Dynamic Control and Numerics of Partial Differential Equations

Publicaciones

Averaged dynamics and control for heat equations with random diffusion

Autores: Jon Asier Bárcena Petisco, Enrique Zuazua
Publicado en: Systems & Control Letters, Edición 01676911, 2021, Página(s) 105055, ISSN 0167-6911
Editor: 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

Autores: Tomás Caraballo, J.-C. Cortés, A. Navarro-Quiles
Publicado en: Applied Mathematics and Computation, Edición 356, 2019, Página(s) 198-218, ISSN 0096-3003
Editor: Elsevier BV
DOI: 10.1016/j.amc.2019.03.048

Turnpike in Lipschitz-nonlinear optimal control

Autores: Carlos Esteve, B. Geshkovski, Dario Pighin, Enrique Zuazua
Publicado en: Nonlinearity, Edición 09517715, 2022, Página(s) 1652-1701, ISSN 0951-7715
Editor: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ac4e61

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

Autores: Umberto Biccari, Mahamadi Warma, Enrique Zuazua
Publicado en: Communications on Pure & Applied Analysis, Edición 19/4, 2020, Página(s) 1949-1978, ISSN 1534-0392
Editor: American Institute of Mathematical Sciences
DOI: 10.3934/cpaa.2020086

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

Autores: Daniël Veldman, Enrique Zuazua
Publicado en: Numerische Mathematik, Edición 0029599X, 2022, Página(s) 495-549, ISSN 0029-599X
Editor: Springer Verlag
DOI: 10.1007/s00211-022-01290-3

Control of reaction-diffusion models in biology and social sciences

Autores: Domènec Ruiz-Balet, Enrique Zuazua
Publicado en: Mathematical Control and Related Fields, 2022, ISSN 2156-8472
Editor: American Institute of Mathematical Sciences

Multilevel Selective Harmonic Modulation via Optimal Control

Autores: Umberto Biccari, Carlos Esteve-Yagüe, Deyviss Jesús Oroya-Villalta
Publicado en: Applied Mathematics & Optimization, 2022, ISSN 0095-4616
Editor: Springer Verlag

Slow decay and turnpike for infinite-horizon hyperbolic LQ problems

Autores: Han, Zhong-Jie; Zuazua, Enrique
Publicado en: SIAM Journal on Control and Optimization, Edición 03630129, 2022, Página(s) 2440-2468, ISSN 0363-0129
Editor: Society for Industrial and Applied Mathematics
DOI: 10.48550/arxiv.2108.10240

Numerical hypocoercivity for the Kolmogorov equation

Autores: Alessio Porretta, Enrique Zuazua
Publicado en: Mathematics of Computation, Edición 86/303, 2017, Página(s) 97-119, ISSN 0025-5718
Editor: American Mathematical Society
DOI: 10.1090/mcom/3157

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

Autores: Shi Jin, Yuhua Zhu, Enrique Zuazua
Publicado en: Numerische Mathematics, Edición 0029599X, 2022, Página(s) 479-519, ISSN 0029-599X
Editor: Springer Verlag
DOI: 10.1007/s00211-021-01257-w

On coupling kinetic and Schrödinger equations

Autores: Avy Soffer, Minh-Binh Tran
Publicado en: Journal of Differential Equations, Edición 265/5, 2018, Página(s) 2243-2279, ISSN 0022-0396
Editor: Academic Press
DOI: 10.1016/j.jde.2018.04.031

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

Autores: Jon Asier Bárcena-Petisco, Sergio Guerrero, Ademir F. Pazoto
Publicado en: Communications in Contemporary Mathematics, 2021, Página(s) 2150003, ISSN 0219-1997
Editor: World Scientific Publishing Co
DOI: 10.1142/s0219199721500036

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

Autores: Domènec Ruiz-Balet, Enrique Zuazua
Publicado en: SIAM Review, 2022, ISSN 0036-1445
Editor: Society for Industrial and Applied Mathematics

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

Autores: Umberto Biccari
Publicado en: Evolution Equations and Control Theory, 2021, ISSN 2163-2480
Editor: American Institute of Mathematical Sciences

Null-controllability of perturbed porous medium gas flow

Autores: Borjan Geshkovski
Publicado en: ESAIM: Control, Optimisation and Calculus of Variations, Edición 26, 2020, Página(s) 85, ISSN 1292-8119
Editor: EDP Sciences
DOI: 10.1051/cocv/2020009

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

Autores: Debayan Maity; Jean-Pierre Raymond; Arnab Roy
Publicado en: Nonlinear Analysis: Real World Applications, Edición 14681218, 2022, Página(s) 103405, ISSN 1468-1218
Editor: Elsevier BV
DOI: 10.1016/j.nonrwa.2021.103405

Sidewise control of 1-d waves.

