Enrique Zuazua

2025

• Alcalde Zafra A., Fantuzzi G., Zuazua Iriondo E.:
  Exact Sequence Classification with Hardmax Transformers (Conference contribution, submitted)
  URL: https://arxiv.org/abs/2502.02270
• Biccari U., Warma M., Zuazua Iriondo E.:
  Boundary observation and control for fractional heat and wave equations
  (2025)
  Open Access: https://doi.org/10.48550/arXiv.2504.17413
• Biccari U., Zuazua Iriondo E.:
  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
• Bárcena-Petisco JA., Cavalcante M., Coclite GM., De Nitti N., Zuazua Iriondo E.:
  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
• Crin-Barat T., De Nitti N., Zuazua Iriondo E.:
  On the decay of one-dimensional locally and partially dissipated and hyperbolic systems
  In: Esaim-Control Optimisation and Calculus of Variations (2025)
  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
• Crin-Barat T, Shou L-Y, Zuazua E:
  Large time asymptotics for partially dissipative hyperbolic systems without Fourier analysis: application to the nonlinearly damped p-system
  (2025)
  Open Access: https://doi.org/10.48550/arXiv.2308.08280
• Dehman B., Ervedoza S., Zuazua Iriondo E.:
  Regional and Partial Observability and Control of Waves
  (2025)
• Zakaria F, Ftouhi I, Zuazua E:
  Optimal L^p-approximation of convex sets by convex subsets
  (2025)
  Open Access: https://arxiv.org/pdf/2501.00928
• Hernández Salinas M., Zuazua Iriondo E.:
  Constructive Universal Approximation and Finite Sample Memorization by Narrow Deep Relu Networks
  (2025)
• Ignat LI., Zuazua Iriondo E.:
  Optimal convergence rates for the finite element approximation of the Sobolev constant
  (2025)
• Ignat LI., Zuazua Iriondo E.:
  Sharp Numerical Approximation of the Hardy Constant
  (2025)
  Open Access: https://dcn.nat.fau.eu/wp-content/uploads/hardy-ignat-zuazua.pdf
• Li Z., Liu K., Liverani L., Zuazua Iriondo E.:
  Universal Approximation of Dynamical Systems by Semi-Autonomous Neural ODEs and Applications
  (2025)
  Open Access: https://arxiv.org/abs/2407.17092
  URL: https://arxiv.org/abs/2407.17092
• Liu K., Wang Z., Zuazua Iriondo E.:
  A Potential Game Perspective in Federated Learning
  (2025)
  DOI: 10.48550/arXiv.2411.11793
  URL: https://arxiv.org/abs/2411.11793
• Liu K., Zuazua Iriondo E.:
  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
• Song Y., Wang Z., Zuazua Iriondo E.:
  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
• Trélat E., Zuazua Iriondo E.:
  Turnpike in optimal control and beyond: a survey
  (2025)
• Veldman D., Borkowski A., Zuazua Iriondo E.:
  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
• Álvarez López A., Orive-Illera R., Zuazua Iriondo E.:
  Cluster-based classification with neural ODEs via control
  (2025)
  DOI: 10.4208/jml.241114

