Dynamic Control and Numerics of Partial Differential Equations

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Publications

Averaged dynamics and control for heat equations with random diffusion

Author(s): Jon Asier Bárcena Petisco, Enrique Zuazua
Published in: Systems & Control Letters, Issue 01676911, 2021, Page(s) 105055, ISSN 0167-6911
Publisher: Elsevier BV
DOI: 10.1016/j.sysconle.2021.105055

Applying the random variable transformation method to solve a class of random linear differential equation with discrete delay

Author(s): Tomás Caraballo, J.-C. Cortés, A. Navarro-Quiles
Published in: Applied Mathematics and Computation, Issue 356, 2019, Page(s) 198-218, ISSN 0096-3003
Publisher: Elsevier BV
DOI: 10.1016/j.amc.2019.03.048

Turnpike in Lipschitz-nonlinear optimal control

Author(s): Carlos Esteve, B. Geshkovski, Dario Pighin, Enrique Zuazua
Published in: Nonlinearity, Issue 09517715, 2022, Page(s) 1652-1701, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ac4e61

Controllability of the one-dimensional fractional heat equation under positivity constraints

Author(s): Umberto Biccari, Mahamadi Warma, Enrique Zuazua
Published in: Communications on Pure & Applied Analysis, Issue 19/4, 2020, Page(s) 1949-1978, ISSN 1534-0392
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/cpaa.2020086

A framework for randomized time-splitting in linear-quadratic optimal control

Author(s): Daniël Veldman, Enrique Zuazua
Published in: Numerische Mathematik, Issue 0029599X, 2022, Page(s) 495-549, ISSN 0029-599X
Publisher: Springer Verlag
DOI: 10.1007/s00211-022-01290-3

Control of reaction-diffusion models in biology and social sciences

Author(s): Domènec Ruiz-Balet, Enrique Zuazua
Published in: Mathematical Control and Related Fields, 2022, ISSN 2156-8472
Publisher: American Institute of Mathematical Sciences

Multilevel Selective Harmonic Modulation via Optimal Control

Author(s): Umberto Biccari, Carlos Esteve-Yagüe, Deyviss Jesús Oroya-Villalta
Published in: Applied Mathematics & Optimization, 2022, ISSN 0095-4616
Publisher: Springer Verlag

Slow decay and turnpike for infinite-horizon hyperbolic LQ problems

Author(s): Han, Zhong-Jie; Zuazua, Enrique
Published in: SIAM Journal on Control and Optimization, Issue 03630129, 2022, Page(s) 2440-2468, ISSN 0363-0129
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.48550/arxiv.2108.10240

Numerical hypocoercivity for the Kolmogorov equation

Author(s): Alessio Porretta, Enrique Zuazua
Published in: Mathematics of Computation, Issue 86/303, 2017, Page(s) 97-119, ISSN 0025-5718
Publisher: American Mathematical Society
DOI: 10.1090/mcom/3157

The Vlasov-Fokker-Planck Equation with High Dimensional Parametric Forcing Term

Author(s): Shi Jin, Yuhua Zhu, Enrique Zuazua
Published in: Numerische Mathematics, Issue 0029599X, 2022, Page(s) 479-519, ISSN 0029-599X
Publisher: Springer Verlag
DOI: 10.1007/s00211-021-01257-w

On coupling kinetic and Schrödinger equations

Author(s): Avy Soffer, Minh-Binh Tran
Published in: Journal of Differential Equations, Issue 265/5, 2018, Page(s) 2243-2279, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2018.04.031

Local null controllability of a model system for strong interaction between internal solitary waves

Author(s): Jon Asier Bárcena-Petisco, Sergio Guerrero, Ademir F. Pazoto
Published in: Communications in Contemporary Mathematics, 2021, Page(s) 2150003, ISSN 0219-1997
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0219199721500036

Neural ODE Control for Classification, Approximation and Transport (2022). SIAM Review

Author(s): Domènec Ruiz-Balet, Enrique Zuazua
Published in: SIAM Review, 2022, ISSN 0036-1445
Publisher: Society for Industrial and Applied Mathematics

