Dynamic Control and Numerics of Partial Differential Equations

Pubblicazioni

Averaged dynamics and control for heat equations with random diffusion

Autori: Jon Asier Bárcena Petisco, Enrique Zuazua
Pubblicato in: Systems & Control Letters, Numero 01676911, 2021, Pagina/e 105055, ISSN 0167-6911
Editore: 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

Autori: Tomás Caraballo, J.-C. Cortés, A. Navarro-Quiles
Pubblicato in: Applied Mathematics and Computation, Numero 356, 2019, Pagina/e 198-218, ISSN 0096-3003
Editore: Elsevier BV
DOI: 10.1016/j.amc.2019.03.048

Turnpike in Lipschitz-nonlinear optimal control

Autori: Carlos Esteve, B. Geshkovski, Dario Pighin, Enrique Zuazua
Pubblicato in: Nonlinearity, Numero 09517715, 2022, Pagina/e 1652-1701, ISSN 0951-7715
Editore: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ac4e61

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

Autori: Umberto Biccari, Mahamadi Warma, Enrique Zuazua
Pubblicato in: Communications on Pure & Applied Analysis, Numero 19/4, 2020, Pagina/e 1949-1978, ISSN 1534-0392
Editore: American Institute of Mathematical Sciences
DOI: 10.3934/cpaa.2020086

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

Autori: Daniël Veldman, Enrique Zuazua
Pubblicato in: Numerische Mathematik, Numero 0029599X, 2022, Pagina/e 495-549, ISSN 0029-599X
Editore: Springer Verlag
DOI: 10.1007/s00211-022-01290-3

Control of reaction-diffusion models in biology and social sciences

Autori: Domènec Ruiz-Balet, Enrique Zuazua
Pubblicato in: Mathematical Control and Related Fields, 2022, ISSN 2156-8472
Editore: American Institute of Mathematical Sciences

Multilevel Selective Harmonic Modulation via Optimal Control

Autori: Umberto Biccari, Carlos Esteve-Yagüe, Deyviss Jesús Oroya-Villalta
Pubblicato in: Applied Mathematics & Optimization, 2022, ISSN 0095-4616
Editore: Springer Verlag

Slow decay and turnpike for infinite-horizon hyperbolic LQ problems

Autori: Han, Zhong-Jie; Zuazua, Enrique
Pubblicato in: SIAM Journal on Control and Optimization, Numero 03630129, 2022, Pagina/e 2440-2468, ISSN 0363-0129
Editore: Society for Industrial and Applied Mathematics
DOI: 10.48550/arxiv.2108.10240

Numerical hypocoercivity for the Kolmogorov equation

Autori: Alessio Porretta, Enrique Zuazua
Pubblicato in: Mathematics of Computation, Numero 86/303, 2017, Pagina/e 97-119, ISSN 0025-5718
Editore: American Mathematical Society
DOI: 10.1090/mcom/3157

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

Autori: Shi Jin, Yuhua Zhu, Enrique Zuazua
Pubblicato in: Numerische Mathematics, Numero 0029599X, 2022, Pagina/e 479-519, ISSN 0029-599X
Editore: Springer Verlag
DOI: 10.1007/s00211-021-01257-w

On coupling kinetic and Schrödinger equations

Autori: Avy Soffer, Minh-Binh Tran
Pubblicato in: Journal of Differential Equations, Numero 265/5, 2018, Pagina/e 2243-2279, ISSN 0022-0396
Editore: Academic Press
DOI: 10.1016/j.jde.2018.04.031

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

Autori: Jon Asier Bárcena-Petisco, Sergio Guerrero, Ademir F. Pazoto
Pubblicato in: Communications in Contemporary Mathematics, 2021, Pagina/e 2150003, ISSN 0219-1997
Editore: World Scientific Publishing Co
DOI: 10.1142/s0219199721500036

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

Autori: Domènec Ruiz-Balet, Enrique Zuazua
Pubblicato in: SIAM Review, 2022, ISSN 0036-1445
Editore: Society for Industrial and Applied Mathematics

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

Autori: Umberto Biccari
Pubblicato in: Evolution Equations and Control Theory, 2021, ISSN 2163-2480
Editore: American Institute of Mathematical Sciences

Null-controllability of perturbed porous medium gas flow

Autori: Borjan Geshkovski
Pubblicato in: ESAIM: Control, Optimisation and Calculus of Variations, Numero 26, 2020, Pagina/e 85, ISSN 1292-8119
Editore: EDP Sciences
DOI: 10.1051/cocv/2020009

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

Autori: Debayan Maity; Jean-Pierre Raymond; Arnab Roy
Pubblicato in: Nonlinear Analysis: Real World Applications, Numero 14681218, 2022, Pagina/e 103405, ISSN 1468-1218
Editore: Elsevier BV
DOI: 10.1016/j.nonrwa.2021.103405

Sidewise control of 1-d waves.