2024

• Alcalde Zafra A., Fantuzzi G., Zuazua Iriondo E.:
  Clustering in Pure-Attention Hardmax Transformers and its Role in Sentiment Analysis
  (2024)
  DOI: 10.48550/arXiv.2407.01602
  URL: https://arxiv.org/abs/2407.01602
• Alvarez-Lopez A., Rafael OI., Zuazua Iriondo E.:
  Optimized classification with neural ODEs via separability
  (2024)
  DOI: 10.48550/arXiv.2312.13807
• Barcena Petisco JA., Zuazua Iriondo E.:
  Tracking Controllability for the Heat Equation
  In: IEEETransactions on Automatic Control (2024)
  ISSN: 0018-9286
  DOI: 10.1109/TAC.2024.3476174
• Biccari U., Zuazua Iriondo E.:
  Multilevel selective harmonic modulation by duality
  (2024)
  DOI: 10.1016/j.ifacol.2022.08.081
  URL: https://dcn.nat.fau.eu/wp-content/uploads/SHM_adjoint.pdf
• Coclite GM., De Nitti N., Maddalena F., Orlando G., Zuazua Iriondo E.:
  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
• Coclite GM., De Nitti N., Maddalena F., Orlando G., Zuazua Iriondo E.:
  Exponential convergence to steady-states for trajectories of a damped dynamical system modelling adhesive strings
  In: Mathematical Models & Methods in Applied Sciences (2024)
  ISSN: 0218-2025
  Open Access: https://dcn.nat.fau.eu/wp-content/uploads/CocDNMadOrlZua-231029.pdf
• Dehman B., Zuazua Iriondo E.:
  Boundary sidewise observability of the wave equation
  In: Journal of the European Mathematical Society (2024)
  ISSN: 1435-9855
  Open Access: https://dcn.nat.fau.eu/wp-content/uploads/Dehman-Zuazua.pdf
  URL: https://dcn.nat.fau.eu/wp-content/uploads/Dehman-Zuazua.pdf
• Della Pietra F., Fantuzzi G., Ignat LI., Masiello AL., Paoli G., Zuazua Iriondo E.:
  Finite Element Approximation of the Hardy Constant
  In: Journal of Convex Analysis 31 (2024), p. 497-523
  ISSN: 0944-6532
• Della Pietra F., Fantuzzi G., Ignat LI., Masiello AL., Paoli G., Zuazua Iriondo E.:
  Finite element approximation of the Hardy constant
  (2024)
  DOI: 10.48550/arXiv.2308.01580
• Esteve Yagüe C., Geshkovski B., Pighin D., Zuazua Iriondo E.:
  Large-time asymptotics in deep learning
  (2024)
  DOI: 10.48550/arXiv.2008.02491
• Francisco A., Biccari U., Zuazua Iriondo E.:
  Computational performance of the MMOC in the inverse design of the Doswell frontogenesis equation
  (2024)
  URL: https://arxiv.org/abs/2210.03798
• Ftouhi I., Zuazua Iriondo E.:
  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
• Geshkovski B., Zuazua Iriondo E.:
  Turnpike in Control of PDEs, RESNETs and beyond
  (2024)
  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
• Han ZJ., Zuazua Iriondo E.:
  Slow decay and Turnpike for Infinite-horizon Hyperbolic LQ problems
  (2024)
  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
• Hernández Salinas M., Zuazua Iriondo E.:
  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
• Lazar M., Zuazua Iriondo E.:
  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
• Lecaros R., Lopez-Rios J., Montecinos J., Zuazua Iriondo E.:
  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
• Liard T., Zuazua Iriondo E.:
  Analysis and numerical solvability of backward-forward conservation laws
  (2024)
  DOI: 10.1137/22m1478720
  URL: https://dcn.nat.fau.eu/wp-content/uploads/AnalysisNumSolvability_tLiardEZuazua.pdf
• Mazari I., Ruiz-Balet D., Zuazua Iriondo E.:
  Constrained control of gene-flow models
  (2024)
  DOI: 10.4171/aihpc/52
  URL: https://dcn.nat.fau.eu/wp-content/uploads/ControlHeterogeneousV5.pdf
• Ruiz-Balet D., Zuazua Iriondo E.:
  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
• Ruiz-Balet D., Zuazua Iriondo E.:
  Control of reaction-diffusion models in biology and social sciences
  (2024)
  DOI: 10.3934/mcrf.2022032
  URL: https://dcn.nat.fau.eu/wp-content/uploads/NotesSichuan-DRuizBalet_EZuazua.pdf
• Ruiz-Balet D., Zuazua Iriondo E.:
  Neural ODE Control for Classification, Approximation and Transport
  (2024)
  URL: https://dcn.nat.fau.eu/wp-content/uploads/NeuralODEControl-RuizBaletZuazua.pdf
• Ruiz-Balet D., Zuazua Iriondo E.:
  Pattern control via diffusion interaction
  (2024)
  Open Access: https://dcn.nat.fau.eu/wp-content/uploads/RuizBalet_EZuazua_pattDiffCntrl.pdf
• Sônego M., Zuazua Iriondo E.:
  Control of a Lotka-Volterra System with Weak Competition
  (2024)
  Open Access: https://arxiv.org/abs/2409.20279
  URL: https://arxiv.org/abs/2409.20279
• Veldman D., Borkowski A., Zuazua E.:
  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
• Veldman D., Zuazua Iriondo E.:
  Local Stability and Convergence of Unconstrained Model Predictive Control
  (2024)
  Open Access: http://arxiv.org/abs/2206.01097
  URL: http://arxiv.org/abs/2206.01097
• Wang G., Zhang Y., Zuazua Iriondo E.:
  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
• Wang G., Zhang Y., Zuazua Iriondo E.:
  Reachable subspaces, control regions and heat equations with memory
  (2024)
  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
• Wang Z., Song Y., Zuazua Iriondo E.:
  Approximate and Weighted Data Reconstruction Attack in Federated Learning
  (2024)
  URL: https://arxiv.org/abs/2308.06822
• Zamorano Aliaga SA., Zuazua Iriondo E.:
  Tracking controllability for finite-dimensional linear systems
  (2024)
  Open Access: http://arxiv.org/abs/2407.18641
• Zuazua Iriondo E.:
  Control and Machine Learning
  Open Access: https://dcn.nat.fau.eu/wp-content/uploads/EZuazua_COIA_ControlnML.pdf
• Zuazua Iriondo E.:
  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
• Zuazua Iriondo E. (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
• Zuazua Iriondo E.:
  Fourier series and sidewise profile control of 1-d waves
  (2024)
  Open Access: https://dcn.nat.fau.eu/wp-content/uploads/zuazua_meyer_2023.pdf
• Zuazua Iriondo E.:
  Fourier series and sidewise profile control of 1-d waves
  (2024)
  Open Access: https://arxiv.org/abs/2308.04906
• Zuazua Iriondo E.:
  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
• Álvarez-López A., Slimane AH., Zuazua Iriondo E.:
  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

