Dynamic Control and Numerics of Partial Differential Equations

Publikacje

Averaged dynamics and control for heat equations with random diffusion

Autorzy: Jon Asier Bárcena Petisco, Enrique Zuazua
Opublikowane w: Systems & Control Letters, Numer 01676911, 2021, Strona(/y) 105055, ISSN 0167-6911
Wydawca: 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

Autorzy: Tomás Caraballo, J.-C. Cortés, A. Navarro-Quiles
Opublikowane w: Applied Mathematics and Computation, Numer 356, 2019, Strona(/y) 198-218, ISSN 0096-3003
Wydawca: Elsevier BV
DOI: 10.1016/j.amc.2019.03.048

Turnpike in Lipschitz-nonlinear optimal control

Autorzy: Carlos Esteve, B. Geshkovski, Dario Pighin, Enrique Zuazua
Opublikowane w: Nonlinearity, Numer 09517715, 2022, Strona(/y) 1652-1701, ISSN 0951-7715
Wydawca: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ac4e61

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

Autorzy: Umberto Biccari, Mahamadi Warma, Enrique Zuazua
Opublikowane w: Communications on Pure & Applied Analysis, Numer 19/4, 2020, Strona(/y) 1949-1978, ISSN 1534-0392
Wydawca: American Institute of Mathematical Sciences
DOI: 10.3934/cpaa.2020086

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

Autorzy: Daniël Veldman, Enrique Zuazua
Opublikowane w: Numerische Mathematik, Numer 0029599X, 2022, Strona(/y) 495-549, ISSN 0029-599X
Wydawca: Springer Verlag
DOI: 10.1007/s00211-022-01290-3

Control of reaction-diffusion models in biology and social sciences

Autorzy: Domènec Ruiz-Balet, Enrique Zuazua
Opublikowane w: Mathematical Control and Related Fields, 2022, ISSN 2156-8472
Wydawca: American Institute of Mathematical Sciences

Multilevel Selective Harmonic Modulation via Optimal Control

Autorzy: Umberto Biccari, Carlos Esteve-Yagüe, Deyviss Jesús Oroya-Villalta
Opublikowane w: Applied Mathematics & Optimization, 2022, ISSN 0095-4616
Wydawca: Springer Verlag

Slow decay and turnpike for infinite-horizon hyperbolic LQ problems

Autorzy: Han, Zhong-Jie; Zuazua, Enrique
Opublikowane w: SIAM Journal on Control and Optimization, Numer 03630129, 2022, Strona(/y) 2440-2468, ISSN 0363-0129
Wydawca: Society for Industrial and Applied Mathematics
DOI: 10.48550/arxiv.2108.10240

Numerical hypocoercivity for the Kolmogorov equation

Autorzy: Alessio Porretta, Enrique Zuazua
Opublikowane w: Mathematics of Computation, Numer 86/303, 2017, Strona(/y) 97-119, ISSN 0025-5718
Wydawca: American Mathematical Society
DOI: 10.1090/mcom/3157

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

Autorzy: Shi Jin, Yuhua Zhu, Enrique Zuazua
Opublikowane w: Numerische Mathematics, Numer 0029599X, 2022, Strona(/y) 479-519, ISSN 0029-599X
Wydawca: Springer Verlag
DOI: 10.1007/s00211-021-01257-w

On coupling kinetic and Schrödinger equations

Autorzy: Avy Soffer, Minh-Binh Tran
Opublikowane w: Journal of Differential Equations, Numer 265/5, 2018, Strona(/y) 2243-2279, ISSN 0022-0396
Wydawca: Academic Press
DOI: 10.1016/j.jde.2018.04.031

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

Autorzy: Jon Asier Bárcena-Petisco, Sergio Guerrero, Ademir F. Pazoto
Opublikowane w: Communications in Contemporary Mathematics, 2021, Strona(/y) 2150003, ISSN 0219-1997
Wydawca: World Scientific Publishing Co
DOI: 10.1142/s0219199721500036