Autori: Yesim Sarac, Enrique Zuazua
Pubblicato in: Journal of Optimization Theory and Applications, Numero 00223239, 2022, ISSN 0022-3239
Editore: 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

Autori: Idriss Mazari; Domènec Ruiz-Balet
Pubblicato in: SIAM Journal on Mathematical Analysis, Numero 00361410, 2022, Pagina/e 3848-3883., ISSN 0036-1410
Editore: Society for Industrial and Applied Mathematics
DOI: 10.1137/21m1393121

Turnpike in Optimal Control PDES, ResNets and beyond

Autori: Borjan Geshkovski, Enrique Zuazua
Pubblicato in: Acta Numerica, Numero 31, 2022, Pagina/e 135-263, ISSN 0962-4929
Editore: Cambridge University Press

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

Autori: Domènec Ruiz-Balet, Enrique Zuazua
Pubblicato in: Journal de Mathématiques Pures et Appliquées, Numero 143, 2020, Pagina/e 345-375, ISSN 0021-7824
Editore: Elsevier BV
DOI: 10.1016/j.matpur.2020.08.006

Interpolation and approximation via Momentum ResNets and Neural ODEs

Autori: Domènec Ruiz-Balet, Elisa Affili, Enrique Zuazua.
Pubblicato in: IEEE Control Systems Letters, Numero 24751456, 2022, ISSN 2475-1456
Editore: Institute of Electrical and Electronics Engineers
DOI: 10.1016/j.sysconle.2022.105182

Linear projection-based CEST parameter estimation

Autori: 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
Pubblicato in: NMR in Biomedicine, 2022, ISSN 1099-1492
Editore: John Wiley & Sons Ltd

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

Autori: Debayan Maity, Marius Tucsnak, Enrique Zuazua
Pubblicato in: Control and Cybernetics, Numero 48/2, 2021, ISSN 0324-8569
Editore: Polish Academy of Sciences

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

Autori: Carlos Esteve, Enrique Zuazua
Pubblicato in: SIAM Journal on Mathematical Analysis, Numero 52/6, 2020, Pagina/e 5627-5657, ISSN 0036-1410
Editore: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1330130

Optimal distributed control of linear parabolic equations by spectral decomposition

Autori: Martin Lazar; Cesare Molinari
Pubblicato in: Optimal Control Applications and Methods, Numero 10991514, 2021, Pagina/e 891-926, ISSN 1099-1514
Editore: John Wiley & Sons Ltd
DOI: 10.1002/oca.2708

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

Autori: Umberto Biccari, Aurora Marica, Enrique Zuazua
Pubblicato in: Foundations of Computational Mathematics, Numero 20/6, 2020, Pagina/e 1401-1438, ISSN 1615-3375
Editore: Springer Verlag
DOI: 10.1007/s10208-020-09445-0

A multiscale model for traffic regulation via autonomous vehicles

Autori: Mauro Garavello, Paola Goatin, Thibault Liard, Benedetto Piccoli
Pubblicato in: Journal of Differential Equations, Numero 269/7, 2020, Pagina/e 6088-6124, ISSN 0022-0396
Editore: Academic Press
DOI: 10.1016/j.jde.2020.04.031

Greedy algorithm for parameter dependent operator Lyapunov equations

Autori: Martin Lazar; Jerome Weston
Pubblicato in: Systems & Control Letters, Numero 01676911, 2021, Pagina/e 104968, ISSN 0167-6911
Editore: Elsevier BV
DOI: 10.1016/j.sysconle.2021.104968

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

Autori: Emmanuel Trélat, Can Zhang, Enrique Zuazua
Pubblicato in: SIAM Journal on Control and Optimization, Numero 56/2, 2018, Pagina/e 1222-1252, ISSN 0363-0129
Editore: Society for Industrial and Applied Mathematics
DOI: 10.1137/16M1097638