• Biccari U., Song Y., Yuan X., Zuazua Iriondo E.:
  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
• Biccari U., Zuazua E.:
  Gaussian Beam Ansatz for Finite Difference Wave Equations
  In: Foundations of Computational Mathematics (2023)
  ISSN: 1615-3375
  DOI: 10.1007/s10208-023-09632-9
• Biccari U., Zuazua Iriondo E.:
  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
• Coclite GM., De Nitti N., Keimer A., Pflug L., Zuazua Iriondo E.:
  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
• De Nitti N., Zuazua Iriondo E.:
  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
• Esteve-Yague C., Zuazua Iriondo E.:
  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
• Ftouhi I., Zuazua Iriondo E.:
  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
• Lazar M., Zuazua Iriondo E.:
  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
• Liard T., Zuazua Iriondo E.:
  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
• Mazari I., Ruiz-Balet D., Zuazua Iriondo E.:
  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
• Ruiz-Balet D., Zuazua Iriondo E.:
  Neural ODE Control for Classification, Approximation, and Transport
  In: SIAM Review 65 (2023), p. 735-773
  ISSN: 0036-1445
  DOI: 10.1137/21M1411433
• Zhang C., Zuazua Iriondo E.:
  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

• Biccari U., Warma M., Zuazua Iriondo E.:
  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
• Biccari U., Zuazua Iriondo E.:
  Multilevel Selective Harmonic Modulation by Duality
  In: IFAC-PapersOnLine (2022), p. 56-61
  ISSN: 1474-6670
  DOI: 10.1016/j.ifacol.2022.08.081
• Cindea N., Leugering G., Loheac J., Micu S., Iacob GM., Morris K., Takahashi T., Zuazua Iriondo E.:
  CONTROL AND ANALYSIS OF PARTIAL DIFFERENTIAL EQUATIONS
  2022
• Cîndea N., Leugering G., Lohéac J., Micu S., Morris K., Takahashi T., Zuazua Iriondo E.:
  CONTROL AND ANALYSIS OF PARTIAL DIFFERENTIAL EQUATIONS
  In: Mathematical Reports 24 (2022), p. 1-2
  ISSN: 1582-3067
• Esteve Yagüe C., Geshkovski B., Pighin D., Zuazua Iriondo E.:
  Turnpike in Lipschitz-nonlinear optimal control
  In: Nonlinearity 5 (2022), p. 1652-1701
  ISSN: 0951-7715
  DOI: 10.1088/1361-6544/ac4e61
• Esteve Yagüe C., Kouhkouh H., Pighin D., Zuazua Iriondo E.:
  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
• Esteve-Yague C., Zuazua Iriondo E.:
  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
• Esteve-Yague C., Zuazua Iriondo E.:
  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
• Geshkovski B., Zuazua Iriondo E.:
  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
• Geshkovski B., Zuazua Iriondo E.:
  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
• Glang F., Zaiss M., Laun FB., Fabian MS., German A., Khakzar K., Mennecke A., Liebert A., Herz K., Liebig P., Kasper BS., Schmidt M., Zuazua Iriondo E., Nagel AM., Dörfler A., Scheffler K.:
  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
• Gugat M., Zuazua Iriondo E., Schuster M.:
  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
• Huang S., Zhang H., Chen P., Zhu Y., Zuazua Iriondo E.:
  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
• Jin S., Zhu Y., Zuazua Iriondo E.:
  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
• Jin S., Zhu Y., Zuazua Iriondo E.:
  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)
• Liard T., Zuazua Iriondo E.:
  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
• Ruiz-Balet D., Affili E., Zuazua Iriondo E.:
  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
• Ruiz-Balet D., Zuazua Iriondo E.:
  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)
• Saraç Y., Zuazua Iriondo E.:
  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
• Saraç Y., Zuazua Iriondo E.:
  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
• Trélat E., Zuazua Iriondo E.:
  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
• Veldman D., Zuazua Iriondo E.:
  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
• Zuazua Iriondo E.:
  Control and Machine Learning
  In: SIAM News 55 (2022)
  ISSN: 1557-9573
• Zuazua Iriondo E., Han ZJ.:
  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