Internal control for a non-local Schrödinger equation involving the fractional Laplace operator

Author(s): Umberto Biccari
Published in: Evolution Equations and Control Theory, 2021, ISSN 2163-2480
Publisher: American Institute of Mathematical Sciences

Null-controllability of perturbed porous medium gas flow

Author(s): Borjan Geshkovski
Published in: ESAIM: Control, Optimisation and Calculus of Variations, Issue 26, 2020, Page(s) 85, ISSN 1292-8119
Publisher: EDP Sciences
DOI: 10.1051/cocv/2020009

Existence and uniqueness of maximal strong solution of a 1D blood flow in a network of vessels

Author(s): Debayan Maity; Jean-Pierre Raymond; Arnab Roy
Published in: Nonlinear Analysis: Real World Applications, Issue 14681218, 2022, Page(s) 103405, ISSN 1468-1218
Publisher: Elsevier BV
DOI: 10.1016/j.nonrwa.2021.103405

Sidewise control of 1-d waves.

Author(s): Yesim Sarac, Enrique Zuazua
Published in: Journal of Optimization Theory and Applications, Issue 00223239, 2022, ISSN 0022-3239
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10957-021-01986-w

Quantitative Stability for Eigenvalues of Schrödinger Operator, Quantitative Bathtub Principle, and Application to the Turnpike Property for a Bilinear Optimal Control Problem

Author(s): Idriss Mazari; Domènec Ruiz-Balet
Published in: SIAM Journal on Mathematical Analysis, Issue 00361410, 2022, Page(s) 3848-3883., ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/21m1393121

Turnpike in Optimal Control PDES, ResNets and beyond

Author(s): Borjan Geshkovski, Enrique Zuazua
Published in: Acta Numerica, Issue 31, 2022, Page(s) 135-263, ISSN 0962-4929
Publisher: Cambridge University Press

Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations

Author(s): Domènec Ruiz-Balet, Enrique Zuazua
Published in: Journal de Mathématiques Pures et Appliquées, Issue 143, 2020, Page(s) 345-375, ISSN 0021-7824
Publisher: Elsevier BV
DOI: 10.1016/j.matpur.2020.08.006

Interpolation and approximation via Momentum ResNets and Neural ODEs

Author(s): Domènec Ruiz-Balet, Elisa Affili, Enrique Zuazua.
Published in: IEEE Control Systems Letters, Issue 24751456, 2022, ISSN 2475-1456
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1016/j.sysconle.2022.105182

Linear projection-based CEST parameter estimation

Author(s): Felix Glang, Moritz S. Fabian, Alexander German, Katrin M. Khakzar, Angelika Mennecke, Andrzej Liebert, Kai Herz, Patrick Liebig, Burkhard S. Kasper, Manuel Schmidt, Enrique Zuazua, Armin M. Nagel, Frederik B. Laun, Arnd Dörfler, Klaus Scheffler, Moritz Zaiss
Published in: NMR in Biomedicine, 2022, ISSN 1099-1492
Publisher: John Wiley & Sons Ltd

Controllability of a Class of Infinite Dimensional Systems With Age Structure.

Author(s): Debayan Maity, Marius Tucsnak, Enrique Zuazua
Published in: Control and Cybernetics, Issue 48/2, 2021, ISSN 0324-8569
Publisher: Polish Academy of Sciences

The Inverse Problem for Hamilton--Jacobi Equations and Semiconcave Envelopes

Author(s): Carlos Esteve, Enrique Zuazua
Published in: SIAM Journal on Mathematical Analysis, Issue 52/6, 2020, Page(s) 5627-5657, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1330130

Optimal distributed control of linear parabolic equations by spectral decomposition

Author(s): Martin Lazar; Cesare Molinari
Published in: Optimal Control Applications and Methods, Issue 10991514, 2021, Page(s) 891-926, ISSN 1099-1514
Publisher: John Wiley & Sons Ltd
DOI: 10.1002/oca.2708

