Lionel Rosier

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Publications

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Determination of discontinuous diffusion coefficients for the heat equation on a tree-shaped network

Emmanuelle Crépeau , Lionel Rosier , Julie Valein

Inverse Problems, 2025, 41 (7), pp.075001. ⟨10.1088/1361-6420/ade3f9⟩

Article dans une revue hal-05464931v1
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Finite-time stabilization of an overhead crane with a flexible cable submitted to an affine tension

Marc Wijnand , Brigitte d'Andréa-Novel , Lionel Rosier

ESAIM: Control, Optimisation and Calculus of Variations, 2021, 27, 30p. / 94. ⟨10.1051/cocv/2021090⟩

Article dans une revue hal-03368719v1
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Well posedness of general cross-diffusion systems

Catherine Choquet , Carole Rosier , Lionel Rosier

Journal of Differential Equations, 2021, 300, pp.386-425. ⟨10.1016/j.jde.2021.08.001⟩

Article dans une revue hal-03328931v1
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Exact Controllability of nonlinear Heat equations in spaces of analytic functions

Camille Laurent , Lionel Rosier

Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2020, ⟨10.1016/j.anihpc.2020.03.001⟩

Article dans une revue hal-01955484v1
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Exact controllability of a linear Korteweg-de Vries equation by the flatness approach

Philippe Martin , Ivonne Rivas , Lionel Rosier , Pierre Rouchon

SIAM Journal on Control and Optimization, 2019, 57 (4), pp.2467-2486. ⟨10.1137/18M1181390⟩

Article dans une revue hal-01767971v2
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Boundary stabilization of quasilinear hyperbolic systems of balance laws: Exponential decay for small source terms

Martin Gugat , Vincent Perrollaz , Lionel Rosier

Journal of Evolution Equations, 2018, 18 (3), pp.1471-1500

Article dans une revue hal-01593773v1
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Controllability of the 1D Schrödinger equation using flatness

Philippe Martin , Lionel Rosier , Pierre Rouchon

Automatica, 2018, 91, pp.208 - 216. ⟨10.1016/j.automatica.2018.01.005⟩

Article dans une revue hal-01769227v1
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On Homogeneous Finite-Time Control for Linear Evolution Equation in Hilbert Space

Andrey Polyakov , Jean-Michel Coron , Lionel Rosier

IEEE Transactions on Automatic Control, 2018, 63 (9), pp.3143 - 3150. ⟨10.1109/TAC.2018.2797838⟩

Article dans une revue hal-01695475v1
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On the Benjamin-Bona-Mahony Equation with a Localized Damping

Lionel Rosier

Journal of Mathematical Study, 2016, 49, pp.195 - 204. ⟨10.4208/jms.v49n2.16.06⟩

Article dans une revue hal-01549581v1
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On the reachable states for the boundary control of the heat equation

Philippe Martin , Lionel Rosier , Pierre Rouchon

Applied Mathematics Research eXpress, 2016, 2, pp.181-216. ⟨10.1093/amrx/abv013⟩

Article dans une revue hal-01206378v1

Control of underwater vehicles in inviscid fluids II. Flows with vorticity

Rodrigo Lecaros , Lionel Rosier

ESAIM: Control, Optimisation and Calculus of Variations, 2016, 22, pp.1325-1352. ⟨10.1051/cocv/2016040⟩

Article dans une revue hal-01549589v1

Flatness and null controllability of 1-D parabolic equations

Philippe Martin , Lionel Rosier , Pierre Rouchon

PAMM, 2016, 16 (1), pp.47-50. ⟨10.1002/pamm.201610013⟩

Article dans une revue hal-01486915v1
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NULL CONTROLLABILITY OF ONE-DIMENSIONAL PARABOLIC EQUATIONS BY THE FLATNESS APPROACH

Philippe Martin , Lionel Rosier , Pierre Rouchon

SIAM Journal on Control and Optimization, 2016, 54 (1), pp.198-220

Article dans une revue hal-01073404v2
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Finite-time stabilization of a network of strings