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

Autorzy: Domènec Ruiz-Balet, Enrique Zuazua
Opublikowane w: SIAM Review, 2022, ISSN 0036-1445
Wydawca: Society for Industrial and Applied Mathematics

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

Autorzy: Umberto Biccari
Opublikowane w: Evolution Equations and Control Theory, 2021, ISSN 2163-2480
Wydawca: American Institute of Mathematical Sciences

Null-controllability of perturbed porous medium gas flow

Autorzy: Borjan Geshkovski
Opublikowane w: ESAIM: Control, Optimisation and Calculus of Variations, Numer 26, 2020, Strona(/y) 85, ISSN 1292-8119
Wydawca: EDP Sciences
DOI: 10.1051/cocv/2020009

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

Autorzy: Debayan Maity; Jean-Pierre Raymond; Arnab Roy
Opublikowane w: Nonlinear Analysis: Real World Applications, Numer 14681218, 2022, Strona(/y) 103405, ISSN 1468-1218
Wydawca: Elsevier BV
DOI: 10.1016/j.nonrwa.2021.103405

Sidewise control of 1-d waves.

Autorzy: Yesim Sarac, Enrique Zuazua
Opublikowane w: Journal of Optimization Theory and Applications, Numer 00223239, 2022, ISSN 0022-3239
Wydawca: 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

Autorzy: Idriss Mazari; Domènec Ruiz-Balet
Opublikowane w: SIAM Journal on Mathematical Analysis, Numer 00361410, 2022, Strona(/y) 3848-3883., ISSN 0036-1410
Wydawca: Society for Industrial and Applied Mathematics
DOI: 10.1137/21m1393121

Turnpike in Optimal Control PDES, ResNets and beyond

Autorzy: Borjan Geshkovski, Enrique Zuazua
Opublikowane w: Acta Numerica, Numer 31, 2022, Strona(/y) 135-263, ISSN 0962-4929
Wydawca: Cambridge University Press

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

Autorzy: Domènec Ruiz-Balet, Enrique Zuazua
Opublikowane w: Journal de Mathématiques Pures et Appliquées, Numer 143, 2020, Strona(/y) 345-375, ISSN 0021-7824
Wydawca: Elsevier BV
DOI: 10.1016/j.matpur.2020.08.006

Interpolation and approximation via Momentum ResNets and Neural ODEs

Autorzy: Domènec Ruiz-Balet, Elisa Affili, Enrique Zuazua.
Opublikowane w: IEEE Control Systems Letters, Numer 24751456, 2022, ISSN 2475-1456
Wydawca: Institute of Electrical and Electronics Engineers
DOI: 10.1016/j.sysconle.2022.105182

Linear projection-based CEST parameter estimation

Autorzy: 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
Opublikowane w: NMR in Biomedicine, 2022, ISSN 1099-1492
Wydawca: John Wiley & Sons Ltd

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

Autorzy: Debayan Maity, Marius Tucsnak, Enrique Zuazua
Opublikowane w: Control and Cybernetics, Numer 48/2, 2021, ISSN 0324-8569
Wydawca: Polish Academy of Sciences

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

Autorzy: Carlos Esteve, Enrique Zuazua
Opublikowane w: SIAM Journal on Mathematical Analysis, Numer 52/6, 2020, Strona(/y) 5627-5657, ISSN 0036-1410
Wydawca: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1330130

Optimal distributed control of linear parabolic equations by spectral decomposition

Autorzy: Martin Lazar; Cesare Molinari
Opublikowane w: Optimal Control Applications and Methods, Numer 10991514, 2021, Strona(/y) 891-926, ISSN 1099-1514
Wydawca: John Wiley & Sons Ltd
DOI: 10.1002/oca.2708

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

Autorzy: Umberto Biccari, Aurora Marica, Enrique Zuazua
Opublikowane w: Foundations of Computational Mathematics, Numer 20/6, 2020, Strona(/y) 1401-1438, ISSN 1615-3375
Wydawca: Springer Verlag
DOI: 10.1007/s10208-020-09445-0