Autores: Yesim Sarac, Enrique Zuazua
Publicado en: Journal of Optimization Theory and Applications, Edición 00223239, 2022, ISSN 0022-3239
Editor: 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

Autores: Idriss Mazari; Domènec Ruiz-Balet
Publicado en: SIAM Journal on Mathematical Analysis, Edición 00361410, 2022, Página(s) 3848-3883., ISSN 0036-1410
Editor: Society for Industrial and Applied Mathematics
DOI: 10.1137/21m1393121

Turnpike in Optimal Control PDES, ResNets and beyond

Autores: Borjan Geshkovski, Enrique Zuazua
Publicado en: Acta Numerica, Edición 31, 2022, Página(s) 135-263, ISSN 0962-4929
Editor: Cambridge University Press

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

Autores: Domènec Ruiz-Balet, Enrique Zuazua
Publicado en: Journal de Mathématiques Pures et Appliquées, Edición 143, 2020, Página(s) 345-375, ISSN 0021-7824
Editor: Elsevier BV
DOI: 10.1016/j.matpur.2020.08.006

Interpolation and approximation via Momentum ResNets and Neural ODEs

Autores: Domènec Ruiz-Balet, Elisa Affili, Enrique Zuazua.
Publicado en: IEEE Control Systems Letters, Edición 24751456, 2022, ISSN 2475-1456
Editor: Institute of Electrical and Electronics Engineers
DOI: 10.1016/j.sysconle.2022.105182

Linear projection-based CEST parameter estimation

Autores: 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
Publicado en: NMR in Biomedicine, 2022, ISSN 1099-1492
Editor: John Wiley & Sons Ltd

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

Autores: Debayan Maity, Marius Tucsnak, Enrique Zuazua
Publicado en: Control and Cybernetics, Edición 48/2, 2021, ISSN 0324-8569
Editor: Polish Academy of Sciences

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

Autores: Carlos Esteve, Enrique Zuazua
Publicado en: SIAM Journal on Mathematical Analysis, Edición 52/6, 2020, Página(s) 5627-5657, ISSN 0036-1410
Editor: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1330130

Optimal distributed control of linear parabolic equations by spectral decomposition

Autores: Martin Lazar; Cesare Molinari
Publicado en: Optimal Control Applications and Methods, Edición 10991514, 2021, Página(s) 891-926, ISSN 1099-1514
Editor: John Wiley & Sons Ltd
DOI: 10.1002/oca.2708

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

Autores: Umberto Biccari, Aurora Marica, Enrique Zuazua
Publicado en: Foundations of Computational Mathematics, Edición 20/6, 2020, Página(s) 1401-1438, ISSN 1615-3375
Editor: Springer Verlag
DOI: 10.1007/s10208-020-09445-0

A multiscale model for traffic regulation via autonomous vehicles

Autores: Mauro Garavello, Paola Goatin, Thibault Liard, Benedetto Piccoli
Publicado en: Journal of Differential Equations, Edición 269/7, 2020, Página(s) 6088-6124, ISSN 0022-0396
Editor: Academic Press
DOI: 10.1016/j.jde.2020.04.031

Greedy algorithm for parameter dependent operator Lyapunov equations

Autores: Martin Lazar; Jerome Weston
Publicado en: Systems & Control Letters, Edición 01676911, 2021, Página(s) 104968, ISSN 0167-6911
Editor: Elsevier BV
DOI: 10.1016/j.sysconle.2021.104968

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

Autores: Emmanuel Trélat, Can Zhang, Enrique Zuazua
Publicado en: SIAM Journal on Control and Optimization, Edición 56/2, 2018, Página(s) 1222-1252, ISSN 0363-0129
Editor: Society for Industrial and Applied Mathematics
DOI: 10.1137/16M1097638

