Enrique Zuazua

Publication Activity (10 Years)

Years Active: 2000-2024
Publications (10 Years): 57

Top Topics

Partial Differential Equations

Infinite Horizon

Control Problems

Top Venues

SIAM J. Control. Optim.

Syst. Control. Lett.

Publications

Martin Lazar, Enrique Zuazua
Eigenvalue bounds for the Gramian operator of the heat equation. Autom. 164 (2024)
Yongcun Song, Ziqi Wang, Enrique Zuazua
FedADMM-InSa: An Inexact and Self-Adaptive ADMM for Federated Learning. CoRR (2024)
Gino I. Montecinos, Rodrigo Lecaros, Juan Carlos López Ríos, Enrique Zuazua
Optimal control approach for moving bottom detection in one-dimensional shallow waters by surface measurements. CoRR (2024)
Antonio Álvarez-López, Arselane Hadj Slimane, Enrique Zuazua
Interplay between depth and width for interpolation in neural ODEs. CoRR (2024)
Ilias Ftouhi, Enrique Zuazua
Optimal Placement and Shape Design of Sensors via Geometric Criteria. ECC (2024)
Albert Alcalde, Giovanni Fantuzzi, Enrique Zuazua
Clustering in pure-attention hardmax transformers and its role in sentiment analysis. CoRR (2024)
Ziqian Li, Kang Liu, Lorenzo Liverani, Enrique Zuazua
Universal Approximation of Dynamical Systems by Semi-Autonomous Neural ODEs and Applications. CoRR (2024)
Domènec Ruiz-Balet, Enrique Zuazua
Neural ODE Control for Classification, Approximation, and Transport. SIAM Rev. 65 (3) (2023)
Antonio Álvarez-López, Rafael Orive-Illera, Enrique Zuazua
Optimized classification with neural ODEs via separability. CoRR (2023)
Umberto Biccari, Enrique Zuazua
Multilevel control by duality. Syst. Control. Lett. 175 (2023)
Ziqi Wang, Yongcun Song, Enrique Zuazua
Approximate and Weighted Data Reconstruction Attack in Federated Learning. CoRR (2023)
Francesco Della Pietra, Giovanni Fantuzzi, Liviu I. Ignat, Alba Lia Masiello, Gloria Paoli, Enrique Zuazua
Finite element approximation of the Hardy constant. CoRR (2023)
Borjan Geshkovski, Enrique Zuazua
Optimal Actuator Design via Brunovsky's Normal Form. IEEE Trans. Autom. Control. 67 (12) (2022)
Shi Jin, Yuhua Zhu, Enrique Zuazua
The Vlasov-Fokker-Planck equation with high dimensional parametric forcing term. Numerische Mathematik 150 (2) (2022)
Daniel W. M. Veldman, Enrique Zuazua
A framework for randomized time-splitting in linear-quadratic optimal control. Numerische Mathematik 151 (2) (2022)
Borjan Geshkovski, Enrique Zuazua
Turnpike in optimal control of PDEs, ResNets, and beyond. Acta Numer. 31 (2022)
Yesim Saraç, Enrique Zuazua
Sidewise Profile Control of 1-D Waves. J. Optim. Theory Appl. 193 (1) (2022)
Thibault Liard, Enrique Zuazua
Initial Data Identification for the One-Dimensional Burgers Equation. IEEE Trans. Autom. Control. 67 (6) (2022)
Domènec Ruiz-Balet, Elisa Affili, Enrique Zuazua
Interpolation and approximation via Momentum ResNets and Neural ODEs. Syst. Control. Lett. 162 (2022)
Carlos Esteve Yagüe, Enrique Zuazua
Differentiability With Respect to the Initial Condition for Hamilton-Jacobi Equations. SIAM J. Math. Anal. 54 (5) (2022)
Zhong-Jie Han, Enrique Zuazua
Slow Decay and Turnpike for Infinite-Horizon Hyperbolic Linear Quadratic Problems. SIAM J. Control. Optim. 60 (4) (2022)
Alexandre Francisco, Umberto Biccari, Enrique Zuazua
Computational performance of the MMOC in the inverse design of the Doswell frontogenesis equation. CoRR (2022)
Carlos Esteve, Hicham Kouhkouh, Dario Pighin, Enrique Zuazua
The turnpike property and the longtime behavior of the Hamilton-Jacobi-Bellman equation for finite-dimensional LQ control problems. Math. Control. Signals Syst. 34 (4) (2022)