Local Elliptic Regularity for the Dirichlet Fractional Laplacian

Autori: Umberto Biccari, Mahamadi Warma, Enrique Zuazua
Pubblicato in: Advanced Nonlinear Studies, Numero 17/2, 2017, ISSN 1536-1365
Editore: UTHSCSA Press
DOI: 10.1515/ans-2017-0014

Actuator Design for Parabolic Distributed Parameter Systems with the Moment Method

Autori: Yannick Privat, Emmanuel Trélat, Enrique Zuazua
Pubblicato in: SIAM Journal on Control and Optimization, Numero 55/2, 2017, Pagina/e 1128-1152, ISSN 0363-0129
Editore: Society for Industrial and Applied Mathematics
DOI: 10.1137/16M1058418

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

Autori: Jérôme Lohéac, Emmanuel Trélat, Enrique Zuazua
Pubblicato in: Mathematical Models and Methods in Applied Sciences, Numero 27/09, 2017, Pagina/e 1587-1644, ISSN 0218-2025
Editore: World Scientific Publishing Co
DOI: 10.1142/S0218202517500270

Decay rates for elastic-thermoelastic star-shaped networks

Autori: Zhong-Jie Han, Enrique Zuazua
Pubblicato in: Networks and Heterogeneous Media, Numero 12/3, 2017, Pagina/e 461-488, ISSN 1556-1801
Editore: American Institute of Mathematical Sciences
DOI: 10.3934/nhm.2017020

Controllability of Evolution Equations with Memory

Autori: Felipe W. Chaves-Silva, Xu Zhang, Enrique Zuazua
Pubblicato in: SIAM Journal on Control and Optimization, Numero 55/4, 2017, Pagina/e 2437-2459, ISSN 0363-0129
Editore: Society for Industrial and Applied Mathematics
DOI: 10.1137/151004239

Averaged controllability of parameter dependent conservative semigroups

Autori: Jérôme Lohéac, Enrique Zuazua
Pubblicato in: Journal of Differential Equations, Numero 262/3, 2017, Pagina/e 1540-1574, ISSN 0022-0396
Editore: Academic Press
DOI: 10.1016/j.jde.2016.10.017

Large time control and turnpike properties for wave equations

Autori: Enrique Zuazua
Pubblicato in: Annual Reviews in Control, Numero 44, 2017, Pagina/e 199-210, ISSN 1367-5788
Editore: 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

Autori: Mourad Choulli, Enrique Zuazua
Pubblicato in: Comptes Rendus Mathematique, Numero 354/12, 2016, Pagina/e 1174-1187, ISSN 1631-073X
Editore: Elsevier Masson
DOI: 10.1016/j.crma.2016.10.017

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

Autori: Umberto Biccari, Sorin Micu
Pubblicato in: Journal of Differential Equations, Numero 267/2, 2019, Pagina/e 1376-1422, ISSN 0022-0396
Editore: Academic Press
DOI: 10.1016/j.jde.2019.02.009

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

Autori: Umberto Biccari, Dongnam Ko, Enrique Zuazua
Pubblicato in: Mathematical Models and Methods in Applied Sciences, Numero 29/04, 2019, Pagina/e 755-790, ISSN 0218-2025
Editore: World Scientific Publishing Co
DOI: 10.1142/s0218202519400050

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

Autori: Camille Pouchol, Emmanuel Trélat, Enrique Zuazua
Pubblicato in: Nonlinearity, Numero 32/3, 2019, Pagina/e 884-909, ISSN 0951-7715
Editore: Institute of Physics Publishing
DOI: 10.1088/1361-6544/aaf07e

Internal Observability for Coupled Systems of Linear Partial Differential Equations

Autori: Pierre Lissy, Enrique Zuazua
Pubblicato in: SIAM Journal on Control and Optimization, Numero 57/2, 2019, Pagina/e 832-853, ISSN 0363-0129
Editore: Society for Industrial and Applied Mathematics
DOI: 10.1137/17m1119160

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

Autori: Roberta Bianchini, Laurent Gosse, Enrique Zuazua
Pubblicato in: Multiscale Modeling & Simulation, Numero 17/1, 2019, Pagina/e 137-166, ISSN 1540-3459
Editore: Society for Industrial and Applied Mathematics
DOI: 10.1137/18m1179985