A multiscale model for traffic regulation via autonomous vehicles

Autorzy: Mauro Garavello, Paola Goatin, Thibault Liard, Benedetto Piccoli
Opublikowane w: Journal of Differential Equations, Numer 269/7, 2020, Strona(/y) 6088-6124, ISSN 0022-0396
Wydawca: Academic Press
DOI: 10.1016/j.jde.2020.04.031

Greedy algorithm for parameter dependent operator Lyapunov equations

Autorzy: Martin Lazar; Jerome Weston
Opublikowane w: Systems & Control Letters, Numer 01676911, 2021, Strona(/y) 104968, ISSN 0167-6911
Wydawca: Elsevier BV
DOI: 10.1016/j.sysconle.2021.104968

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

Autorzy: Emmanuel Trélat, Can Zhang, Enrique Zuazua
Opublikowane w: SIAM Journal on Control and Optimization, Numer 56/2, 2018, Strona(/y) 1222-1252, ISSN 0363-0129
Wydawca: Society for Industrial and Applied Mathematics
DOI: 10.1137/16M1097638

Local Elliptic Regularity for the Dirichlet Fractional Laplacian

Autorzy: Umberto Biccari, Mahamadi Warma, Enrique Zuazua
Opublikowane w: Advanced Nonlinear Studies, Numer 17/2, 2017, ISSN 1536-1365
Wydawca: UTHSCSA Press
DOI: 10.1515/ans-2017-0014

Actuator Design for Parabolic Distributed Parameter Systems with the Moment Method

Autorzy: Yannick Privat, Emmanuel Trélat, Enrique Zuazua
Opublikowane w: SIAM Journal on Control and Optimization, Numer 55/2, 2017, Strona(/y) 1128-1152, ISSN 0363-0129
Wydawca: Society for Industrial and Applied Mathematics
DOI: 10.1137/16M1058418

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

Autorzy: Jérôme Lohéac, Emmanuel Trélat, Enrique Zuazua
Opublikowane w: Mathematical Models and Methods in Applied Sciences, Numer 27/09, 2017, Strona(/y) 1587-1644, ISSN 0218-2025
Wydawca: World Scientific Publishing Co
DOI: 10.1142/S0218202517500270

Decay rates for elastic-thermoelastic star-shaped networks

Autorzy: Zhong-Jie Han, Enrique Zuazua
Opublikowane w: Networks and Heterogeneous Media, Numer 12/3, 2017, Strona(/y) 461-488, ISSN 1556-1801
Wydawca: American Institute of Mathematical Sciences
DOI: 10.3934/nhm.2017020

Controllability of Evolution Equations with Memory

Autorzy: Felipe W. Chaves-Silva, Xu Zhang, Enrique Zuazua
Opublikowane w: SIAM Journal on Control and Optimization, Numer 55/4, 2017, Strona(/y) 2437-2459, ISSN 0363-0129
Wydawca: Society for Industrial and Applied Mathematics
DOI: 10.1137/151004239

Averaged controllability of parameter dependent conservative semigroups

Autorzy: Jérôme Lohéac, Enrique Zuazua
Opublikowane w: Journal of Differential Equations, Numer 262/3, 2017, Strona(/y) 1540-1574, ISSN 0022-0396
Wydawca: Academic Press
DOI: 10.1016/j.jde.2016.10.017

Large time control and turnpike properties for wave equations

Autorzy: Enrique Zuazua
Opublikowane w: Annual Reviews in Control, Numer 44, 2017, Strona(/y) 199-210, ISSN 1367-5788
Wydawca: 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

Autorzy: Mourad Choulli, Enrique Zuazua
Opublikowane w: Comptes Rendus Mathematique, Numer 354/12, 2016, Strona(/y) 1174-1187, ISSN 1631-073X
Wydawca: Elsevier Masson
DOI: 10.1016/j.crma.2016.10.017