Propagation of One- and Two-Dimensional Discrete Waves Under Finite Difference Approximation

Author(s): Umberto Biccari, Aurora Marica, Enrique Zuazua
Published in: Foundations of Computational Mathematics, Issue 20/6, 2020, Page(s) 1401-1438, ISSN 1615-3375
Publisher: Springer Verlag
DOI: 10.1007/s10208-020-09445-0

A multiscale model for traffic regulation via autonomous vehicles

Author(s): Mauro Garavello, Paola Goatin, Thibault Liard, Benedetto Piccoli
Published in: Journal of Differential Equations, Issue 269/7, 2020, Page(s) 6088-6124, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2020.04.031

Greedy algorithm for parameter dependent operator Lyapunov equations

Author(s): Martin Lazar; Jerome Weston
Published in: Systems & Control Letters, Issue 01676911, 2021, Page(s) 104968, ISSN 0167-6911
Publisher: Elsevier BV
DOI: 10.1016/j.sysconle.2021.104968

Steady-State and Periodic Exponential Turnpike Property for Optimal Control Problems in Hilbert Spaces

Author(s): Emmanuel Trélat, Can Zhang, Enrique Zuazua
Published in: SIAM Journal on Control and Optimization, Issue 56/2, 2018, Page(s) 1222-1252, ISSN 0363-0129
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/16M1097638

Local Elliptic Regularity for the Dirichlet Fractional Laplacian

Author(s): Umberto Biccari, Mahamadi Warma, Enrique Zuazua
Published in: Advanced Nonlinear Studies, Issue 17/2, 2017, ISSN 1536-1365
Publisher: UTHSCSA Press
DOI: 10.1515/ans-2017-0014

Actuator Design for Parabolic Distributed Parameter Systems with the Moment Method

Author(s): Yannick Privat, Emmanuel Trélat, Enrique Zuazua
Published in: SIAM Journal on Control and Optimization, Issue 55/2, 2017, Page(s) 1128-1152, ISSN 0363-0129
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/16M1058418

Minimal controllability time for the heat equation under unilateral state or control constraints

Author(s): Jérôme Lohéac, Emmanuel Trélat, Enrique Zuazua
Published in: Mathematical Models and Methods in Applied Sciences, Issue 27/09, 2017, Page(s) 1587-1644, ISSN 0218-2025
Publisher: World Scientific Publishing Co
DOI: 10.1142/S0218202517500270

Decay rates for elastic-thermoelastic star-shaped networks

Author(s): Zhong-Jie Han, Enrique Zuazua
Published in: Networks and Heterogeneous Media, Issue 12/3, 2017, Page(s) 461-488, ISSN 1556-1801
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/nhm.2017020

Controllability of Evolution Equations with Memory

Author(s): Felipe W. Chaves-Silva, Xu Zhang, Enrique Zuazua
Published in: SIAM Journal on Control and Optimization, Issue 55/4, 2017, Page(s) 2437-2459, ISSN 0363-0129
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/151004239

Averaged controllability of parameter dependent conservative semigroups

Author(s): Jérôme Lohéac, Enrique Zuazua
Published in: Journal of Differential Equations, Issue 262/3, 2017, Page(s) 1540-1574, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2016.10.017

Large time control and turnpike properties for wave equations

Author(s): Enrique Zuazua
Published in: Annual Reviews in Control, Issue 44, 2017, Page(s) 199-210, ISSN 1367-5788
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.arcontrol.2017.04.002

Lipschitz dependence of the coefficients on the resolvent and greedy approximation for scalar elliptic problems

Author(s): Mourad Choulli, Enrique Zuazua
Published in: Comptes Rendus Mathematique, Issue 354/12, 2016, Page(s) 1174-1187, ISSN 1631-073X
Publisher: Elsevier Masson
DOI: 10.1016/j.crma.2016.10.017

Null-controllability properties of the wave equation with a second order memory term

Author(s): Umberto Biccari, Sorin Micu
Published in: Journal of Differential Equations, Issue 267/2, 2019, Page(s) 1376-1422, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2019.02.009