Local Elliptic Regularity for the Dirichlet Fractional Laplacian

Autores: Umberto Biccari, Mahamadi Warma, Enrique Zuazua
Publicado en: Advanced Nonlinear Studies, Edición 17/2, 2017, ISSN 1536-1365
Editor: UTHSCSA Press
DOI: 10.1515/ans-2017-0014

Actuator Design for Parabolic Distributed Parameter Systems with the Moment Method

Autores: Yannick Privat, Emmanuel Trélat, Enrique Zuazua
Publicado en: SIAM Journal on Control and Optimization, Edición 55/2, 2017, Página(s) 1128-1152, ISSN 0363-0129
Editor: Society for Industrial and Applied Mathematics
DOI: 10.1137/16M1058418

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

Autores: Jérôme Lohéac, Emmanuel Trélat, Enrique Zuazua
Publicado en: Mathematical Models and Methods in Applied Sciences, Edición 27/09, 2017, Página(s) 1587-1644, ISSN 0218-2025
Editor: World Scientific Publishing Co
DOI: 10.1142/S0218202517500270

Decay rates for elastic-thermoelastic star-shaped networks

Autores: Zhong-Jie Han, Enrique Zuazua
Publicado en: Networks and Heterogeneous Media, Edición 12/3, 2017, Página(s) 461-488, ISSN 1556-1801
Editor: American Institute of Mathematical Sciences
DOI: 10.3934/nhm.2017020

Controllability of Evolution Equations with Memory

Autores: Felipe W. Chaves-Silva, Xu Zhang, Enrique Zuazua
Publicado en: SIAM Journal on Control and Optimization, Edición 55/4, 2017, Página(s) 2437-2459, ISSN 0363-0129
Editor: Society for Industrial and Applied Mathematics
DOI: 10.1137/151004239

Averaged controllability of parameter dependent conservative semigroups

Autores: Jérôme Lohéac, Enrique Zuazua
Publicado en: Journal of Differential Equations, Edición 262/3, 2017, Página(s) 1540-1574, ISSN 0022-0396
Editor: Academic Press
DOI: 10.1016/j.jde.2016.10.017

Large time control and turnpike properties for wave equations

Autores: Enrique Zuazua
Publicado en: Annual Reviews in Control, Edición 44, 2017, Página(s) 199-210, ISSN 1367-5788
Editor: 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

Autores: Mourad Choulli, Enrique Zuazua
Publicado en: Comptes Rendus Mathematique, Edición 354/12, 2016, Página(s) 1174-1187, ISSN 1631-073X
Editor: Elsevier Masson
DOI: 10.1016/j.crma.2016.10.017

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

Autores: Umberto Biccari, Sorin Micu
Publicado en: Journal of Differential Equations, Edición 267/2, 2019, Página(s) 1376-1422, ISSN 0022-0396
Editor: Academic Press
DOI: 10.1016/j.jde.2019.02.009

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

Autores: Umberto Biccari, Dongnam Ko, Enrique Zuazua
Publicado en: Mathematical Models and Methods in Applied Sciences, Edición 29/04, 2019, Página(s) 755-790, ISSN 0218-2025
Editor: World Scientific Publishing Co
DOI: 10.1142/s0218202519400050

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

Autores: Camille Pouchol, Emmanuel Trélat, Enrique Zuazua
Publicado en: Nonlinearity, Edición 32/3, 2019, Página(s) 884-909, ISSN 0951-7715
Editor: Institute of Physics Publishing
DOI: 10.1088/1361-6544/aaf07e

Internal Observability for Coupled Systems of Linear Partial Differential Equations

Autores: Pierre Lissy, Enrique Zuazua
Publicado en: SIAM Journal on Control and Optimization, Edición 57/2, 2019, Página(s) 832-853, ISSN 0363-0129
Editor: Society for Industrial and Applied Mathematics
DOI: 10.1137/17m1119160

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

Autores: Roberta Bianchini, Laurent Gosse, Enrique Zuazua
Publicado en: Multiscale Modeling & Simulation, Edición 17/1, 2019, Página(s) 137-166, ISSN 1540-3459
Editor: Society for Industrial and Applied Mathematics
DOI: 10.1137/18m1179985