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

Autorzy: Umberto Biccari, Sorin Micu
Opublikowane w: Journal of Differential Equations, Numer 267/2, 2019, Strona(/y) 1376-1422, ISSN 0022-0396
Wydawca: Academic Press
DOI: 10.1016/j.jde.2019.02.009

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

Autorzy: Umberto Biccari, Dongnam Ko, Enrique Zuazua
Opublikowane w: Mathematical Models and Methods in Applied Sciences, Numer 29/04, 2019, Strona(/y) 755-790, ISSN 0218-2025
Wydawca: World Scientific Publishing Co
DOI: 10.1142/s0218202519400050

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

Autorzy: Camille Pouchol, Emmanuel Trélat, Enrique Zuazua
Opublikowane w: Nonlinearity, Numer 32/3, 2019, Strona(/y) 884-909, ISSN 0951-7715
Wydawca: Institute of Physics Publishing
DOI: 10.1088/1361-6544/aaf07e

Internal Observability for Coupled Systems of Linear Partial Differential Equations

Autorzy: Pierre Lissy, Enrique Zuazua
Opublikowane w: SIAM Journal on Control and Optimization, Numer 57/2, 2019, Strona(/y) 832-853, ISSN 0363-0129
Wydawca: Society for Industrial and Applied Mathematics
DOI: 10.1137/17m1119160

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

Autorzy: Roberta Bianchini, Laurent Gosse, Enrique Zuazua
Opublikowane w: Multiscale Modeling & Simulation, Numer 17/1, 2019, Strona(/y) 137-166, ISSN 1540-3459
Wydawca: Society for Industrial and Applied Mathematics
DOI: 10.1137/18m1179985

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

Autorzy: Víctor Hernández-Santamaría, Martin Lazar, Enrique Zuazua
Opublikowane w: Numerische Mathematik, Numer 141/2, 2019, Strona(/y) 455-493, ISSN 0029-599X
Wydawca: Springer Verlag
DOI: 10.1007/s00211-018-1005-z

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

Autorzy: Debayan Maity, Marius Tucsnak, Enrique Zuazua
Opublikowane w: Journal de Mathématiques Pures et Appliquées, 2018, ISSN 0021-7824
Wydawca: Elsevier BV
DOI: 10.1016/j.matpur.2018.12.006

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

Autorzy: Jérôme Lohéac, Emmanuel Trélat, Enrique Zuazua
Opublikowane w: Automatica, Numer 96, 2018, Strona(/y) 380-392, ISSN 0005-1098
Wydawca: 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

Autorzy: Umberto Biccari
Opublikowane w: Mathematical Control & Related Fields, Numer 9/1, 2019, Strona(/y) 191-219, ISSN 2156-8499
Wydawca: American Institute of Mathematical Sciences
DOI: 10.3934/mcrf.2019011

Allee optimal control of a system in ecology

Autorzy: Emmanuel Trélat, Jiamin Zhu, Enrique Zuazua
Opublikowane w: Mathematical Models and Methods in Applied Sciences, Numer 28/09, 2018, Strona(/y) 1665-1697, ISSN 0218-2025
Wydawca: World Scientific Publishing Co
DOI: 10.1142/s021820251840002x

Controllability under positivity constraints of semilinear heat equations

Autorzy: Dario Pighin, Enrique Zuazua
Opublikowane w: Mathematical Control & Related Fields, Numer 8/3, 2018, Strona(/y) 935-964, ISSN 2156-8499
Wydawca: American Institute of Mathematical Sciences
DOI: 10.3934/mcrf.2018041

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

Autorzy: Yannick Privat, Emmanuel Trélat, Enrique Zuazua
Opublikowane w: Calculus of Variations and Partial Differential Equations, Numer 58/2, 2019, ISSN 0944-2669
Wydawca: 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