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

Autori: Víctor Hernández-Santamaría, Martin Lazar, Enrique Zuazua
Pubblicato in: Numerische Mathematik, Numero 141/2, 2019, Pagina/e 455-493, ISSN 0029-599X
Editore: Springer Verlag
DOI: 10.1007/s00211-018-1005-z

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

Autori: Debayan Maity, Marius Tucsnak, Enrique Zuazua
Pubblicato in: Journal de Mathématiques Pures et Appliquées, 2018, ISSN 0021-7824
Editore: Elsevier BV
DOI: 10.1016/j.matpur.2018.12.006

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

Autori: Jérôme Lohéac, Emmanuel Trélat, Enrique Zuazua
Pubblicato in: Automatica, Numero 96, 2018, Pagina/e 380-392, ISSN 0005-1098
Editore: 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

Autori: Umberto Biccari
Pubblicato in: Mathematical Control & Related Fields, Numero 9/1, 2019, Pagina/e 191-219, ISSN 2156-8499
Editore: American Institute of Mathematical Sciences
DOI: 10.3934/mcrf.2019011

Allee optimal control of a system in ecology

Autori: Emmanuel Trélat, Jiamin Zhu, Enrique Zuazua
Pubblicato in: Mathematical Models and Methods in Applied Sciences, Numero 28/09, 2018, Pagina/e 1665-1697, ISSN 0218-2025
Editore: World Scientific Publishing Co
DOI: 10.1142/s021820251840002x

Controllability under positivity constraints of semilinear heat equations

Autori: Dario Pighin, Enrique Zuazua
Pubblicato in: Mathematical Control & Related Fields, Numero 8/3, 2018, Pagina/e 935-964, ISSN 2156-8499
Editore: American Institute of Mathematical Sciences
DOI: 10.3934/mcrf.2018041

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

Autori: Yannick Privat, Emmanuel Trélat, Enrique Zuazua
Pubblicato in: Calculus of Variations and Partial Differential Equations, Numero 58/2, 2019, ISSN 0944-2669
Editore: 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

Autori: J.-C. Cortés, A. Navarro-Quiles, J.-V. Romero, M.-D. Roselló
Pubblicato in: Communications in Nonlinear Science and Numerical Simulation, Numero 72, 2019, Pagina/e 121-138, ISSN 1007-5704
Editore: 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

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

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

Autori: J.-C. Cortés, A. Navarro-Quiles, J.-V. Romero, M.-D. Roselló
Pubblicato in: Computational and Mathematical Methods, Numero 1/1, 2019, Pagina/e e1013, ISSN 2577-7408
Editore: Wiley
DOI: 10.1002/cmm4.1013

The Poisson equation from non-local to local

Autori: Umberto Biccari and Víctor Hernández-Santamaría
Pubblicato in: Electronic Journal of Differential Equations, Numero 145, 2018, Pagina/e 1-13, ISSN 1072-6691
Editore: Texas State University - San Marcos

Addendum: Local Elliptic Regularity for the Dirichlet Fractional Laplacian

Autori: Umberto Biccari, Mahamadi Warma, Enrique Zuazua
Pubblicato in: Advanced Nonlinear Studies, Numero 17/4, 2017, ISSN 1536-1365
Editore: UTHSCSA Press
DOI: 10.1515/ans-2017-6020

From averaged to simultaneous controllability

Autori: Jérôme Lohéac, Enrique Zuazua
Pubblicato in: Annales de la faculté des sciences de Toulouse Mathématiques, Numero 25/4, 2016, Pagina/e 785-828, ISSN 0240-2963
Editore: University of Tolouse
DOI: 10.5802/afst.1511

Optimal shape design for 2D heat equations in large time

Autori: Emmanuel Trélat, Can Zhang and Enrique Zuazua
Pubblicato in: J. Appl. Funct. Anal., Numero 3, 2018, Pagina/e 255-269, ISSN 2189-3764
Editore: Yokohama publishers

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

Autori: Umberto Biccari, Víctor Hernández-Santamaría
Pubblicato in: SIAM Journal on Control and Optimization, Numero 57/4, 2019, Pagina/e 2924-2938, ISSN 0363-0129
Editore: Society for Industrial and Applied Mathematics
DOI: 10.1137/18m1218431

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

Autori: M. Morales-Hernández, E. Zuazua
Pubblicato in: Computational and Applied Mathematics, Numero 38/4, 2019, ISSN 2238-3603
Editore: Springer
DOI: 10.1007/s40314-019-0935-0