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

Autores: Víctor Hernández-Santamaría, Martin Lazar, Enrique Zuazua
Publicado en: Numerische Mathematik, Edición 141/2, 2019, Página(s) 455-493, ISSN 0029-599X
Editor: Springer Verlag
DOI: 10.1007/s00211-018-1005-z

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

Autores: Debayan Maity, Marius Tucsnak, Enrique Zuazua
Publicado en: Journal de Mathématiques Pures et Appliquées, 2018, ISSN 0021-7824
Editor: Elsevier BV
DOI: 10.1016/j.matpur.2018.12.006

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

Autores: Jérôme Lohéac, Emmanuel Trélat, Enrique Zuazua
Publicado en: Automatica, Edición 96, 2018, Página(s) 380-392, ISSN 0005-1098
Editor: 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

Autores: Umberto Biccari
Publicado en: Mathematical Control & Related Fields, Edición 9/1, 2019, Página(s) 191-219, ISSN 2156-8499
Editor: American Institute of Mathematical Sciences
DOI: 10.3934/mcrf.2019011

Allee optimal control of a system in ecology

Autores: Emmanuel Trélat, Jiamin Zhu, Enrique Zuazua
Publicado en: Mathematical Models and Methods in Applied Sciences, Edición 28/09, 2018, Página(s) 1665-1697, ISSN 0218-2025
Editor: World Scientific Publishing Co
DOI: 10.1142/s021820251840002x

Controllability under positivity constraints of semilinear heat equations

Autores: Dario Pighin, Enrique Zuazua
Publicado en: Mathematical Control & Related Fields, Edición 8/3, 2018, Página(s) 935-964, ISSN 2156-8499
Editor: American Institute of Mathematical Sciences
DOI: 10.3934/mcrf.2018041

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

Autores: Yannick Privat, Emmanuel Trélat, Enrique Zuazua
Publicado en: Calculus of Variations and Partial Differential Equations, Edición 58/2, 2019, ISSN 0944-2669
Editor: 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

Autores: J.-C. Cortés, A. Navarro-Quiles, J.-V. Romero, M.-D. Roselló
Publicado en: Communications in Nonlinear Science and Numerical Simulation, Edición 72, 2019, Página(s) 121-138, ISSN 1007-5704
Editor: 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

Autores: Juan Carlos Cortés, Ana Navarro-Quiles, José-Vicente Romero, María-Dolores Roselló
Publicado en: Mathematical Methods in the Applied Sciences, 2019, ISSN 0170-4214
Editor: John Wiley & Sons Inc.
DOI: 10.1002/mma.5440

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

Autores: J.-C. Cortés, A. Navarro-Quiles, J.-V. Romero, M.-D. Roselló
Publicado en: Computational and Mathematical Methods, Edición 1/1, 2019, Página(s) e1013, ISSN 2577-7408
Editor: Wiley
DOI: 10.1002/cmm4.1013

The Poisson equation from non-local to local

Autores: Umberto Biccari and Víctor Hernández-Santamaría
Publicado en: Electronic Journal of Differential Equations, Edición 145, 2018, Página(s) 1-13, ISSN 1072-6691
Editor: Texas State University - San Marcos

Addendum: Local Elliptic Regularity for the Dirichlet Fractional Laplacian

Autores: Umberto Biccari, Mahamadi Warma, Enrique Zuazua
Publicado en: Advanced Nonlinear Studies, Edición 17/4, 2017, ISSN 1536-1365
Editor: UTHSCSA Press
DOI: 10.1515/ans-2017-6020

From averaged to simultaneous controllability

Autores: Jérôme Lohéac, Enrique Zuazua
Publicado en: Annales de la faculté des sciences de Toulouse Mathématiques, Edición 25/4, 2016, Página(s) 785-828, ISSN 0240-2963
Editor: University of Tolouse
DOI: 10.5802/afst.1511

Optimal shape design for 2D heat equations in large time

Autores: Emmanuel Trélat, Can Zhang and Enrique Zuazua
Publicado en: J. Appl. Funct. Anal., Edición 3, 2018, Página(s) 255-269, ISSN 2189-3764
Editor: Yokohama publishers

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

Autores: Umberto Biccari, Víctor Hernández-Santamaría
Publicado en: SIAM Journal on Control and Optimization, Edición 57/4, 2019, Página(s) 2924-2938, ISSN 0363-0129
Editor: Society for Industrial and Applied Mathematics
DOI: 10.1137/18m1218431