Fatiha Alabau-Boussouira , Vincent Perrollaz , Lionel Rosier

Mathematical Control and Related Fields, 2015, 5 (4), pp.721-742. ⟨10.3934/mcrf.2015.5.721⟩

Article dans une revue hal-01071150v1

Identifiability and stability of an inverse problem involving a Fredholm equation

Carlos Conca , Rodrigo Lecaros , Ortega Jaime , Lionel Rosier

Chinese Annals of Mathematics - Series B, 2015, 36 (5), pp.737-762. ⟨10.1007/s11401-015-0974-9⟩

Article dans une revue hal-01261672v1
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Control and Stabilization of the Benjamin-Ono Equation on a Periodic Domain

Felipe Linares , Lionel Rosier

Transactions of the American Mathematical Society, 2015, 367 (7), pp.4595-4626

Article dans une revue hal-00734445v1
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Control and Stabilization of the Benjamin-Ono Equation in ${L^2({\mathbb{T})}}$

Camille Laurent , Felipe Linares , Lionel Rosier

Archive for Rational Mechanics and Analysis, 2015, 218 (3), pp.1531 - 1575. ⟨10.1007/s00205-015-0887-5⟩

Article dans une revue hal-00945105v1

Control and stabilization of the Benjamin-Ono equation on a periodic domain

Felipe Linares , Lionel Rosier

Transactions American Mathematical Society, 2015, 367 (7), pp.4595-4626

Article dans une revue hal-01261645v1
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Internal controllability of the Korteweg-de Vries equation on a bounded domain

Roberto Capistrano Filho , Ademir Pazoto , Lionel Rosier

ESAIM: Control, Optimisation and Calculus of Variations, 2015, 21, pp.1076-1107

Article dans une revue hal-00936728v1

Internal controllability of the Korteweg-de Vries equation on a bounded domain

Roberto Capistrano Filho , Ademir Pazoto , Lionel Rosier

ESAIM: Control, Optimisation and Calculus of Variations, 2015, 21 (4), pp.1076-1107. ⟨10.1051/cocv/2014059⟩

Article dans une revue hal-01261677v1
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Null controllability of the 2D heat equation using flatness

Philippe Martin , Lionel Rosier , Pierre Rouchon

Automatica, 2014, 50 (12), pp.3067--3076. ⟨10.1016/j.automatica.2014.10.049⟩

Article dans une revue hal-01112044v1
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Control of underwater vehicles in inviscid fluids. I: Irrotational flows.

Rodrigo Lecaros , Lionel Rosier

ESAIM: Control, Optimisation and Calculus of Variations, 2014, 20 (3), pp.662-703. ⟨10.1051/cocv/2013079⟩

Article dans une revue hal-00797991v1
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Finite-time stabilization of 2*2 hyperbolic systems on tree-shaped networks

Vincent Perrollaz , Lionel Rosier

SIAM Journal on Control and Optimization, 2014, 52 (1), pp.143-163

Article dans une revue hal-00793728v1

Determination of the calcium channel distribution in the olfactory system

Carlos Conca , Rodrigo Lecaros , Jaime Ortega , Lionel Rosier

Journal of Inverse and Ill-posed Problems, 2014, 22 (5), pp.671--711. ⟨10.1515/jip-2013-0033⟩

Article dans une revue hal-01112038v1

Null controllability of a system of viscoelasticity with a moving control

Felipe Chaves , Lionel Rosier , Enrique Zuazua

Journal de Mathématiques Pures et Appliquées, 2014, 101 (9), pp.198--222

Article dans une revue hal-01112012v1
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On the control of the motion of a boat

Olivier Glass , Lionel Rosier

Mathematical Models and Methods in Applied Sciences, 2013, 23 (4), pp.617-670

Article dans une revue hal-00580724v1
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Unique continuation property and control for the Benjamin-Bona-Mahony equation on the torus