Dynamics and control for multi-agent networked systems: A finite-difference approach

Author(s): Umberto Biccari, Dongnam Ko, Enrique Zuazua
Published in: Mathematical Models and Methods in Applied Sciences, Issue 29/04, 2019, Page(s) 755-790, ISSN 0218-2025
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0218202519400050

Phase portrait control for 1D monostable and bistable reaction–diffusion equations

Author(s): Camille Pouchol, Emmanuel Trélat, Enrique Zuazua
Published in: Nonlinearity, Issue 32/3, 2019, Page(s) 884-909, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/aaf07e

Internal Observability for Coupled Systems of Linear Partial Differential Equations

Author(s): Pierre Lissy, Enrique Zuazua
Published in: SIAM Journal on Control and Optimization, Issue 57/2, 2019, Page(s) 832-853, ISSN 0363-0129
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/17m1119160

A Two-Dimensional “Flea on the Elephant” Phenomenon and its Numerical Visualization

Author(s): Roberta Bianchini, Laurent Gosse, Enrique Zuazua
Published in: Multiscale Modeling & Simulation, Issue 17/1, 2019, Page(s) 137-166, ISSN 1540-3459
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/18m1179985

Greedy optimal control for elliptic problems and its application to turnpike problems

Author(s): Víctor Hernández-Santamaría, Martin Lazar, Enrique Zuazua
Published in: Numerische Mathematik, Issue 141/2, 2019, Page(s) 455-493, ISSN 0029-599X
Publisher: Springer Verlag
DOI: 10.1007/s00211-018-1005-z

Controllability and positivity constraints in population dynamics with age structuring and diffusion

Author(s): Debayan Maity, Marius Tucsnak, Enrique Zuazua
Published in: Journal de Mathématiques Pures et Appliquées, 2018, ISSN 0021-7824
Publisher: Elsevier BV
DOI: 10.1016/j.matpur.2018.12.006

Minimal controllability time for finite-dimensional control systems under state constraints

Author(s): Jérôme Lohéac, Emmanuel Trélat, Enrique Zuazua
Published in: Automatica, Issue 96, 2018, Page(s) 380-392, ISSN 0005-1098
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.automatica.2018.07.010

Boundary controllability for a one-dimensional heat equation with a singular inverse-square potential

Author(s): Umberto Biccari
Published in: Mathematical Control & Related Fields, Issue 9/1, 2019, Page(s) 191-219, ISSN 2156-8499
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/mcrf.2019011

Allee optimal control of a system in ecology

Author(s): Emmanuel Trélat, Jiamin Zhu, Enrique Zuazua
Published in: Mathematical Models and Methods in Applied Sciences, Issue 28/09, 2018, Page(s) 1665-1697, ISSN 0218-2025
Publisher: World Scientific Publishing Co
DOI: 10.1142/s021820251840002x

Controllability under positivity constraints of semilinear heat equations

Author(s): Dario Pighin, Enrique Zuazua
Published in: Mathematical Control & Related Fields, Issue 8/3, 2018, Page(s) 935-964, ISSN 2156-8499
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/mcrf.2018041

Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions

Author(s): Yannick Privat, Emmanuel Trélat, Enrique Zuazua
Published in: Calculus of Variations and Partial Differential Equations, Issue 58/2, 2019, ISSN 0944-2669
Publisher: Springer Verlag
DOI: 10.1007/s00526-019-1522-3

Analysis of random non-autonomous logistic-type differential equations via the Karhunen–Loève expansion and the Random Variable Transformation technique

Author(s): J.-C. Cortés, A. Navarro-Quiles, J.-V. Romero, M.-D. Roselló
Published in: Communications in Nonlinear Science and Numerical Simulation, Issue 72, 2019, Page(s) 121-138, ISSN 1007-5704
Publisher: Elsevier BV
DOI: 10.1016/j.cnsns.2018.12.013

(CMMSE2018 paper) Solving the random Pielou logistic equation with the random variable transformation technique: Theory and applications