Null controllability for wave equations with memory

Autori: Qi Lü, Xu Zhang, Enrique Zuazua
Pubblicato in: Journal de Mathématiques Pures et Appliquées, Numero 108/4, 2017, Pagina/e 500-531, ISSN 0021-7824
Editore: Elsevier BV
DOI: 10.1016/j.matpur.2017.05.001

Internal Controllability for Parabolic Systems Involving Analytic Non-local Terms

Autori: Pierre Lissy, Enrique Zuazua
Pubblicato in: Chinese Annals of Mathematics, Series B, Numero 39/2, 2018, Pagina/e 281-296, ISSN 0252-9599
Editore: World Scientific Publishing Co
DOI: 10.1007/s11401-018-1064-6

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

Autori: Zhong-Jie Han, Enrique Zuazua
Pubblicato in: Networks and Heterogeneous Media, Numero 11/4, 2016, Pagina/e 655-692, ISSN 1556-1801
Editore: American Institute of Mathematical Sciences
DOI: 10.3934/nhm.2016013

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

Autori: Hyeong-Ohk Bae, Seung-Yeal Ha, Jeongho Kim, Dongnam Ko, Sung-Ik Sohn
Pubblicato in: SIAM Journal on Mathematical Analysis, Numero 51/3, 2019, Pagina/e 2390-2424, ISSN 0036-1410
Editore: Society for Industrial and Applied Mathematics
DOI: 10.1137/18m122025x

A Stochastic Approach to the Synchronization of Coupled Oscillators

Autori: Umberto Biccari, Enrique Zuazua
Pubblicato in: Frontiers in Energy Research, Numero 8, 2020, ISSN 2296-598X
Editore: Frontiers
DOI: 10.3389/fenrg.2020.00115

Nonnegative control of finite-dimensional linear systems

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

Output controllability in a long-time horizon

Autori: Martin Lazar, Jérôme Lohéac
Pubblicato in: Automatica, Numero 113, 2020, Pagina/e 108762, ISSN 0005-1098
Editore: Pergamon Press Ltd.
DOI: 10.1016/j.automatica.2019.108762

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

Autori: Umberto Biccari, Mahamadi Warma
Pubblicato in: Evolution Equations & Control Theory, Numero 9/2, 2020, Pagina/e 399-430, ISSN 2163-2480
Editore: AIMS
DOI: 10.3934/eect.2020011

Shape turnpike for linear parabolic PDE models

Autori: Gontran Lance, Emmanuel Trélat, Enrique Zuazua
Pubblicato in: Systems & Control Letters, Numero 142, 2020, Pagina/e 104733, ISSN 0167-6911
Editore: Elsevier BV
DOI: 10.1016/j.sysconle.2020.104733

Turnpike in optimal shape design

Autori: G. Lance, E. Trélat, E. Zuazua
Pubblicato in: IFAC-PapersOnLine, Numero 52/16, 2019, Pagina/e 496-501, ISSN 2405-8963
Editore: Elsevier
DOI: 10.1016/j.ifacol.2019.12.010

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

Autori: Dongnam Ko, Enrique Zuazua
Pubblicato in: Mathematical Models and Methods in Applied Sciences, Numero 30/04, 2020, Pagina/e 765-804, ISSN 0218-2025
Editore: World Scientific Publishing Co
DOI: 10.1142/s0218202520400047

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

Autori: Seung-Yeal Ha, Dongnam Ko, Woojoo Shim, Hui Yu
Pubblicato in: Mathematical Models and Methods in Applied Sciences, Numero 30/04, 2020, Pagina/e 727-763, ISSN 0218-2025
Editore: World Scientific Publishing Co
DOI: 10.1142/s0218202520400035

Emergent collective behaviors of stochastic kuramoto oscillators

Autori: Seung-Yeal Ha, Dongnam Ko, Chanho Min, Xiongtao Zhang
Pubblicato in: Discrete & Continuous Dynamical Systems - B, Numero 25/3, 2020, Pagina/e 1059-1081, ISSN 1553-524X
Editore: AIMS
DOI: 10.3934/dcdsb.2019208

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

Autori: Umberto Biccari, Víctor Hernández-Santamaría, Judith Vancostenoble
Pubblicato in: Mathematical Control and Related Fields, 2021, ISSN 2156-8472
Editore: American Institute of Mathematical Sciences