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

Autores: M. Morales-Hernández, E. Zuazua
Publicado en: Computational and Applied Mathematics, Edición 38/4, 2019, ISSN 2238-3603
Editor: Springer
DOI: 10.1007/s40314-019-0935-0

Null controllability for wave equations with memory

Autores: Qi Lü, Xu Zhang, Enrique Zuazua
Publicado en: Journal de Mathématiques Pures et Appliquées, Edición 108/4, 2017, Página(s) 500-531, ISSN 0021-7824
Editor: Elsevier BV
DOI: 10.1016/j.matpur.2017.05.001

Internal Controllability for Parabolic Systems Involving Analytic Non-local Terms

Autores: Pierre Lissy, Enrique Zuazua
Publicado en: Chinese Annals of Mathematics, Series B, Edición 39/2, 2018, Página(s) 281-296, ISSN 0252-9599
Editor: World Scientific Publishing Co
DOI: 10.1007/s11401-018-1064-6

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

Autores: Zhong-Jie Han, Enrique Zuazua
Publicado en: Networks and Heterogeneous Media, Edición 11/4, 2016, Página(s) 655-692, ISSN 1556-1801
Editor: American Institute of Mathematical Sciences
DOI: 10.3934/nhm.2016013

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

Autores: Hyeong-Ohk Bae, Seung-Yeal Ha, Jeongho Kim, Dongnam Ko, Sung-Ik Sohn
Publicado en: SIAM Journal on Mathematical Analysis, Edición 51/3, 2019, Página(s) 2390-2424, ISSN 0036-1410
Editor: Society for Industrial and Applied Mathematics
DOI: 10.1137/18m122025x

A Stochastic Approach to the Synchronization of Coupled Oscillators

Autores: Umberto Biccari, Enrique Zuazua
Publicado en: Frontiers in Energy Research, Edición 8, 2020, ISSN 2296-598X
Editor: Frontiers
DOI: 10.3389/fenrg.2020.00115

Nonnegative control of finite-dimensional linear systems

Autores: Jérôme Lohéac, Emmanuel Trélat, Enrique Zuazua
Publicado en: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2020, ISSN 0294-1449
Editor: Elsevier BV
DOI: 10.1016/j.anihpc.2020.07.004

Output controllability in a long-time horizon

Autores: Martin Lazar, Jérôme Lohéac
Publicado en: Automatica, Edición 113, 2020, Página(s) 108762, ISSN 0005-1098
Editor: Pergamon Press Ltd.
DOI: 10.1016/j.automatica.2019.108762

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

Autores: Umberto Biccari, Mahamadi Warma
Publicado en: Evolution Equations & Control Theory, Edición 9/2, 2020, Página(s) 399-430, ISSN 2163-2480
Editor: AIMS
DOI: 10.3934/eect.2020011

Shape turnpike for linear parabolic PDE models

Autores: Gontran Lance, Emmanuel Trélat, Enrique Zuazua
Publicado en: Systems & Control Letters, Edición 142, 2020, Página(s) 104733, ISSN 0167-6911
Editor: Elsevier BV
DOI: 10.1016/j.sysconle.2020.104733

Turnpike in optimal shape design

Autores: G. Lance, E. Trélat, E. Zuazua
Publicado en: IFAC-PapersOnLine, Edición 52/16, 2019, Página(s) 496-501, ISSN 2405-8963
Editor: Elsevier
DOI: 10.1016/j.ifacol.2019.12.010

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

Autores: Dongnam Ko, Enrique Zuazua
Publicado en: Mathematical Models and Methods in Applied Sciences, Edición 30/04, 2020, Página(s) 765-804, ISSN 0218-2025
Editor: World Scientific Publishing Co
DOI: 10.1142/s0218202520400047

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

Autores: Seung-Yeal Ha, Dongnam Ko, Woojoo Shim, Hui Yu
Publicado en: Mathematical Models and Methods in Applied Sciences, Edición 30/04, 2020, Página(s) 727-763, ISSN 0218-2025
Editor: World Scientific Publishing Co
DOI: 10.1142/s0218202520400035

Emergent collective behaviors of stochastic kuramoto oscillators

Autores: Seung-Yeal Ha, Dongnam Ko, Chanho Min, Xiongtao Zhang
Publicado en: Discrete & Continuous Dynamical Systems - B, Edición 25/3, 2020, Página(s) 1059-1081, ISSN 1553-524X
Editor: AIMS
DOI: 10.3934/dcdsb.2019208