Author(s): Juan Carlos Cortés, Ana Navarro-Quiles, José-Vicente Romero, María-Dolores Roselló
Published in: Mathematical Methods in the Applied Sciences, 2019, ISSN 0170-4214
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/mma.5440

A probabilistic analysis of a Beverton-Holt-type discrete model: Theoretical and computing analysis

Author(s): J.-C. Cortés, A. Navarro-Quiles, J.-V. Romero, M.-D. Roselló
Published in: Computational and Mathematical Methods, Issue 1/1, 2019, Page(s) e1013, ISSN 2577-7408
Publisher: Wiley
DOI: 10.1002/cmm4.1013

The Poisson equation from non-local to local

Author(s): Umberto Biccari and Víctor Hernández-Santamaría
Published in: Electronic Journal of Differential Equations, Issue 145, 2018, Page(s) 1-13, ISSN 1072-6691
Publisher: Texas State University - San Marcos

Addendum: Local Elliptic Regularity for the Dirichlet Fractional Laplacian

Author(s): Umberto Biccari, Mahamadi Warma, Enrique Zuazua
Published in: Advanced Nonlinear Studies, Issue 17/4, 2017, ISSN 1536-1365
Publisher: UTHSCSA Press
DOI: 10.1515/ans-2017-6020

From averaged to simultaneous controllability

Author(s): Jérôme Lohéac, Enrique Zuazua
Published in: Annales de la faculté des sciences de Toulouse Mathématiques, Issue 25/4, 2016, Page(s) 785-828, ISSN 0240-2963
Publisher: University of Tolouse
DOI: 10.5802/afst.1511

Optimal shape design for 2D heat equations in large time

Author(s): Emmanuel Trélat, Can Zhang and Enrique Zuazua
Published in: J. Appl. Funct. Anal., Issue 3, 2018, Page(s) 255-269, ISSN 2189-3764
Publisher: Yokohama publishers

Null Controllability of Linear and Semilinear Nonlocal Heat Equations with an Additive Integral Kernel

Author(s): Umberto Biccari, Víctor Hernández-Santamaría
Published in: SIAM Journal on Control and Optimization, Issue 57/4, 2019, Page(s) 2924-2938, ISSN 0363-0129
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/18m1218431

Adjoint computational methods for 2D inverse design of linear transport equations on unstructured grids

Author(s): M. Morales-Hernández, E. Zuazua
Published in: Computational and Applied Mathematics, Issue 38/4, 2019, ISSN 2238-3603
Publisher: Springer
DOI: 10.1007/s40314-019-0935-0

Null controllability for wave equations with memory

Author(s): Qi Lü, Xu Zhang, Enrique Zuazua
Published in: Journal de Mathématiques Pures et Appliquées, Issue 108/4, 2017, Page(s) 500-531, ISSN 0021-7824
Publisher: Elsevier BV
DOI: 10.1016/j.matpur.2017.05.001

Internal Controllability for Parabolic Systems Involving Analytic Non-local Terms

Author(s): Pierre Lissy, Enrique Zuazua
Published in: Chinese Annals of Mathematics, Series B, Issue 39/2, 2018, Page(s) 281-296, ISSN 0252-9599
Publisher: World Scientific Publishing Co
DOI: 10.1007/s11401-018-1064-6

Decay rates for $1-d$ heat-wave planar networks

Author(s): Zhong-Jie Han, Enrique Zuazua
Published in: Networks and Heterogeneous Media, Issue 11/4, 2016, Page(s) 655-692, ISSN 1556-1801
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/nhm.2016013

Flocking Behaviors of a Cucker--Smale Ensemble in a Cylindrical Domain

Author(s): Hyeong-Ohk Bae, Seung-Yeal Ha, Jeongho Kim, Dongnam Ko, Sung-Ik Sohn
Published in: SIAM Journal on Mathematical Analysis, Issue 51/3, 2019, Page(s) 2390-2424, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/18m122025x