• Bárcena-Petisco JA., Zuazua Iriondo E.:
  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
• Geshkovski B., Zuazua Iriondo E.:
  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
• Gugat M., Zuazua Iriondo E., Schuster M.:
  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
• Heiland J., Zuazua Iriondo E.:
  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
• Heiland J., Zuazua Iriondo E.:
  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
• Ko D., Zuazua Iriondo E.:
  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
• Sakamoto N., Zuazua Iriondo E.:
  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
• Sakamoto N., Zuazua Iriondo E.:
  The turnpike property in nonlinear optimal control-A geometric approach
  In: Automatica 134 (2021)
  ISSN: 0005-1098
  DOI: 10.1016/j.automatica.2021.109939
• Wang G., Zhang Y., Zuazua Iriondo E.:
  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

• Biccari U., Marica A., Zuazua Iriondo E.:
  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
• Biccari U., Warma M., Zuazua Iriondo E.:
  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
• Biccari U., Zuazua Iriondo E.:
  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
• Biccari U., Zuazua Iriondo E.:
  A stochastic approach to the synchronization of coupled oscillators
  (2020)
  DOI: 10.3389/fenrg.2020.00115
  (online publication)
• Esteve C., Zuazua Iriondo E.:
  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
• Esteve Yagüe C., Zuazua Iriondo E.:
  The inverse problem for Hamilton-Jacobi equations and semiconcave envelopes
  Workshop on Mathematical Analysis (Universidad de Alicante)
  DOI: 10.1137/20m1330130
• Ko D., Zuazua Iriondo E.:
  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
• Lance G., Trélat E., Zuazua Iriondo E.:
  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
• Lohéac J., Trélat E., Zuazua Iriondo E.:
  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
• Monge A., Zuazua Iriondo E.:
  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
• Ruiz-Balet D., Zuazua Iriondo E.:
  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