Lionel Rosier , Bing-Yu Zhang

Journal of Differential Equations, 2013, 254 (1), pp.141-178. ⟨10.1016/j.jde.2012.08.014⟩

Article dans une revue hal-00669334v1
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Null controllability of the structurally damped wave equation with moving point control

Philippe Martin , Lionel Rosier , Pierre Rouchon

SIAM Journal on Control and Optimization, 2013, 51 (1), pp.660-684. ⟨10.1137/110856150⟩

Article dans une revue hal-00829857v1
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Inverse problem for the heat equation and the Schrodinger equation on a tree

Liviu I. Ignat , Ademir F. Pazoto , Lionel Rosier

Inverse Problems, 2012, 28, pp.015011

Article dans une revue hal-00595147v1
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Control and Stabilization of the Nonlinear Schroedinger Equation on Rectangles

Lionel Rosier , Bing-Yu Zhang

Mathematical Models and Methods in Applied Sciences, 2010, 20 (12), pp.2293-2347. ⟨10.1142/S0218202510004933⟩

Article dans une revue hal-00453074v1
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Null controllability of a parabolic system with a cubic coupling term

Jean-Michel Coron , Sergio Guerrero , Lionel Rosier

SIAM Journal on Control and Optimization, 2010, 48 (8), pp.5629-5653. ⟨10.1137/100784539⟩

Article dans une revue hal-00451864v1
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Uniform stabilization in weighted Sobolev spaces for the KdV equation posed on the half-line

Ademir F. Pazoto , Lionel Rosier

Discrete and Continuous Dynamical Systems - Series B, 2010, 14 (4), pp.1511-1535. ⟨10.3934/dcdsb.2010.14.1511⟩

Article dans une revue hal-00453183v1
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Control and Stabilization of the Korteweg-de Vries Equation on a Periodic Domain

Camille Laurent , Lionel Rosier , Bing-Yu Zhang

Communications in Partial Differential Equations, 2010, 35 (4), pp.707-744. ⟨10.1080/03605300903585336⟩

Article dans une revue hal-00386452v1

Control and stabilization of the Korteweg-de Vries equation : recent progresses

Lionel Rosier , Bing-Yu Zhang

Journal of Systems Science and Complexity, 2009, 22 (4), pp.647-682. ⟨10.1007/s11424-009-9194-2⟩

Article dans une revue istex hal-00600652v1

Smooth solutions for the motion of a ball in an incompressible perfect fluid

Carole Rosier , Lionel Rosier

Journal of Functional Analysis, 2009, 256 (5), pp.1618-1641. ⟨10.1016/j.jfa.2008.10.024⟩

Article dans une revue istex hal-00600982v1

Exact boundary controllability of the nonlinear Schrödinger equation

Lionel Rosier , Bing-Yu Zhang

Journal of Differential Equations, 2009, 246 (10), pp.4129-4153. ⟨10.1016/j.jde.2008.11.004⟩

Article dans une revue istex hal-00600680v1

Local exact controllability and stabilizability of the nonlinear Schrödinger equation on a bounded interval

Lionel Rosier , Bing-Yu Zhang

SIAM Journal on Control and Optimization, 2009, 48 (2), pp.972-992. ⟨10.1137/070709578⟩

Article dans une revue hal-00600889v1

Control and stabilization of a family of Boussinesq systems

Sorin Micu , Jaime Ortega , Lionel Rosier , Bing-Yu Zhang

Discrete and Continuous Dynamical Systems - Series S, 2009, 24 (2), pp.273-313. ⟨10.3934/dcds.2009.24.273⟩

Article dans une revue hal-00600641v1

Null controllability of the complex Ginzburg-Landau equation

Lionel Rosier , Bing-Yu Zhang

Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2009, 26 (2), pp.649-673. ⟨10.1016/j.anihpc.2008.03.003⟩