Noboru Sakamoto, Enrique Zuazua
The turnpike property in nonlinear optimal control - A geometric approach. Autom. 134 (2021)
Borjan Geshkovski, Enrique Zuazua
Controllability of One-Dimensional Viscous Free Boundary Flows. SIAM J. Control. Optim. 59 (3) (2021)
Borjan Geshkovski, Enrique Zuazua
Optimal actuator design via Brunovsky's normal form. CoRR (2021)
Jan Heiland, Enrique Zuazua
Classical System Theory Revisited for Turnpike in Standard State Space Systems and Impulse Controllable Descriptor Systems. SIAM J. Control. Optim. 59 (5) (2021)
Jon Asier Bárcena-Petisco, Enrique Zuazua
Averaged dynamics and control for heat equations with random diffusion. Syst. Control. Lett. 158 (2021)
Carlos Esteve, Borjan Geshkovski, Dario Pighin, Enrique Zuazua
Large-time asymptotics in deep learning. CoRR (2020)
Juan Carlos Cortés, A. Navarro-Quiles, José Vicente Romero, María Dolores Roselló, Enrique Zuazua
Full probabilistic solution of a finite dimensional linear control system with random initial and final conditions. J. Frankl. Inst. 357 (12) (2020)
Carlos Esteve, Borjan Geshkovski, Dario Pighin, Enrique Zuazua
Turnpike in Lipschitz-nonlinear optimal control. CoRR (2020)
Umberto Biccari, Aurora Marica, Enrique Zuazua
Propagation of One- and Two-Dimensional Discrete Waves Under Finite Difference Approximation. Found. Comput. Math. 20 (6) (2020)
Gontran Lance, Emmanuel Trélat, Enrique Zuazua
Shape turnpike for linear parabolic PDE models. Syst. Control. Lett. 142 (2020)
Carlos Esteve, Enrique Zuazua
The Inverse Problem for Hamilton-Jacobi Equations and Semiconcave Envelopes. SIAM J. Math. Anal. 52 (6) (2020)
Azahar Monge, Enrique Zuazua
Sparse source identification of linear diffusion-advection equations by adjoint methods. Syst. Control. Lett. 145 (2020)
Noboru Sakamoto, Dario Pighin, Enrique Zuazua
The turnpike property in nonlinear optimal control - A geometric approach. CDC (2019)
Umberto Biccari, Noboru Sakamoto, Eneko Unamuno, Danel Madariaga, Enrique Zuazua, Jon Andoni Barrena
Model Reduction of Converter-Dominated Power Systems by Singular Perturbation Theory. CoRR (2019)
Pierre Lissy, Enrique Zuazua
Internal Observability for Coupled Systems of Linear Partial Differential Equations. SIAM J. Control. Optim. 57 (2) (2019)
Roberta Bianchini, Laurent Gosse, Enrique Zuazua
A Two-Dimensional "Flea on the Elephant" Phenomenon and its Numerical Visualization. Multiscale Model. Simul. 17 (1) (2019)
Gontran Lance, Emmanuel Trélat, Enrique Zuazua
Turnpike in optimal shape design. CoRR (2019)
Víctor Hernández-Santamaría, Martin Lazar, Enrique Zuazua
Greedy optimal control for elliptic problems and its application to turnpike problems. Numerische Mathematik 141 (2) (2019)
Shi Jin, Yuhua Zhu, Enrique Zuazua
The Vlasov-Fokker-Planck Equation with High Dimensional Parametric Forcing Term. CoRR (2019)
Emmanuel Trélat, Can Zhang, Enrique Zuazua
Steady-State and Periodic Exponential Turnpike Property for Optimal Control Problems in Hilbert Spaces. SIAM J. Control. Optim. 56 (2) (2018)
Jérôme Lohéac, Emmanuel Trélat, Enrique Zuazua
Minimal controllability time for finite-dimensional control systems under state constraints. Autom. 96 (2018)
Zhong-Jie Han, Enrique Zuazua
Decay rates for elastic-thermoelastic star-shaped networks. Networks Heterog. Media 12 (3) (2017)
Enrique Zuazua
Large time control and turnpike properties for wave equations. Annu. Rev. Control. 44 (2017)
Felipe Wallison Chaves Silva, Xu Zhang, Enrique Zuazua