Autorzy: J.-C. Cortés, A. Navarro-Quiles, J.-V. Romero, M.-D. Roselló
Opublikowane w: Communications in Nonlinear Science and Numerical Simulation, Numer 72, 2019, Strona(/y) 121-138, ISSN 1007-5704
Wydawca: 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

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

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

Autorzy: J.-C. Cortés, A. Navarro-Quiles, J.-V. Romero, M.-D. Roselló
Opublikowane w: Computational and Mathematical Methods, Numer 1/1, 2019, Strona(/y) e1013, ISSN 2577-7408
Wydawca: Wiley
DOI: 10.1002/cmm4.1013

The Poisson equation from non-local to local

Autorzy: Umberto Biccari and Víctor Hernández-Santamaría
Opublikowane w: Electronic Journal of Differential Equations, Numer 145, 2018, Strona(/y) 1-13, ISSN 1072-6691
Wydawca: Texas State University - San Marcos

Addendum: Local Elliptic Regularity for the Dirichlet Fractional Laplacian

Autorzy: Umberto Biccari, Mahamadi Warma, Enrique Zuazua
Opublikowane w: Advanced Nonlinear Studies, Numer 17/4, 2017, ISSN 1536-1365
Wydawca: UTHSCSA Press
DOI: 10.1515/ans-2017-6020

From averaged to simultaneous controllability

Autorzy: Jérôme Lohéac, Enrique Zuazua
Opublikowane w: Annales de la faculté des sciences de Toulouse Mathématiques, Numer 25/4, 2016, Strona(/y) 785-828, ISSN 0240-2963
Wydawca: University of Tolouse
DOI: 10.5802/afst.1511

Optimal shape design for 2D heat equations in large time

Autorzy: Emmanuel Trélat, Can Zhang and Enrique Zuazua
Opublikowane w: J. Appl. Funct. Anal., Numer 3, 2018, Strona(/y) 255-269, ISSN 2189-3764
Wydawca: Yokohama publishers

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

Autorzy: Umberto Biccari, Víctor Hernández-Santamaría
Opublikowane w: SIAM Journal on Control and Optimization, Numer 57/4, 2019, Strona(/y) 2924-2938, ISSN 0363-0129
Wydawca: Society for Industrial and Applied Mathematics
DOI: 10.1137/18m1218431

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

Autorzy: M. Morales-Hernández, E. Zuazua
Opublikowane w: Computational and Applied Mathematics, Numer 38/4, 2019, ISSN 2238-3603
Wydawca: Springer
DOI: 10.1007/s40314-019-0935-0

Null controllability for wave equations with memory

Autorzy: Qi Lü, Xu Zhang, Enrique Zuazua
Opublikowane w: Journal de Mathématiques Pures et Appliquées, Numer 108/4, 2017, Strona(/y) 500-531, ISSN 0021-7824
Wydawca: Elsevier BV
DOI: 10.1016/j.matpur.2017.05.001

Internal Controllability for Parabolic Systems Involving Analytic Non-local Terms

Autorzy: Pierre Lissy, Enrique Zuazua
Opublikowane w: Chinese Annals of Mathematics, Series B, Numer 39/2, 2018, Strona(/y) 281-296, ISSN 0252-9599
Wydawca: World Scientific Publishing Co
DOI: 10.1007/s11401-018-1064-6

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

Autorzy: Zhong-Jie Han, Enrique Zuazua
Opublikowane w: Networks and Heterogeneous Media, Numer 11/4, 2016, Strona(/y) 655-692, ISSN 1556-1801
Wydawca: American Institute of Mathematical Sciences
DOI: 10.3934/nhm.2016013

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

Autorzy: Hyeong-Ohk Bae, Seung-Yeal Ha, Jeongho Kim, Dongnam Ko, Sung-Ik Sohn
Opublikowane w: SIAM Journal on Mathematical Analysis, Numer 51/3, 2019, Strona(/y) 2390-2424, ISSN 0036-1410
Wydawca: Society for Industrial and Applied Mathematics
DOI: 10.1137/18m122025x

