSN: 0036-1429
DOI: 10.1137/070683787 - , :
Null-controllability of the heat equation in unbounded domains
In: Unsolved Problems in Mathematical Systems and Control Theory, Princeton University Press, 2009, p. 163-168 - , :
Stabilization of the wave equation on 1-D networks
In: SIAM Journal on Control and Optimization 48 (2009), p. 2771-2797
ISSN: 0363-0129
DOI: 10.1137/080733590 - , :
HARDY INEQUALITIES, OBSERVABILITY, AND CONTROL FOR THE WAVE AND SCHRODINGER EQUATIONS WITH SINGULAR POTENTIALS
In: SIAM Journal on Mathematical Analysis 41 (2009), p. 1508-1532
ISSN: 0036-1410
DOI: 10.1137/080731396 - , , :
TIME DISCRETE WAVE EQUATIONS: BOUNDARY OBSERVABILITY AND CONTROL
In: Discrete and Continuous Dynamical Systems 23 (2009), p. 571-604
ISSN: 1078-0947
DOI: 10.3934/dcds.2009.23.571 - , :
Exact controllability of the semi-linear wave equation
In: Vincent D. Blondel, Alexandre Megretski (ed.): Unsolved Problems in Mathematical Systems and Control Theory, Princeton University Press, 2009, p. 173-178
ISBN: 9781400826155
2008
- , :
Controllability of the Kirchhoff system for beams as a limit of the Mindlin-Timoshenko system
In: SIAM Journal on Control and Optimization 47 (2008), p. 1909-1938
ISSN: 0363-0129
DOI: 10.1137/060659934 - , , :
An alternating descent method for the optimal control of the inviscid burgers equation in the presence of shocks
In: Mathematical Models & Methods in Applied Sciences 18 (2008), p. 369-416
ISSN: 0218-2025 - , , :
On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 25 (2008), p. 1-41
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2006.07.005 - , , :
On the observability of time-discrete conservative linear systems
In: Journal of Functional Analysis 254 (2008), p. 3037-3078
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2008.03.005 - , :
Perfectly matched layers in 1-d : energy decay for continuous and semi-discrete waves
In: Numerische Mathematik 109 (2008), p. 597-634
ISSN: 0029-599X
DOI: 10.1007/s00211-008-0153-y - , :
Null controllability for the heat equation with singular inverse-square potentials
In: Journal of Functional Analysis 254 (2008), p. 1864-1902
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2007.12.015
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