Controllability of Evolution Equations with Memory. SIAM J. Control. Optim. 55 (4) (2017)
Yannick Privat, Emmanuel Trélat, Enrique Zuazua
Actuator Design for Parabolic Distributed Parameter Systems with the Moment Method. SIAM J. Control. Optim. 55 (2) (2017)
Alessio Porretta, Enrique Zuazua
Numerical hypocoercivity for the Kolmogorov equation. Math. Comput. 86 (303) (2017)
Rodrigo Lecaros, Enrique Zuazua
Control of 2D scalar conservation laws in the presence of shocks. Math. Comput. 85 (299) (2016)
Enrique Zuazua
Stable observation of additive superpositions of Partial Differential Equations. Syst. Control. Lett. 93 (2016)
Qi Lü, Enrique Zuazua
On the lack of controllability of fractional in time ODE and PDE. Math. Control. Signals Syst. 28 (2) (2016)
Zhong-Jie Han, Enrique Zuazua
Decay rates for $1-d$ heat-wave planar networks. Networks Heterog. Media 11 (4) (2016)
Ramón Escobedo, Aitziber Ibañez, Enrique Zuazua
Optimal strategies for driving a mobile agent in a "guidance by repulsion" model. Commun. Nonlinear Sci. Numer. Simul. 39 (2016)
Martin Gugat, Emmanuel Trélat, Enrique Zuazua
Optimal Neumann control for the 1D wave equation: Finite horizon, infinite horizon, boundary tracking terms and the turnpike property. Syst. Control. Lett. 90 (2016)
Martin Lazar, Enrique Zuazua
Greedy controllability of finite dimensional linear systems. Autom. 74 (2016)
Enrique Fernández-Cara, Qi Lü, Enrique Zuazua
Null Controllability of Linear Heat and Wave Equations with Nonlocal Spatial Terms. SIAM J. Control. Optim. 54 (4) (2016)
Sylvain Ervedoza, Enrique Zuazua
Transmutation techniques and observability for time-discrete approximation schemes of conservative systems. Numerische Mathematik 130 (3) (2015)
Ramón Escobedo, Aitziber Ibañez, Enrique Zuazua
Optimal strategies for driving a mobile agent in a guidance by repulsion model. CoRR (2015)
Liviu I. Ignat, Alejandro Pozo, Enrique Zuazua
Large-time asymptotics, vanishing viscosity and numerics for 1-D scalar conservation laws. Math. Comput. 84 (294) (2015)
Vincent Lescarret, Enrique Zuazua
Numerical approximation schemes for multi-dimensional wave equations in asymmetric spaces. Math. Comput. 84 (291) (2015)
Aurora Marica, Enrique Zuazua
Propagation of 1D Waves in Regular Discrete Heterogeneous Media: A Wigner Measure Approach. Found. Comput. Math. 15 (6) (2015)
Yannick Privat, Emmanuel Trélat, Enrique Zuazua
Optimal shape and location of sensors or actuators in PDE models. ACC (2014)
Enrique Zuazua
Averaged control. Autom. 50 (12) (2014)
Alessio Porretta, Enrique Zuazua
Long Time versus Steady State Optimal Control. SIAM J. Control. Optim. 51 (6) (2013)
Eduardo Casas, Enrique Zuazua
Spike controls for elliptic and parabolic PDEs. Syst. Control. Lett. 62 (4) (2013)
Aurora Marica, Enrique Zuazua
On the Quadratic Finite Element Approximation of One-Dimensional Waves: Propagation, Observation, and Control. SIAM J. Numer. Anal. 50 (5) (2012)
Gengsheng Wang, Enrique Zuazua
On the Equivalence of Minimal Time and Minimal Norm Controls for Internally Controlled Heat Equations. SIAM J. Control. Optim. 50 (5) (2012)
José M. Arrieta, María López-Fernández, Enrique Zuazua
Approximating travelling waves by equilibria of non-local equations. Asymptot. Anal. 78 (3) (2012)
Sorin Micu, Enrique Zuazua
Regularity issues for the null-controllability of the linear 1-d heat equation. Syst. Control. Lett. 60 (6) (2011)
Carlos Castro, Enrique Zuazua
Flux identification for 1-d scalar conservation laws in the presence of shocks. Math. Comput. 80 (276) (2011)