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

Autores: Umberto Biccari, Víctor Hernández-Santamaría, Judith Vancostenoble
Publicado en: Mathematical Control and Related Fields, 2021, ISSN 2156-8472
Editor: American Institute of Mathematical Sciences

Greedy search of optimal approximate solutions (2022)

Autores: Martin Lazar, Enrique Zuazua.
Publicado en: Communications in Optimization Theory, 2022, ISSN 2051-2953
Editor: Mathematical Research Press

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

Autores: Jan Heiland, Enrique Zuazua
Publicado en: SIAM Journal on Control and Optimization, Edición 03630129, 2021, Página(s) 3600-3624, ISSN 0363-0129
Editor: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1356105

Rotor imbalance suppression by optimal control

Autores: Matteo Gnuffi; Dario Pighin; Noboru Sakamoto
Publicado en: Optimal Control Applications and Methods, Edición 10991514, 2022, Página(s) 213-242, ISSN 1099-1514
Editor: 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

Autores: J.-C. Cortés, A. Navarro-Quiles, J.-V. Romero, M.-D. Roselló, Enrique Zuazua
Publicado en: Journal of the Franklin Institute, Edición 357/12, 2020, Página(s) 8156-8180, ISSN 0016-0032
Editor: Pergamon Press Ltd.
DOI: 10.1016/j.jfranklin.2020.06.005

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

Autores: Azahar Monge, Enrique Zuazua
Publicado en: Systems & Control Letters, Edición 145, 2020, Página(s) 104801, ISSN 0167-6911
Editor: 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

Autores: Carlos Esteve, Hicham Kouhkouh, Dario Pighin, Enrique Zuazua.
Publicado en: Mathematics of Control Signals and Systems, Edición 09324194, 2022, ISSN 0932-4194
Editor: Springer Verlag
DOI: 10.1007/s00498-022-00325-2

Nonuniqueness of minimizers for semilinear optimal control problems

Autores: Dario Pighin
Publicado en: Journal of the European Mathematical Society, 2021, ISSN 1435-9855
Editor: European Mathematical Society Publishing House

Initial data identification for the one-dimensional Burgers equation

Autores: Thibault Liard, Enrique Zuazua
Publicado en: IEEE Transactions on Automatic Control, Edición 67/6, 2022, Página(s) 3098-3104, ISSN 0018-9286
Editor: Institute of Electrical and Electronics Engineers

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

Autores: Umberto Biccari, Víctor Hernández-Santamaría
Publicado en: IMA Journal of Mathematical Control and Information, Edición 36/4, 2018, Página(s) 1199-1235, ISSN 0265-0754
Editor: Oxford University Press
DOI: 10.1093/imamci/dny025

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

Autores: Yacouba Simporé; Oumar Traore
Publicado en: Mathematical Control and Related Fields, Edición 21568472, 2021, ISSN 2156-8472
Editor: American Institute of Mathematical Sciences
DOI: 10.48550/arxiv.2009.04351

Optimal actuator design via Brunovsky’s normal form

Autores: Borjan Geshkovski, Enrique Zuazua
Publicado en: IEEE Transactions on Automatic Control, 2022, ISSN 0018-9286
Editor: Institute of Electrical and Electronics Engineers

The turnpike property in semilinear control

Autores: Dario Pighin
Publicado en: ESAIM Control Optimization and Calculus of Variations, 2021, ISSN 1292-8119
Editor: EDP Sciences

Constrained control of gene-flow models

Autores: Idriss Mazari, Domènec Ruiz-Balet, Enrique Zuazua
Publicado en: Annales de l'Institut Henri Poincaré Analise Non Linéaire, 2022, ISSN 0294-1449
Editor: Elsevier BV

Nonuniqueness of minimizers for semilinear optimal control problems

Autores: Dario Pighin
Publicado en: Journal of the European Mathematical Society, Edición 14359855, 2022, ISSN 1435-9855
Editor: European Mathematical Society Publishing House
DOI: 10.4171/jems/1232