Article dans une revue hal-00600951v1

Stabilization of a Boussinesq system of KdV-KdV type

Ademir F. Pazoto , Lionel Rosier

Systems and Control Letters, 2008, 57 (8), pp.595-601. ⟨10.1016/j.sysconle.2007.12.009⟩

Article dans une revue istex hal-00600987v1

Inverse problems for the Schrödinger equation via Carleman inequalities with degenerate weights

Alberto Mercado , Axel Osses , Lionel Rosier

Inverse Problems, 2008, 24 (1), pp.1-18. ⟨10.1088/0266-5611/24/1/015017⟩

Article dans une revue hal-00600940v1

Carleman inequalities and inverse problems for the Schrödinger equation

Alberto Mercado , Axel Osses , Lionel Rosier

Comptes Rendus. Mathématique, 2008, 346 (1-2), pp.53-58. ⟨10.1016/j.crma.2007.11.014⟩

Article dans une revue hal-00600668v1

Detecting a moving obstacle in an ideal fluid by a boundary measurement

Carlos Conca , Patricio Cumsille , Jaime Ortega , Lionel Rosier

Comptes Rendus. Mathématique, 2008, 346 (15-16), pp.839-844. ⟨10.1016/j.crma.2008.06.007⟩

Article dans une revue hal-00600924v1

Controllability of the Ginzburg-Landau equation

Lionel Rosier , Bing-Yu Zhang

Comptes Rendus. Mathématique, 2008, 346 (3-4), pp.167-172. ⟨10.1016/j.crma.2007.11.031⟩

Article dans une revue istex hal-00600892v1

On the motion of a rigid body immersed in a bidimensional incompressible perfect fluid

Takéo Takahashi , Lionel Rosier , Jaime Ortega

Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2007, pp.139-165. ⟨10.1016/j.anihpc.2005.12.004⟩

Article dans une revue hal-00142401v1
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Chaos Synchronization for a class of discrete dynamical systems on the N- dimensional torus

Lionel Rosier , Gilles Millérioux , Gérard Bloch

Systems and Control Letters, 2006, 55 (3), pp.223-231. ⟨10.1016/j.sysconle.2005.07.003⟩

Article dans une revue hal-00114839v1

Global stabilization of the generalized Korteweg-de Vries equation posed on a finite domain

Lionel Rosier , Bing-Yu Zhang

SIAM Journal on Control and Optimization, 2006, 45 (3), pp.927-956

Article dans une revue hal-00149689v1

Classical solutions for the equations modelling the motion of a ball in a bidimensional incompressible perfect fluid

Takéo Takahashi , Lionel Rosier , Jaime Ortega

ESAIM: Mathematical Modelling and Numerical Analysis, 2005, 39, pp.79-108. ⟨10.1051/m2an:2005002⟩

Article dans une revue hal-00091625v1

On the global existence of solutions for a non-local problem occurring in statistical mechanics

Carole Rosier , Lionel Rosier

Nonlinear Analysis: Theory, Methods and Applications, 2005, 60 (8), pp.1509-1531. ⟨10.1016/j.na.2004.11.021⟩

Article dans une revue istex hal-00146466v1

Control of the surface of a fluid by a wavemaker

Lionel Rosier

ESAIM: Control, Optimisation and Calculus of Variations, 2004, 10 (3), pp.346-380

Article dans une revue hal-00146833v1
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Bounded State Reconstruction Error for LPV Systems With Estimated Parameters

Gilles Millérioux , Lionel Rosier , Gérard Bloch , Jamal Daafouz

IEEE Transactions on Automatic Control, 2004, 49 (8), pp.1385-1389. ⟨10.1109/TAC.2004.832669⟩

Article dans une revue hal-00121005v1

Chaos synchronization on the N-torus and cryptography

Lionel Rosier , Gilles Millérioux , Gérard Bloch

Comptes Rendus. Mécanique, 2004, 332 (12), pp.969-972. ⟨10.1016/j.crme.2004.09.001⟩

Article dans une revue istex hal-00405335v1
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Active control of the axisymmetric vibration modes of a tom-tom drum

Marc Wijnand , Brigitte d'Andréa-Novel , Benoît Fabre , Thomas Hélie , Lionel Rosier et al.