Juan Casado-Díaz, Carlos Castro, Manuel Luna-Laynez, Enrique Zuazua
Numerical Approximation of a One-Dimensional Elliptic Optimal Design Problem. Multiscale Model. Simul. 9 (3) (2011)
Fágner D. Araruna, Pablo Braz e Silva, Enrique Zuazua
Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system. J. Syst. Sci. Complex. 23 (3) (2010)
Liviu I. Ignat, Enrique Zuazua
Numerical Dispersive Schemes for the Nonlinear Schrödinger Equation. SIAM J. Numer. Anal. 47 (2) (2009)
Julie Valein, Enrique Zuazua
Stabilization of the Wave Equation on 1-d Networks. SIAM J. Control. Optim. 48 (4) (2009)
Judith Vancostenoble, Enrique Zuazua
Hardy Inequalities, Observability, and Control for the Wave and Schrödinger Equations with Singular Potentials. SIAM J. Math. Anal. 41 (4) (2009)
Sylvain Ervedoza, Enrique Zuazua
Perfectly matched layers in 1-d : energy decay for continuous and semi-discrete waves. Numerische Mathematik 109 (4) (2008)
Fágner D. Araruna, Enrique Zuazua
Controllability of the Kirchhoff System for Beams as a Limit of the Mindlin-Timoshenko System. SIAM J. Control. Optim. 47 (4) (2008)
Louis Roder Tcheugoué Tébou, Enrique Zuazua
wave equation. Adv. Comput. Math. 26 (1-3) (2007)
Sorin Micu, Enrique Zuazua
On the Controllability of a Fractional Order Parabolic Equation. SIAM J. Control. Optim. 44 (6) (2006)
Mihaela Negreanu, Enrique Zuazua
Discrete Ingham Inequalities and Applications. SIAM J. Numer. Anal. 44 (1) (2006)
Mihaela Negreanu, Enrique Zuazua
Uniform observability of the wave equation via a discrete Ingham inequality. CDC/ECC (2005)
Enrique Zuazua
Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods. SIAM Rev. 47 (2) (2005)
Mihaela Negreanu, Enrique Zuazua
Convergence of a multi-grid algorithm for the controllability of the wave equation. CDC/ECC (2005)
Rafael Orive, Enrique Zuazua
Finite Difference Approximation of Homogenization Problems for Elliptic Equations. Multiscale Model. Simul. 4 (1) (2005)
Carlos Castro, Enrique Zuazua
Unique Continuation and Control for the Heat Equation from an Oscillating Lower Dimensional Manifold. SIAM J. Control. Optim. 43 (4) (2004)
Jaime H. Ortega, Enrique Zuazua
Addendum to "Generic Simplicity of the Spectrum and Stabilization for a Plate Equation". SIAM J. Control. Optim. 42 (5) (2003)
Louis Roder Tcheugoué Tébou, Enrique Zuazua
Uniform exponential long time decay for the space semi-discretization of a locally damped wave equation via an artificial numerical viscosity. Numerische Mathematik 95 (3) (2003)
D. Chenais, Enrique Zuazua
Controllability of an Elliptic equation and its Finite Difference Approximation by the Shape of the Domain. Numerische Mathematik 95 (1) (2003)
G. Perla Menzala, Enrique Zuazua
The energy decay rate for the modified Von Kármán system of thermoelastic plates: An improvement. Appl. Math. Lett. 16 (4) (2003)
Mihaela Negreanu, Enrique Zuazua
Uniform boundary controllability of a discrete 1-D wave equation. Syst. Control. Lett. 48 (3-4) (2003)
Enrique Zuazua
Remarks on the controllability of the Schrödinger equation. CRM Workshop (2002)
Anna Doubova, Enrique Fernández-Cara, Manuel González-Burgos, Enrique Zuazua
On the Controllability of Parabolic Systems with a Nonlinear Term Involving the State and the Gradient. SIAM J. Control. Optim. 41 (3) (2002)
Jaime H. Ortega, Enrique Zuazua
Generic Simplicity of the Spectrum and Stabilization for a Plate Equation. SIAM J. Control. Optim. 39 (5) (2000)
Carlos Castro, Enrique Zuazua
Low Frequency Asymptotic Analysis of a String with Rapidly Oscillating Density. SIAM J. Appl. Math. 60 (4) (2000)