Enrique Zuazua

Orcid: 0000-0002-1377-0958

According to our database1, Enrique Zuazua authored at least 89 papers between 2000 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
FedADMM-InSa: An Inexact and Self-Adaptive ADMM for Federated Learning.
CoRR, 2024

Optimal control approach for moving bottom detection in one-dimensional shallow waters by surface measurements.
CoRR, 2024

Interplay between depth and width for interpolation in neural ODEs.
CoRR, 2024

2023
Neural ODE Control for Classification, Approximation, and Transport.
SIAM Rev., August, 2023

Multilevel control by duality.
Syst. Control. Lett., May, 2023

Optimized classification with neural ODEs via separability.
CoRR, 2023

Approximate and Weighted Data Reconstruction Attack in Federated Learning.
CoRR, 2023

Finite element approximation of the Hardy constant.
CoRR, 2023

2022
Slow Decay and Turnpike for Infinite-Horizon Hyperbolic Linear Quadratic Problems.
SIAM J. Control. Optim., August, 2022

Turnpike in optimal control of PDEs, ResNets, and beyond.
Acta Numer., May, 2022

Initial Data Identification for the One-Dimensional Burgers Equation.
IEEE Trans. Autom. Control., 2022

Optimal Actuator Design via Brunovsky's Normal Form.
IEEE Trans. Autom. Control., 2022

Differentiability With Respect to the Initial Condition for Hamilton-Jacobi Equations.
SIAM J. Math. Anal., 2022

Interpolation and approximation via Momentum ResNets and Neural ODEs.
Syst. Control. Lett., 2022

A framework for randomized time-splitting in linear-quadratic optimal control.
Numerische Mathematik, 2022

The Vlasov-Fokker-Planck equation with high dimensional parametric forcing term.
Numerische Mathematik, 2022

The turnpike property and the longtime behavior of the Hamilton-Jacobi-Bellman equation for finite-dimensional LQ control problems.
Math. Control. Signals Syst., 2022

Sidewise Profile Control of 1-D Waves.
J. Optim. Theory Appl., 2022

Computational performance of the MMOC in the inverse design of the Doswell frontogenesis equation.
CoRR, 2022

2021
Classical System Theory Revisited for Turnpike in Standard State Space Systems and Impulse Controllable Descriptor Systems.
SIAM J. Control. Optim., 2021

Controllability of One-Dimensional Viscous Free Boundary Flows.
SIAM J. Control. Optim., 2021

Averaged dynamics and control for heat equations with random diffusion.
Syst. Control. Lett., 2021

The turnpike property in nonlinear optimal control - A geometric approach.
Autom., 2021

2020
The Inverse Problem for Hamilton-Jacobi Equations and Semiconcave Envelopes.
SIAM J. Math. Anal., 2020

Sparse source identification of linear diffusion-advection equations by adjoint methods.
Syst. Control. Lett., 2020

Shape turnpike for linear parabolic PDE models.
Syst. Control. Lett., 2020

Full probabilistic solution of a finite dimensional linear control system with random initial and final conditions.
J. Frankl. Inst., 2020

Propagation of One- and Two-Dimensional Discrete Waves Under Finite Difference Approximation.
Found. Comput. Math., 2020

Turnpike in Lipschitz-nonlinear optimal control.
CoRR, 2020

Large-time asymptotics in deep learning.
CoRR, 2020

2019
Internal Observability for Coupled Systems of Linear Partial Differential Equations.
SIAM J. Control. Optim., 2019

Greedy optimal control for elliptic problems and its application to turnpike problems.
Numerische Mathematik, 2019

A Two-Dimensional "Flea on the Elephant" Phenomenon and its Numerical Visualization.
Multiscale Model. Simul., 2019

Turnpike in optimal shape design.
CoRR, 2019

Model Reduction of Converter-Dominated Power Systems by Singular Perturbation Theory.
CoRR, 2019

Adjoint computational methods for 2D inverse design of linear transport equations on unstructured grids.
Comput. Appl. Math., 2019

The turnpike property in nonlinear optimal control - A geometric approach.
Proceedings of the 58th IEEE Conference on Decision and Control, 2019

2018
Steady-State and Periodic Exponential Turnpike Property for Optimal Control Problems in Hilbert Spaces.
SIAM J. Control. Optim., 2018

Minimal controllability time for finite-dimensional control systems under state constraints.
Autom., 2018

2017
Controllability of Evolution Equations with Memory.
SIAM J. Control. Optim., 2017

Actuator Design for Parabolic Distributed Parameter Systems with the Moment Method.
SIAM J. Control. Optim., 2017

Decay rates for elastic-thermoelastic star-shaped networks.
Networks Heterog. Media, 2017

Numerical hypocoercivity for the Kolmogorov equation.
Math. Comput., 2017

Large time control and turnpike properties for wave equations.
Annu. Rev. Control., 2017

2016
Null Controllability of Linear Heat and Wave Equations with Nonlocal Spatial Terms.
SIAM J. Control. Optim., 2016

Stable observation of additive superpositions of Partial Differential Equations.
Syst. Control. Lett., 2016