58th IEEE Conference on Decision and Control, Dec 2019, Nice, France. pp.6887-6892, ⟨10.1109/CDC40024.2019.9029960⟩

Communication dans un congrès hal-02296092v1
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On Boundary Finite-Time Feedback Control for Heat Equation

Andrey Polyakov , Jean-Michel Coron , Lionel Rosier

20th IFAC World Congress, IFAC, Jul 2017, Toulouse, France

Communication dans un congrès hal-01505482v1
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On Finite-Time Stabilization of Evolution Equations: A Homogeneous Approach

Andrey Polyakov , Jean-Michel Coron , Lionel Rosier

IEEE Conference on Decision and Control 2016, Dec 2016, Las Vegas, United States

Communication dans un congrès hal-01371089v1

Homogeneity applied to the controllability of a system of parabolic equations

Jean-Michel Coron , Sergio Guerrero , Philippe Martin , Lionel Rosier

2015 European Control Conference (ECC 2015), Jul 2015, Linz, Austria. pp.2470-2475, ⟨10.1109/ECC.2015.7330909⟩

Communication dans un congrès hal-01263657v1

Null controllability using flatness: a case study of a 1-D heat equation with discontinuous coefficients

Philippe Martin , Lionel Rosier , Pierre Rouchon

2015 European Control Conference (ECC 2015), Jul 2015, Linz, Austria. pp.55-60, ⟨10.1109/ECC.2015.7330525⟩

Communication dans un congrès hal-01263652v1

Controllability of the 1D Schrödinger equation by the flatness approach

Philippe Martin , Lionel Rosier , Pierre Rouchon

19th World Congress of the International Federation of Automatic Control (IFAC), Aug 2014, Cape Town, South Africa. ⟨10.3182/20140824-6-ZA-1003.00442⟩

Communication dans un congrès hal-01112047v1

Null controllability of the 1D heat equation using flatness

Philippe Martin , Lionel Rosier , Pierre Rouchon

1st IFAC workshop on Control of Systems Governed by Partial Differential Equations (CPDE2013), Sep 2013, Paris, France. pp.1-7

Communication dans un congrès hal-00971487v1

Null controllability of the 2D heat equation using flatness

Philippe Martin , Lionel Rosier , Pierre Rouchon

Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on, Dec 2013, Firenze, Italy. pp.3738 - 3743, ⟨10.1109/CDC.2013.6760459⟩

Communication dans un congrès hal-00971484v1

Global solutions for a problem modeling the dynamics of a system of self-gravitating Brownian particles

Carole Rosier , Lionel Rosier

Nonlocal elliptic and parabolic problems, 2004, Bedlewo, Poland. pp.277-286

Communication dans un congrès hal-00146771v1
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Contrôle en temps fini de systèmes vibratoires hybrides

Marc Wijnand , Brigitte d'Andréa-Novel , Thomas Hélie , Lionel Rosier , David Roze

Visite HCERES – UMR STMS, Equipe S3AM, Nov 2023, Paris, France

Poster de conférence hal-04291878v1
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Contrôle actif des modes axisymétriques d'un tom : Système Hamiltonien à Ports et perspectives

Marc Wijnand , Brigitte d'Andréa-Novel , Benoît Fabre , Thomas Hélie , Lionel Rosier et al.