• Bianchini R., Gosse L., Zuazua E.:
  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
• Biccari U., Ko D., Zuazua E.:
  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
• Cortés JC., Navarro-Quiles A., Romero JV., Roselló MD., Zuazua Iriondo E.:
  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
• Geshkovski B., Zuazua Iriondo E.:
  Controllability of one-dimensional viscous free boundary flows
  (2019)
  (online publication)
• Hernandez-Santamaria V., Lazar M., Zuazua E.:
  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
• Hernández-Santamaría V., Zuazua Iriondo E.:
  Controllability of shadow reaction-diffusion systems
  In: Journal of Differential Equations (2019)
  ISSN: 0022-0396
  DOI: 10.1016/j.jde.2019.10.012
• Lance G., Trelat E., Zuazua E.:
  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
• Liard T., Zuazua Iriondo E.:
  Inverse design for the one-dimensional Burgers equation
  (2019)
  (online publication)
• Lissy P., Zuazua E.:
  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
• Lohéac J., Trelat E., Zuazua Iriondo E.:
  Nonnegative control of finite-dimensional linear systems
  (2019)
  DOI: 10.1016/j.anihpc.2020.07.004
  (online publication)
• Maity D., Tucsnak M., Zuazua E.:
  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
• Maity D., Tucsnak M., Zuazua Iriondo E.:
  Controllability of a class of infinite dimensional systems with age structure
  In: Control and Cybernetics 48 (2019), p. 231-260
  ISSN: 0324-8569
• Morales-Hernandez M., Zuazua E.:
  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
• Pighin D., Zuazua E.:
  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
• Pouchol C., Trelat E., Zuazua E.:
  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
• Privat Y., Trelat E., Zuazua E.:
  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
• Ruiz-Balet D., Mazari I., Zuazua Iriondo E.:
  Constrained control of bistable reaction-diffusion equations: Gene-flow and spatially heterogeneous models
  (2019)
  (online publication)
• Ruiz-Balet D., Zuazua Iriondo E.:
  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
• Ruiz-Balet D., Zuazua Iriondo E.:
  Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations
  (2019)
  DOI: 10.1016/j.matpur.2020.08.006
  (online publication)
• Sakamoto N., Pighin D., Zuazua E.:
  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

• Alberto Fernandez L., Mateos M., Pola C., Troeltzsch F., Zuazua E.:
  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
• Biccari U., Warma M., Zuazua E.:
  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
• Lissy P., Zuazua E.:
  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
• Loheac J., Trelat E., Zuazua E.:
  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
• Pighin D., Zuazua E.:
  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
• Trelat E., Zhang C., Zuazua E.:
  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
• Trelat E., Zhu J., Zuazua E.:
  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

• Biccari U., Warma M., Zuazua E.:
  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
• Biccari U., Warma M., Zuazua E.:
  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
• Gosse L., Zuazua E.:
  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
• Han ZJ., Zuazua E.:
  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
• Lions JL., Zuazua E.:
  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
• Loheac J., Trelat E., Zuazua E.:
  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
• Loheac J., Zuazua E.:
  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
• Lu Q., Zhang X., Zuazua E.:
  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
• Porretta A., Zuazua E.:
  Numerical hypocoercivity for the Kolmogorov equation
  In: Mathematics of Computation 86 (2017), p. 97-119
  ISSN: 0025-5718
  DOI: 10.1090/mcom/3157
• Privat Y., Trelat E., Zuazua E.:
  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
• Zuazua E.:
  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

• Allahverdi N., Pozo A., Zuazua E.:
  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
• Allahverdi N., Pozo A., Zuazua E.:
  Numerical aspects of sonic-boom minimization
  In: Contemporary Mathematics 2016
  DOI: 10.1090/conm/658/13133
• Beli CN., Ignat LI., Zuazua E.:
  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
• Biccari U., Zuazua E.:
  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
• Choulli M., Zuazua E.:
  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
• Ervedoza S., Marica A., Zuazua E.:
  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
• Escobedo R., Ibanez A., Zuazua E.:
  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
• Fernandez-Cara E., Lu Q., Zuazua E.:
  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
• Gugat M., Trelat E., Zuazua E.:
  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
• Gugat M., Zuazua E.:
  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
• Han ZJ., Zuazua E.:
  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
• Lazar M., Zuazua E.:
  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
• Lecaros R., Zuazua E.:
  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
• Loheac J., Zuazua E.:
  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
• Lu Q., Zuazua E.:
  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
• Lu Q., Zuazua E.:
  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
• Porretta A., Zuazua E.:
  Remarks on long time versus steady state optimal control
  DOI: 10.1007/978-3-319-39092-5_5
• Privat Y., Trelat E., Zuazua E.:
  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
• Privat Y., Trelat E., Zuazua E.:
  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
• Zuazua E.:
  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

• Casas E., Vexler B., Zuazua E.:
  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
• Ervedoza S., Zuazua E.:
  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
• Fanelli F., Zuazua E.:
  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
• Ignat LI., Pozo A., Zuazua E.:
  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
• Lescarret V., Zuazua E.:
  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
• Marica A., Zuazua E.:
  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
• Privat Y., Trelat E., Zuazua E.:
  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
• Privat Y., Trelat E., Zuazua E.:
  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
• Trelat E., Zuazua E.:
  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