A Stochastic Approach to the Synchronization of Coupled Oscillators

Author(s): Umberto Biccari, Enrique Zuazua
Published in: Frontiers in Energy Research, Issue 8, 2020, ISSN 2296-598X
Publisher: Frontiers
DOI: 10.3389/fenrg.2020.00115

Nonnegative control of finite-dimensional linear systems

Author(s): Jérôme Lohéac, Emmanuel Trélat, Enrique Zuazua
Published in: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2020, ISSN 0294-1449
Publisher: Elsevier BV
DOI: 10.1016/j.anihpc.2020.07.004

Output controllability in a long-time horizon

Author(s): Martin Lazar, Jérôme Lohéac
Published in: Automatica, Issue 113, 2020, Page(s) 108762, ISSN 0005-1098
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.automatica.2019.108762

Null-controllability properties of a fractional wave equation with a memory term

Author(s): Umberto Biccari, Mahamadi Warma
Published in: Evolution Equations & Control Theory, Issue 9/2, 2020, Page(s) 399-430, ISSN 2163-2480
Publisher: AIMS
DOI: 10.3934/eect.2020011

Shape turnpike for linear parabolic PDE models

Author(s): Gontran Lance, Emmanuel Trélat, Enrique Zuazua
Published in: Systems & Control Letters, Issue 142, 2020, Page(s) 104733, ISSN 0167-6911
Publisher: Elsevier BV
DOI: 10.1016/j.sysconle.2020.104733

Turnpike in optimal shape design

Author(s): G. Lance, E. Trélat, E. Zuazua
Published in: IFAC-PapersOnLine, Issue 52/16, 2019, Page(s) 496-501, ISSN 2405-8963
Publisher: Elsevier
DOI: 10.1016/j.ifacol.2019.12.010

Asymptotic behavior and control of a “guidance by repulsion” model

Author(s): Dongnam Ko, Enrique Zuazua
Published in: Mathematical Models and Methods in Applied Sciences, Issue 30/04, 2020, Page(s) 765-804, ISSN 0218-2025
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0218202520400047

Stochastic persistency of nematic alignment state for the Justh–Krishnaprasad model with additive white noises

Author(s): Seung-Yeal Ha, Dongnam Ko, Woojoo Shim, Hui Yu
Published in: Mathematical Models and Methods in Applied Sciences, Issue 30/04, 2020, Page(s) 727-763, ISSN 0218-2025
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0218202520400035

Emergent collective behaviors of stochastic kuramoto oscillators

Author(s): Seung-Yeal Ha, Dongnam Ko, Chanho Min, Xiongtao Zhang
Published in: Discrete & Continuous Dynamical Systems - B, Issue 25/3, 2020, Page(s) 1059-1081, ISSN 1553-524X
Publisher: AIMS
DOI: 10.3934/dcdsb.2019208

Existence and cost of boundary controls for a degenerate/singular parabolic equation

Author(s): Umberto Biccari, Víctor Hernández-Santamaría, Judith Vancostenoble
Published in: Mathematical Control and Related Fields, 2021, ISSN 2156-8472
Publisher: American Institute of Mathematical Sciences

Greedy search of optimal approximate solutions (2022)

Author(s): Martin Lazar, Enrique Zuazua.
Published in: Communications in Optimization Theory, 2022, ISSN 2051-2953
Publisher: Mathematical Research Press

Classical system theory revisited for Turnpike in standard state space systems and impulse controllable descriptor systems

Author(s): Jan Heiland, Enrique Zuazua
Published in: SIAM Journal on Control and Optimization, Issue 03630129, 2021, Page(s) 3600-3624, ISSN 0363-0129
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1356105

Rotor imbalance suppression by optimal control

Author(s): Matteo Gnuffi; Dario Pighin; Noboru Sakamoto
Published in: Optimal Control Applications and Methods, Issue 10991514, 2022, Page(s) 213-242, ISSN 1099-1514
Publisher: John Wiley & Sons Ltd
DOI: 10.1002/oca.2780

Full probabilistic solution of a finite dimensional linear control system with random initial and final conditions