Journées Jeunes Chercheurs en Audition, Acoustique musicale et Signal audio (JJCAAS), Jun 2019, Le Mans, France

Poster de conférence hal-02169147v1

Controllability of some evolution equations by the flatness approach

Philippe Martin , Lionel Rosier , Pierre Rouchon

Trends in Control and Inverse Problems, 2018

Chapitre d'ouvrage hal-01956031v1
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Controllability of Parabolic Equations by the Flatness Approach

Philippe Martin , Lionel Rosier , Pierre Rouchon

Evolution Equations: Long Time Behavior and Control, Cambridge University Press, pp.161-178, 2017, ⟨10.1017/9781108304023.009⟩

Chapitre d'ouvrage hal-01769232v1
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Chaotic dynamical systems associated with tilings of ${R}^{N}$

Lionel Rosier

Chaos Synchronization and Cryptography for Secure Communications: Applications for Encryption, IGI Global, pp.19-41, 2010, ⟨10.4018/978-1-61520-737-4.ch002⟩

Chapitre d'ouvrage hal-00453068v1
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ON THE CRITICAL LENGTHS AND CONTROLLABILITY OF THE KAWAHARA EQUATION

Fagner D. Araruna , Gleb G. Doronin , Lionel Rosier

2025

Pré-publication, Document de travail hal-05111010v1
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Stability of discontinuous diffusion coefficients for the heat equation on a star-shaped tree

Emmanuelle Crépeau , Lionel Rosier , Julie Valein

2025

Pré-publication, Document de travail hal-04931176v1
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Exact controllability of anisotropic 1D partial differential equations in spaces of analytic functions

Camille Laurent , Ivonne Rivas , Lionel Rosier

2025

Pré-publication, Document de travail hal-04931607v1
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High-order conditions for an analytic function to be locally positive definite

Lionel Rosier

2025

Pré-publication, Document de travail hal-05051622v1
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High-order conditions for an analytic function to be locally positive definite

Lionel Rosier

2024

Pré-publication, Document de travail hal-04796631v1
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CONTROL OF A BOUSSINESQ SYSTEM OF KDV-KDV TYPE ON A BOUNDED INTERVAL

Roberto A Capistrano-Filho , Ademir F Pazoto , Lionel Rosier

2023

Pré-publication, Document de travail hal-04123348v1
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NULL CONTROLLABILITY OF STRONGLY DEGENERATE PARABOLIC EQUATIONS

Antoine Benoit , Romain Loyer , Lionel Rosier

2022

Pré-publication, Document de travail hal-03789863v1
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NUMERICAL CONTROL OF THE WAVE EQUATION AND HUYGENS' PRINCIPLE

Carole Rosier , Lionel Rosier

2021

Pré-publication, Document de travail hal-03482624v1
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Reachable states for the distributed control of the heat equation

Mo Chen , Lionel Rosier

2021

Pré-publication, Document de travail hal-03259878v1
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Numerical control of a semilinear wave equation on an interval

M M Cavalcanti , V N Domingos Cavalcanti , Carole Rosier , Lionel Rosier

2021

Pré-publication, Document de travail hal-03369560v1
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Finite-time stabilization of an overhead crane with a flexible cable submitted to an affine tension

Marc Wijnand , Brigitte d'Andréa-Novel , Lionel Rosier

2021

Pré-publication, Document de travail hal-03141490v1
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NULL CONTROLLABILITY OF THE STRUCTURALLY DAMPED WAVE EQUATION ON THE TWO-DIMENSIONAL TORUS

Patricio Guzmán , Lionel Rosier

2019

Pré-publication, Document de travail hal-02159903v1
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Exact controllability of the linear Zakharov-Kuznetsov equation

Mo Chen , Lionel Rosier

2019

Pré-publication, Document de travail hal-02393893v1
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FINITE-TIME STABILIZATION OF AN OVERHEAD CRANE WITH A FLEXIBLE CABLE

Brigitte d'Andréa-Novel , Iván Moyano , Lionel Rosier

2018

Pré-publication, Document de travail hal-01809806v1
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On the Benjamin-Bona-Mahony equation with a localized damping

Lionel Rosier

2016

Pré-publication, Document de travail hal-01323704v1
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CONTROL OF UNDERWATER VEHICLES IN INVISCID FLUIDS–II. FLOWS WITH VORTICITY

Rodrigo Lecaros , Lionel Rosier

2016

Pré-publication, Document de travail hal-01323698v1