Greedy search of optimal approximate solutions (2022)

Autori: Martin Lazar, Enrique Zuazua.
Pubblicato in: Communications in Optimization Theory, 2022, ISSN 2051-2953
Editore: Mathematical Research Press

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

Autori: Jan Heiland, Enrique Zuazua
Pubblicato in: SIAM Journal on Control and Optimization, Numero 03630129, 2021, Pagina/e 3600-3624, ISSN 0363-0129
Editore: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1356105

Rotor imbalance suppression by optimal control

Autori: Matteo Gnuffi; Dario Pighin; Noboru Sakamoto
Pubblicato in: Optimal Control Applications and Methods, Numero 10991514, 2022, Pagina/e 213-242, ISSN 1099-1514
Editore: 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

Autori: J.-C. Cortés, A. Navarro-Quiles, J.-V. Romero, M.-D. Roselló, Enrique Zuazua
Pubblicato in: Journal of the Franklin Institute, Numero 357/12, 2020, Pagina/e 8156-8180, ISSN 0016-0032
Editore: Pergamon Press Ltd.
DOI: 10.1016/j.jfranklin.2020.06.005

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

Autori: Azahar Monge, Enrique Zuazua
Pubblicato in: Systems & Control Letters, Numero 145, 2020, Pagina/e 104801, ISSN 0167-6911
Editore: 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

Autori: Carlos Esteve, Hicham Kouhkouh, Dario Pighin, Enrique Zuazua.
Pubblicato in: Mathematics of Control Signals and Systems, Numero 09324194, 2022, ISSN 0932-4194
Editore: Springer Verlag
DOI: 10.1007/s00498-022-00325-2

Nonuniqueness of minimizers for semilinear optimal control problems

Autori: Dario Pighin
Pubblicato in: Journal of the European Mathematical Society, 2021, ISSN 1435-9855
Editore: European Mathematical Society Publishing House

Initial data identification for the one-dimensional Burgers equation

Autori: Thibault Liard, Enrique Zuazua
Pubblicato in: IEEE Transactions on Automatic Control, Numero 67/6, 2022, Pagina/e 3098-3104, ISSN 0018-9286
Editore: Institute of Electrical and Electronics Engineers

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

Autori: Umberto Biccari, Víctor Hernández-Santamaría
Pubblicato in: IMA Journal of Mathematical Control and Information, Numero 36/4, 2018, Pagina/e 1199-1235, ISSN 0265-0754
Editore: Oxford University Press
DOI: 10.1093/imamci/dny025

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

Autori: Yacouba Simporé; Oumar Traore
Pubblicato in: Mathematical Control and Related Fields, Numero 21568472, 2021, ISSN 2156-8472
Editore: American Institute of Mathematical Sciences
DOI: 10.48550/arxiv.2009.04351

Optimal actuator design via Brunovsky’s normal form

Autori: Borjan Geshkovski, Enrique Zuazua
Pubblicato in: IEEE Transactions on Automatic Control, 2022, ISSN 0018-9286
Editore: Institute of Electrical and Electronics Engineers

The turnpike property in semilinear control

Autori: Dario Pighin
Pubblicato in: ESAIM Control Optimization and Calculus of Variations, 2021, ISSN 1292-8119
Editore: EDP Sciences

Constrained control of gene-flow models

Autori: Idriss Mazari, Domènec Ruiz-Balet, Enrique Zuazua
Pubblicato in: Annales de l'Institut Henri Poincaré Analise Non Linéaire, 2022, ISSN 0294-1449
Editore: Elsevier BV

Nonuniqueness of minimizers for semilinear optimal control problems

Autori: Dario Pighin
Pubblicato in: Journal of the European Mathematical Society, Numero 14359855, 2022, ISSN 1435-9855
Editore: European Mathematical Society Publishing House
DOI: 10.4171/jems/1232

Flow decomposition for heat equations with memory

Autori: Wang, Gengsheng; Zhang, Yubiao; Zuazua, Enrique
Pubblicato in: Journal de Mathématiques Pures et Appliquées, Numero 00217824, 2022, Pagina/e 183-215, ISSN 0021-7824
Editore: 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

Autori: Idriss Mazari, Domènec Ruiz-Balet
Pubblicato in: SIAM Journal on Applied Mathematics, Numero 81/1, 2021, Pagina/e 153-172, ISSN 0036-1399
Editore: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m132818x