Optimal Neumann control for the 1D wave equation: Finite horizon, infinite horizon, boundary tracking terms and the turnpike property.
Syst. Control. Lett., 2016

Decay rates for $1-d$ heat-wave planar networks.
Networks Heterog. Media, 2016

Control of 2D scalar conservation laws in the presence of shocks.
Math. Comput., 2016

On the lack of controllability of fractional in time ODE and PDE.
Math. Control. Signals Syst., 2016

Optimal strategies for driving a mobile agent in a "guidance by repulsion" model.
Commun. Nonlinear Sci. Numer. Simul., 2016

Greedy controllability of finite dimensional linear systems.
Autom., 2016

2015
Transmutation techniques and observability for time-discrete approximation schemes of conservative systems.
Numerische Mathematik, 2015

Numerical approximation schemes for multi-dimensional wave equations in asymmetric spaces.
Math. Comput., 2015

Large-time asymptotics, vanishing viscosity and numerics for 1-D scalar conservation laws.
Math. Comput., 2015

Propagation of 1D Waves in Regular Discrete Heterogeneous Media: A Wigner Measure Approach.
Found. Comput. Math., 2015

2014
Averaged control.
Autom., 2014

Optimal shape and location of sensors or actuators in PDE models.
Proceedings of the American Control Conference, 2014

2013
Long Time versus Steady State Optimal Control.
SIAM J. Control. Optim., 2013

Spike controls for elliptic and parabolic PDEs.
Syst. Control. Lett., 2013

2012
On the Quadratic Finite Element Approximation of One-Dimensional Waves: Propagation, Observation, and Control.
SIAM J. Numer. Anal., 2012

On the Equivalence of Minimal Time and Minimal Norm Controls for Internally Controlled Heat Equations.
SIAM J. Control. Optim., 2012

Approximating travelling waves by equilibria of non-local equations.
Asymptot. Anal., 2012

2011
Regularity issues for the null-controllability of the linear 1-d heat equation.
Syst. Control. Lett., 2011

Flux identification for 1-d scalar conservation laws in the presence of shocks.
Math. Comput., 2011

Numerical Approximation of a One-Dimensional Elliptic Optimal Design Problem.
Multiscale Model. Simul., 2011

2010
Asymptotic limits and stabilization for the 1D nonlinear Mindlin-Timoshenko system.
J. Syst. Sci. Complex., 2010

2009
Numerical Dispersive Schemes for the Nonlinear Schrödinger Equation.
SIAM J. Numer. Anal., 2009

Hardy Inequalities, Observability, and Control for the Wave and Schrödinger Equations with Singular Potentials.
SIAM J. Math. Anal., 2009

Stabilization of the Wave Equation on 1-d Networks.
SIAM J. Control. Optim., 2009

2008
Controllability of the Kirchhoff System for Beams as a Limit of the Mindlin-Timoshenko System.
SIAM J. Control. Optim., 2008

Perfectly matched layers in 1-d : energy decay for continuous and semi-discrete waves.
Numerische Mathematik, 2008

2007
Uniform boundary stabilization of the finite difference space discretization of the 1-<i>d</i> wave equation.
Adv. Comput. Math., 2007

2006
Discrete Ingham Inequalities and Applications.
SIAM J. Numer. Anal., 2006

On the Controllability of a Fractional Order Parabolic Equation.
SIAM J. Control. Optim., 2006

2005
Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods.
SIAM Rev., 2005

Finite Difference Approximation of Homogenization Problems for Elliptic Equations.
Multiscale Model. Simul., 2005

Uniform observability of the wave equation via a discrete Ingham inequality.
Proceedings of the 44th IEEE IEEE Conference on Decision and Control and 8th European Control Conference Control, 2005

Convergence of a multi-grid algorithm for the controllability of the wave equation.
Proceedings of the 44th IEEE IEEE Conference on Decision and Control and 8th European Control Conference Control, 2005

2004
Unique Continuation and Control for the Heat Equation from an Oscillating Lower Dimensional Manifold.
SIAM J. Control. Optim., 2004

2003
Addendum to "Generic Simplicity of the Spectrum and Stabilization for a Plate Equation".
SIAM J. Control. Optim., 2003

Uniform boundary controllability of a discrete 1-D wave equation.
Syst. Control. Lett., 2003

Uniform exponential long time decay for the space semi-discretization of a locally damped wave equation via an artificial numerical viscosity.
Numerische Mathematik, 2003

Controllability of an Elliptic equation and its Finite Difference Approximation by the Shape of the Domain.
Numerische Mathematik, 2003

The energy decay rate for the modified Von Kármán system of thermoelastic plates: An improvement.
Appl. Math. Lett., 2003

2002
On the Controllability of Parabolic Systems with a Nonlinear Term Involving the State and the Gradient.
SIAM J. Control. Optim., 2002

Remarks on the controllability of the Schrödinger equation.
Proceedings of the Quantum Control, 2002

2000
Generic Simplicity of the Spectrum and Stabilization for a Plate Equation.
SIAM J. Control. Optim., 2000

Low Frequency Asymptotic Analysis of a String with Rapidly Oscillating Density.
SIAM J. Appl. Math., 2000


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