• Chaves-Silva FW., Rosier L., Zuazua E.:
  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
• Devore R., Zuazua E.:
  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
• Lazar M., Zuazua E.:
  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
• Lecaros R., Zuazua E.:
  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
• Lu Q., Zuazua E.:
  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
• Marica A., Zuazua E.:
  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
• Nersisyan H., Dutykh D., Zuazua E.:
  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
• Privat Y., Trelat E., Zuazua E.:
  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
• Zuazua E.:
  Averaged control
  In: Automatica 50 (2014), p. 3077-3087
  ISSN: 0005-1098
  DOI: 10.1016/j.automatica.2014.10.054

2013

• Casas E., Zuazua E.:
  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
• Cazacu C., Zuazua E.:
  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
• Cazenave T., Escobedo M., Zuazua E.:
  Blowup for a time-oscillating nonlinear heat equation
  In: Acta Mathematica Universitatis Comenianae 82 (2013), p. 125-146
  ISSN: 0862-9544
• Ersoy M., Feireisl E., Zuazua E.:
  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
• Ignat LI., Zuazua E.:
  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
• Porretta A., Zuazua E.:
  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
• Privat Y., Trelat E., Zuazua E.:
  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
• Privat Y., Trelat E., Zuazua E.:
  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
• Zuazua E.:
  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

• Arrieta JM., Lopez-Fernandez M., Zuazua E.:
  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
• Bueno-Orovio A., Castro C., Palacios F., Zuazua E.:
  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
• Ervedoza S., Zuazua E.:
  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
• Ignat LI., Zuazua E.:
  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
• Marica A., Zuazua E.:
  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
• Palacios F., Duraisamy K., Alonso JJ., Zuazua E.:
  Robust Grid Adaptation for Efficient Uncertainty Quantification
  In: Aiaa Journal 50 (2012), p. 1538-1546
  ISSN: 0001-1452
  DOI: 10.2514/1.J051379
• Porretta A., Zuazua E.:
  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
• Wang G., Zuazua E.:
  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

• Arrieta JM., Lopez-Fernandez M., Zuazua E.:
  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
• Beauchard K., Zuazua E.:
  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
• Casado-Diaz J., Castro C., Luna-Laynez M., Zuazua E.:
  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
• Castro C., Zuazua E.:
  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
• Ervedoza S., Zuazua E.:
  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
• Ervedoza S., Zuazua E.:
  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
• Krejcirik D., Zuazua E.:
  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
• Marica A., Zuazua E.:
  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
• Micu S., Zuazua E.:
  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
• Micu S., Zuazua E.:
  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
• Zuazua E.:
  Switching control
  In: Journal of the European Mathematical Society 13 (2011), p. 85-117
  ISSN: 1435-9855
  DOI: 10.4171/JEMS/245

2010

• Araruna FD., Braz E Silva P., Zuazua E.:
  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
• Araruna FD., Braz E Silva P., Zuazua E.:
  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
• Castro CM., Palacios F., Zuazua E.:
  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
• Ervedoza S., Zuazua E.:
  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
• Krejcirik D., Zuazua E.:
  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
• Marica A., Zuazua E.:
  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
• Marica A., Zuazua E.:
  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
• Muench A., Zuazua E.:
  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
• Zhang X., Zheng C., Zuazua E.:
  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

• Baeza A., Castro C., Palacios F., Zuazua E.:
  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
• Beauchard K., Zuazua E.:
  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
• De Teresa L., Zuazua E.:
  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
• Ervedoza S., Zuazua E.:
  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
• Ervedoza S., Zuazua E.:
  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
• Ignat LI., Zuazua E.:
  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
• Ignat LI., Zuazua E.:
  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
• Micu S., Zuazua E.:
  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
• Valein J., Zuazua E.:
  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
• Vancostenoble J., Zuazua E.:
  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
• Zhang X., Zheng C., Zuazua E.:
  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
• Zhang X., Zuazua E.:
  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

• Araruna FD., Zuazua E.:
  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
• Castro C., Palacios F., Zuazua E.:
  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
• Duyckaerts T., Zhang X., Zuazua E.:
  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
• Ervedoza S., Zheng C., Zuazua E.:
  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
• Ervedoza S., Zuazua E.:
  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
• Vancostenoble J., Zuazua E.:
  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