A Stochastic Approach to the Synchronization of Coupled Oscillators

Autorzy: Umberto Biccari, Enrique Zuazua
Opublikowane w: Frontiers in Energy Research, Numer 8, 2020, ISSN 2296-598X
Wydawca: Frontiers
DOI: 10.3389/fenrg.2020.00115

Nonnegative control of finite-dimensional linear systems

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

Output controllability in a long-time horizon

Autorzy: Martin Lazar, Jérôme Lohéac
Opublikowane w: Automatica, Numer 113, 2020, Strona(/y) 108762, ISSN 0005-1098
Wydawca: Pergamon Press Ltd.
DOI: 10.1016/j.automatica.2019.108762

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

Autorzy: Umberto Biccari, Mahamadi Warma
Opublikowane w: Evolution Equations & Control Theory, Numer 9/2, 2020, Strona(/y) 399-430, ISSN 2163-2480
Wydawca: AIMS
DOI: 10.3934/eect.2020011

Shape turnpike for linear parabolic PDE models

Autorzy: Gontran Lance, Emmanuel Trélat, Enrique Zuazua
Opublikowane w: Systems & Control Letters, Numer 142, 2020, Strona(/y) 104733, ISSN 0167-6911
Wydawca: Elsevier BV
DOI: 10.1016/j.sysconle.2020.104733

Turnpike in optimal shape design

Autorzy: G. Lance, E. Trélat, E. Zuazua
Opublikowane w: IFAC-PapersOnLine, Numer 52/16, 2019, Strona(/y) 496-501, ISSN 2405-8963
Wydawca: Elsevier
DOI: 10.1016/j.ifacol.2019.12.010

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

Autorzy: Dongnam Ko, Enrique Zuazua
Opublikowane w: Mathematical Models and Methods in Applied Sciences, Numer 30/04, 2020, Strona(/y) 765-804, ISSN 0218-2025
Wydawca: World Scientific Publishing Co
DOI: 10.1142/s0218202520400047

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

Autorzy: Seung-Yeal Ha, Dongnam Ko, Woojoo Shim, Hui Yu
Opublikowane w: Mathematical Models and Methods in Applied Sciences, Numer 30/04, 2020, Strona(/y) 727-763, ISSN 0218-2025
Wydawca: World Scientific Publishing Co
DOI: 10.1142/s0218202520400035

Emergent collective behaviors of stochastic kuramoto oscillators

Autorzy: Seung-Yeal Ha, Dongnam Ko, Chanho Min, Xiongtao Zhang
Opublikowane w: Discrete & Continuous Dynamical Systems - B, Numer 25/3, 2020, Strona(/y) 1059-1081, ISSN 1553-524X
Wydawca: AIMS
DOI: 10.3934/dcdsb.2019208

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

Autorzy: Umberto Biccari, Víctor Hernández-Santamaría, Judith Vancostenoble
Opublikowane w: Mathematical Control and Related Fields, 2021, ISSN 2156-8472
Wydawca: American Institute of Mathematical Sciences

Greedy search of optimal approximate solutions (2022)

Autorzy: Martin Lazar, Enrique Zuazua.
Opublikowane w: Communications in Optimization Theory, 2022, ISSN 2051-2953
Wydawca: Mathematical Research Press

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

Autorzy: Jan Heiland, Enrique Zuazua
Opublikowane w: SIAM Journal on Control and Optimization, Numer 03630129, 2021, Strona(/y) 3600-3624, ISSN 0363-0129
Wydawca: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1356105

Rotor imbalance suppression by optimal control

Autorzy: Matteo Gnuffi; Dario Pighin; Noboru Sakamoto
Opublikowane w: Optimal Control Applications and Methods, Numer 10991514, 2022, Strona(/y) 213-242, ISSN 1099-1514
Wydawca: 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