Flow decomposition for heat equations with memory

Autores: Wang, Gengsheng; Zhang, Yubiao; Zuazua, Enrique
Publicado en: Journal de Mathématiques Pures et Appliquées, Edición 00217824, 2022, Página(s) 183-215, ISSN 0021-7824
Editor: 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

Autores: Idriss Mazari, Domènec Ruiz-Balet
Publicado en: SIAM Journal on Applied Mathematics, Edición 81/1, 2021, Página(s) 153-172, ISSN 0036-1399
Editor: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m132818x

Model predictive control with random batch methods for a guiding problem

Autores: Dongnam Ko, Enrique Zuazua
Publicado en: Mathematical Models and Methods in the Applied Sciences, 2021, ISSN 0218-2025
Editor: World Scientific Publishing Co

Controllability of shadow reaction-diffusion systems

Autores: Víctor Hernández-Santamaría, Enrique Zuazua
Publicado en: Journal of Differential Equations, Edición 268/7, 2020, Página(s) 3781-3818, ISSN 0022-0396
Editor: Academic Press
DOI: 10.1016/j.jde.2019.10.012

Controllability of One-Dimensional Viscous Free Boundary Flows

Autores: Borjan Geshkovski, Enrique Zuazua
Publicado en: SIAM Journal on Control and Optimization, Edición 59/3, 2021, Página(s) 1830-1850, ISSN 0363-0129
Editor: Society for Industrial and Applied Mathematics
DOI: 10.1137/19m1285354

Control and Numerical approximation of Fractional Diffusion Equations

Autores: Umberto Biccari, Mahamadi Warma, Enrique Zuazua
Publicado en: Handbok of Numerical Analysis, 2022, ISBN 9780323853392
Editor: Elsevier
DOI: 10.1016/bs.hna.2021.12.001

Controllability Under Positivity Constraints of Multi-d Wave Equations

Autores: Dario Pighin, Enrique Zuazua
Publicado en: Trends in Control Theory and Partial Differential Equations, Edición 32, 2019, Página(s) 195-232, ISBN 978-3-030-17948-9
Editor: 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

Autores: M. Gugat, M. Schuster and E. Zuazua.
Publicado en: Stabilization of Distributed Parameter Systems: Design Methods and Applications, ICIAM 2019 SEMA SIMAI Springer Series, Edición 2, 2021, Página(s) 17-42, ISSN 2199-3041
Editor: Springer

Local Regularity for Fractional Heat Equations

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

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

Autores: Laurent Gosse, Enrique Zuazua
Publicado en: Innovative Algorithms and Analysis, Edición 16, 2017, Página(s) 197-227, ISBN 978-3-319-49261-2
Editor: Springer International Publishing
DOI: 10.1007/978-3-319-49262-9_7

A Parabolic Approach to the Control of Opinion Spreading

Autores: Domènec Ruiz-Balet, Enrique Zuazua
Publicado en: Applied Wave Mathematics II - Selected Topics in Solids, Fluids, and Mathematical Methods and Complexity, Edición 6, 2019, Página(s) 343-363, ISBN 978-3-030-29950-7
Editor: Springer International Publishing
DOI: 10.1007/978-3-030-29951-4_15

Averaged controllability in a long time horizon

Autores: M. Lazar, J. Lohéac
Publicado en: Ninth Conference on Applied Mathematics and Scientific Computing, 2018
Editor: Crosbi

Multilevel selective harmonic modulation by duality

Autores: Umberto Biccari, Enrique Zuazua
Publicado en: IFAC-PapersOnLine, Edición 24058963, 2022, Página(s) 56-61, ISSN 2405-8963
Editor: Elsevier
DOI: 10.1016/j.ifacol.2022.08.081

Optimal driving strategies for traffic control with autonomous vehicles

Autores: Thibault Liard; Raphael Stern; Maria Laura Delle Monache
Publicado en: IFAC-PapersOnLine, 2020, Página(s) 5332-5329
Editor: Elsevier
DOI: 10.1016/j.ifacol.2020.12.1219

The turnpike property in nonlinear optimal control — A geometric approach

Autores: Noboru Sakamoto, Dario Pighin, Enrique Zuazua
Publicado en: 2019 IEEE 58th Conference on Decision and Control (CDC), 2019, Página(s) 2422-2427, ISBN 978-1-7281-1398-2
Editor: IEEE
DOI: 10.1109/cdc40024.2019.9028863

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