Model predictive control with random batch methods for a guiding problem

Autori: Dongnam Ko, Enrique Zuazua
Pubblicato in: Mathematical Models and Methods in the Applied Sciences, 2021, ISSN 0218-2025
Editore: World Scientific Publishing Co

Controllability of shadow reaction-diffusion systems

Autori: Víctor Hernández-Santamaría, Enrique Zuazua
Pubblicato in: Journal of Differential Equations, Numero 268/7, 2020, Pagina/e 3781-3818, ISSN 0022-0396
Editore: Academic Press
DOI: 10.1016/j.jde.2019.10.012

Controllability of One-Dimensional Viscous Free Boundary Flows

Autori: Borjan Geshkovski, Enrique Zuazua
Pubblicato in: SIAM Journal on Control and Optimization, Numero 59/3, 2021, Pagina/e 1830-1850, ISSN 0363-0129
Editore: Society for Industrial and Applied Mathematics
DOI: 10.1137/19m1285354

Control and Numerical approximation of Fractional Diffusion Equations

Autori: Umberto Biccari, Mahamadi Warma, Enrique Zuazua
Pubblicato in: Handbok of Numerical Analysis, 2022, ISBN 9780323853392
Editore: Elsevier
DOI: 10.1016/bs.hna.2021.12.001

Controllability Under Positivity Constraints of Multi-d Wave Equations

Autori: Dario Pighin, Enrique Zuazua
Pubblicato in: Trends in Control Theory and Partial Differential Equations, Numero 32, 2019, Pagina/e 195-232, ISBN 978-3-030-17948-9
Editore: 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

Autori: M. Gugat, M. Schuster and E. Zuazua.
Pubblicato in: Stabilization of Distributed Parameter Systems: Design Methods and Applications, ICIAM 2019 SEMA SIMAI Springer Series, Numero 2, 2021, Pagina/e 17-42, ISSN 2199-3041
Editore: Springer

Local Regularity for Fractional Heat Equations

Autori: Umberto Biccari, Mahamadi Warma, Enrique Zuazua
Pubblicato in: Recent Advances in PDEs: Analysis, Numerics and Control - In Honor of Prof. Fernández-Cara's 60th Birthday, Numero 17, 2018, Pagina/e 233-249, ISBN 978-3-319-97612-9
Editore: Springer International Publishing
DOI: 10.1007/978-3-319-97613-6_12

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

Autori: Laurent Gosse, Enrique Zuazua
Pubblicato in: Innovative Algorithms and Analysis, Numero 16, 2017, Pagina/e 197-227, ISBN 978-3-319-49261-2
Editore: Springer International Publishing
DOI: 10.1007/978-3-319-49262-9_7

A Parabolic Approach to the Control of Opinion Spreading

Autori: Domènec Ruiz-Balet, Enrique Zuazua
Pubblicato in: Applied Wave Mathematics II - Selected Topics in Solids, Fluids, and Mathematical Methods and Complexity, Numero 6, 2019, Pagina/e 343-363, ISBN 978-3-030-29950-7
Editore: Springer International Publishing
DOI: 10.1007/978-3-030-29951-4_15

Averaged controllability in a long time horizon

Autori: M. Lazar, J. Lohéac
Pubblicato in: Ninth Conference on Applied Mathematics and Scientific Computing, 2018
Editore: Crosbi

Multilevel selective harmonic modulation by duality

Autori: Umberto Biccari, Enrique Zuazua
Pubblicato in: IFAC-PapersOnLine, Numero 24058963, 2022, Pagina/e 56-61, ISSN 2405-8963
Editore: Elsevier
DOI: 10.1016/j.ifacol.2022.08.081

Optimal driving strategies for traffic control with autonomous vehicles

Autori: Thibault Liard; Raphael Stern; Maria Laura Delle Monache
Pubblicato in: IFAC-PapersOnLine, 2020, Pagina/e 5332-5329
Editore: Elsevier
DOI: 10.1016/j.ifacol.2020.12.1219

The turnpike property in nonlinear optimal control — A geometric approach

Autori: Noboru Sakamoto, Dario Pighin, Enrique Zuazua
Pubblicato in: 2019 IEEE 58th Conference on Decision and Control (CDC), 2019, Pagina/e 2422-2427, ISBN 978-1-7281-1398-2
Editore: IEEE
DOI: 10.1109/cdc40024.2019.9028863

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