Autorzy: J.-C. Cortés, A. Navarro-Quiles, J.-V. Romero, M.-D. Roselló, Enrique Zuazua
Opublikowane w: Journal of the Franklin Institute, Numer 357/12, 2020, Strona(/y) 8156-8180, ISSN 0016-0032
Wydawca: Pergamon Press Ltd.
DOI: 10.1016/j.jfranklin.2020.06.005

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

Autorzy: Azahar Monge, Enrique Zuazua
Opublikowane w: Systems & Control Letters, Numer 145, 2020, Strona(/y) 104801, ISSN 0167-6911
Wydawca: 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

Autorzy: Carlos Esteve, Hicham Kouhkouh, Dario Pighin, Enrique Zuazua.
Opublikowane w: Mathematics of Control Signals and Systems, Numer 09324194, 2022, ISSN 0932-4194
Wydawca: Springer Verlag
DOI: 10.1007/s00498-022-00325-2

Nonuniqueness of minimizers for semilinear optimal control problems

Autorzy: Dario Pighin
Opublikowane w: Journal of the European Mathematical Society, 2021, ISSN 1435-9855
Wydawca: European Mathematical Society Publishing House

Initial data identification for the one-dimensional Burgers equation

Autorzy: Thibault Liard, Enrique Zuazua
Opublikowane w: IEEE Transactions on Automatic Control, Numer 67/6, 2022, Strona(/y) 3098-3104, ISSN 0018-9286
Wydawca: Institute of Electrical and Electronics Engineers

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

Autorzy: Umberto Biccari, Víctor Hernández-Santamaría
Opublikowane w: IMA Journal of Mathematical Control and Information, Numer 36/4, 2018, Strona(/y) 1199-1235, ISSN 0265-0754
Wydawca: Oxford University Press
DOI: 10.1093/imamci/dny025

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

Autorzy: Yacouba Simporé; Oumar Traore
Opublikowane w: Mathematical Control and Related Fields, Numer 21568472, 2021, ISSN 2156-8472
Wydawca: American Institute of Mathematical Sciences
DOI: 10.48550/arxiv.2009.04351

Optimal actuator design via Brunovsky’s normal form

Autorzy: Borjan Geshkovski, Enrique Zuazua
Opublikowane w: IEEE Transactions on Automatic Control, 2022, ISSN 0018-9286
Wydawca: Institute of Electrical and Electronics Engineers

The turnpike property in semilinear control

Autorzy: Dario Pighin
Opublikowane w: ESAIM Control Optimization and Calculus of Variations, 2021, ISSN 1292-8119
Wydawca: EDP Sciences

Constrained control of gene-flow models

Autorzy: Idriss Mazari, Domènec Ruiz-Balet, Enrique Zuazua
Opublikowane w: Annales de l'Institut Henri Poincaré Analise Non Linéaire, 2022, ISSN 0294-1449
Wydawca: Elsevier BV

Nonuniqueness of minimizers for semilinear optimal control problems

Autorzy: Dario Pighin
Opublikowane w: Journal of the European Mathematical Society, Numer 14359855, 2022, ISSN 1435-9855
Wydawca: European Mathematical Society Publishing House
DOI: 10.4171/jems/1232

Flow decomposition for heat equations with memory

Autorzy: Wang, Gengsheng; Zhang, Yubiao; Zuazua, Enrique
Opublikowane w: Journal de Mathématiques Pures et Appliquées, Numer 00217824, 2022, Strona(/y) 183-215, ISSN 0021-7824
Wydawca: 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

Autorzy: Idriss Mazari, Domènec Ruiz-Balet
Opublikowane w: SIAM Journal on Applied Mathematics, Numer 81/1, 2021, Strona(/y) 153-172, ISSN 0036-1399
Wydawca: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m132818x

Model predictive control with random batch methods for a guiding problem

Autorzy: Dongnam Ko, Enrique Zuazua
Opublikowane w: Mathematical Models and Methods in the Applied Sciences, 2021, ISSN 0218-2025
Wydawca: World Scientific Publishing Co