Author(s): J.-C. Cortés, A. Navarro-Quiles, J.-V. Romero, M.-D. Roselló, Enrique Zuazua
Published in: Journal of the Franklin Institute, Issue 357/12, 2020, Page(s) 8156-8180, ISSN 0016-0032
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.jfranklin.2020.06.005

Sparse source identification of linear diffusion–advection equations by adjoint methods

Author(s): Azahar Monge, Enrique Zuazua
Published in: Systems & Control Letters, Issue 145, 2020, Page(s) 104801, ISSN 0167-6911
Publisher: Elsevier BV
DOI: 10.1016/j.sysconle.2020.104801

The turnpike property and the long-time behavior of the Hamilton-Jacobi-Bellman equation for finite-dimensional LQ control problems

Author(s): Carlos Esteve, Hicham Kouhkouh, Dario Pighin, Enrique Zuazua.
Published in: Mathematics of Control Signals and Systems, Issue 09324194, 2022, ISSN 0932-4194
Publisher: Springer Verlag
DOI: 10.1007/s00498-022-00325-2

Nonuniqueness of minimizers for semilinear optimal control problems

Author(s): Dario Pighin
Published in: Journal of the European Mathematical Society, 2021, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House

Initial data identification for the one-dimensional Burgers equation

Author(s): Thibault Liard, Enrique Zuazua
Published in: IEEE Transactions on Automatic Control, Issue 67/6, 2022, Page(s) 3098-3104, ISSN 0018-9286
Publisher: Institute of Electrical and Electronics Engineers

Controllability of a one-dimensional fractional heat equation: theoretical and numerical aspects

Author(s): Umberto Biccari, Víctor Hernández-Santamaría
Published in: IMA Journal of Mathematical Control and Information, Issue 36/4, 2018, Page(s) 1199-1235, ISSN 0265-0754
Publisher: Oxford University Press
DOI: 10.1093/imamci/dny025

Null Controllability of a nonlinear age, space and two-sex structured population dynamics model

Author(s): Yacouba Simporé; Oumar Traore
Published in: Mathematical Control and Related Fields, Issue 21568472, 2021, ISSN 2156-8472
Publisher: American Institute of Mathematical Sciences
DOI: 10.48550/arxiv.2009.04351

Optimal actuator design via Brunovsky’s normal form

Author(s): Borjan Geshkovski, Enrique Zuazua
Published in: IEEE Transactions on Automatic Control, 2022, ISSN 0018-9286
Publisher: Institute of Electrical and Electronics Engineers

The turnpike property in semilinear control

Author(s): Dario Pighin
Published in: ESAIM Control Optimization and Calculus of Variations, 2021, ISSN 1292-8119
Publisher: EDP Sciences

Constrained control of gene-flow models

Author(s): Idriss Mazari, Domènec Ruiz-Balet, Enrique Zuazua
Published in: Annales de l'Institut Henri Poincaré Analise Non Linéaire, 2022, ISSN 0294-1449
Publisher: Elsevier BV

Nonuniqueness of minimizers for semilinear optimal control problems

Author(s): Dario Pighin
Published in: Journal of the European Mathematical Society, Issue 14359855, 2022, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/jems/1232

Flow decomposition for heat equations with memory

Author(s): Wang, Gengsheng; Zhang, Yubiao; Zuazua, Enrique
Published in: Journal de Mathématiques Pures et Appliquées, Issue 00217824, 2022, Page(s) 183-215, ISSN 0021-7824
Publisher: Elsevier BV
DOI: 10.48550/arxiv.2101.09867

A Fragmentation Phenomenon for a Nonenergetic Optimal Control Problem: Optimization of the Total Population Size in Logistic Diffusive Models

Author(s): Idriss Mazari, Domènec Ruiz-Balet
Published in: SIAM Journal on Applied Mathematics, Issue 81/1, 2021, Page(s) 153-172, ISSN 0036-1399
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m132818x