Controllability of shadow reaction-diffusion systems

Autorzy: Víctor Hernández-Santamaría, Enrique Zuazua
Opublikowane w: Journal of Differential Equations, Numer 268/7, 2020, Strona(/y) 3781-3818, ISSN 0022-0396
Wydawca: Academic Press
DOI: 10.1016/j.jde.2019.10.012

Controllability of One-Dimensional Viscous Free Boundary Flows

Autorzy: Borjan Geshkovski, Enrique Zuazua
Opublikowane w: SIAM Journal on Control and Optimization, Numer 59/3, 2021, Strona(/y) 1830-1850, ISSN 0363-0129
Wydawca: Society for Industrial and Applied Mathematics
DOI: 10.1137/19m1285354

Control and Numerical approximation of Fractional Diffusion Equations

Autorzy: Umberto Biccari, Mahamadi Warma, Enrique Zuazua
Opublikowane w: Handbok of Numerical Analysis, 2022, ISBN 9780323853392
Wydawca: Elsevier
DOI: 10.1016/bs.hna.2021.12.001

Controllability Under Positivity Constraints of Multi-d Wave Equations

Autorzy: Dario Pighin, Enrique Zuazua
Opublikowane w: Trends in Control Theory and Partial Differential Equations, Numer 32, 2019, Strona(/y) 195-232, ISBN 978-3-030-17948-9
Wydawca: 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

Autorzy: M. Gugat, M. Schuster and E. Zuazua.
Opublikowane w: Stabilization of Distributed Parameter Systems: Design Methods and Applications, ICIAM 2019 SEMA SIMAI Springer Series, Numer 2, 2021, Strona(/y) 17-42, ISSN 2199-3041
Wydawca: Springer

Local Regularity for Fractional Heat Equations

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

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

Autorzy: Laurent Gosse, Enrique Zuazua
Opublikowane w: Innovative Algorithms and Analysis, Numer 16, 2017, Strona(/y) 197-227, ISBN 978-3-319-49261-2
Wydawca: Springer International Publishing
DOI: 10.1007/978-3-319-49262-9_7

A Parabolic Approach to the Control of Opinion Spreading

Autorzy: Domènec Ruiz-Balet, Enrique Zuazua
Opublikowane w: Applied Wave Mathematics II - Selected Topics in Solids, Fluids, and Mathematical Methods and Complexity, Numer 6, 2019, Strona(/y) 343-363, ISBN 978-3-030-29950-7
Wydawca: Springer International Publishing
DOI: 10.1007/978-3-030-29951-4_15

Averaged controllability in a long time horizon

Autorzy: M. Lazar, J. Lohéac
Opublikowane w: Ninth Conference on Applied Mathematics and Scientific Computing, 2018
Wydawca: Crosbi

Multilevel selective harmonic modulation by duality

Autorzy: Umberto Biccari, Enrique Zuazua
Opublikowane w: IFAC-PapersOnLine, Numer 24058963, 2022, Strona(/y) 56-61, ISSN 2405-8963
Wydawca: Elsevier
DOI: 10.1016/j.ifacol.2022.08.081

Optimal driving strategies for traffic control with autonomous vehicles

Autorzy: Thibault Liard; Raphael Stern; Maria Laura Delle Monache
Opublikowane w: IFAC-PapersOnLine, 2020, Strona(/y) 5332-5329
Wydawca: Elsevier
DOI: 10.1016/j.ifacol.2020.12.1219

The turnpike property in nonlinear optimal control — A geometric approach

Autorzy: Noboru Sakamoto, Dario Pighin, Enrique Zuazua
Opublikowane w: 2019 IEEE 58th Conference on Decision and Control (CDC), 2019, Strona(/y) 2422-2427, ISBN 978-1-7281-1398-2
Wydawca: IEEE
DOI: 10.1109/cdc40024.2019.9028863

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