Model predictive control with random batch methods for a guiding problem

Author(s): Dongnam Ko, Enrique Zuazua
Published in: Mathematical Models and Methods in the Applied Sciences, 2021, ISSN 0218-2025
Publisher: World Scientific Publishing Co

Controllability of shadow reaction-diffusion systems

Author(s): Víctor Hernández-Santamaría, Enrique Zuazua
Published in: Journal of Differential Equations, Issue 268/7, 2020, Page(s) 3781-3818, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2019.10.012

Controllability of One-Dimensional Viscous Free Boundary Flows

Author(s): Borjan Geshkovski, Enrique Zuazua
Published in: SIAM Journal on Control and Optimization, Issue 59/3, 2021, Page(s) 1830-1850, ISSN 0363-0129
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/19m1285354

Control and Numerical approximation of Fractional Diffusion Equations

Author(s): Umberto Biccari, Mahamadi Warma, Enrique Zuazua
Published in: Handbok of Numerical Analysis, 2022, ISBN 9780323853392
Publisher: Elsevier
DOI: 10.1016/bs.hna.2021.12.001

Controllability Under Positivity Constraints of Multi-d Wave Equations

Author(s): Dario Pighin, Enrique Zuazua
Published in: Trends in Control Theory and Partial Differential Equations, Issue 32, 2019, Page(s) 195-232, ISBN 978-3-030-17948-9
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-17949-6_11

The finite-time turnpike phenomenon for optimal control problems: stabilization by non-smooth tracking terms

Author(s): M. Gugat, M. Schuster and E. Zuazua.
Published in: Stabilization of Distributed Parameter Systems: Design Methods and Applications, ICIAM 2019 SEMA SIMAI Springer Series, Issue 2, 2021, Page(s) 17-42, ISSN 2199-3041
Publisher: Springer

Local Regularity for Fractional Heat Equations

Author(s): Umberto Biccari, Mahamadi Warma, Enrique Zuazua
Published in: Recent Advances in PDEs: Analysis, Numerics and Control - In Honor of Prof. Fernández-Cara's 60th Birthday, Issue 17, 2018, Page(s) 233-249, ISBN 978-3-319-97612-9
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-97613-6_12

Filtered Gradient Algorithms for Inverse Design Problems of One-Dimensional Burgers Equation

Author(s): Laurent Gosse, Enrique Zuazua
Published in: Innovative Algorithms and Analysis, Issue 16, 2017, Page(s) 197-227, ISBN 978-3-319-49261-2
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-49262-9_7

A Parabolic Approach to the Control of Opinion Spreading

Author(s): Domènec Ruiz-Balet, Enrique Zuazua
Published in: Applied Wave Mathematics II - Selected Topics in Solids, Fluids, and Mathematical Methods and Complexity, Issue 6, 2019, Page(s) 343-363, ISBN 978-3-030-29950-7
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-29951-4_15

Averaged controllability in a long time horizon

Author(s): M. Lazar, J. Lohéac
Published in: Ninth Conference on Applied Mathematics and Scientific Computing, 2018
Publisher: Crosbi

Multilevel selective harmonic modulation by duality

Author(s): Umberto Biccari, Enrique Zuazua
Published in: IFAC-PapersOnLine, Issue 24058963, 2022, Page(s) 56-61, ISSN 2405-8963
Publisher: Elsevier
DOI: 10.1016/j.ifacol.2022.08.081

Optimal driving strategies for traffic control with autonomous vehicles

Author(s): Thibault Liard; Raphael Stern; Maria Laura Delle Monache
Published in: IFAC-PapersOnLine, 2020, Page(s) 5332-5329
Publisher: Elsevier
DOI: 10.1016/j.ifacol.2020.12.1219

The turnpike property in nonlinear optimal control — A geometric approach

Author(s): Noboru Sakamoto, Dario Pighin, Enrique Zuazua
Published in: 2019 IEEE 58th Conference on Decision and Control (CDC), 2019, Page(s) 2422-2427, ISBN 978-1-7281-1398-2
Publisher: IEEE
DOI: 10.1109/cdc40024.2019.9028863

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