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Number of documents

69

Lionel Rosier


Journal articles49 documents

  • Philippe Martin, Ivonne Rivas, Lionel Rosier, Pierre Rouchon. Exact controllability of a linear Korteweg-de Vries equation by the flatness approach. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2019, 57 (4), pp.2467-2486. ⟨10.1137/18M1181390⟩. ⟨hal-01767971v2⟩
  • Philippe Martin, Lionel Rosier, Pierre Rouchon. Controllability of the 1D Schrödinger equation using flatness. Automatica, Elsevier, 2018, 91, pp.208 - 216. ⟨10.1016/j.automatica.2018.01.005⟩. ⟨hal-01769227⟩
  • Andrey Polyakov, Jean-Michel Coron, Lionel Rosier. On Homogeneous Finite-Time Control for Linear Evolution Equation in Hilbert Space. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2018, 63 (9), pp.3143 - 3150. ⟨10.1109/TAC.2018.2797838⟩. ⟨hal-01695475⟩
  • Martin Gugat, Vincent Perrollaz, Lionel Rosier. Boundary stabilization of quasilinear hyperbolic systems of balance laws: Exponential decay for small source terms. Journal of Evolution Equations, Springer Verlag, 2018, 18 (3), pp.1471-1500. ⟨hal-01593773⟩
  • Lionel Rosier. On the Benjamin-Bona-Mahony Equation with a Localized Damping. Journal of Mathematical Study, Global Science Press, 2016, 49, pp.195 - 204. ⟨10.4208/jms.v49n2.16.06⟩. ⟨hal-01549581⟩
  • Rodrigo Lecaros, Lionel Rosier. Control of underwater vehicles in inviscid fluids II. Flows with vorticity. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2016, 22, pp.1325-1352. ⟨10.1051/cocv/2016040⟩. ⟨hal-01549589⟩
  • Philippe Martin, Lionel Rosier, Pierre Rouchon. On the reachable states for the boundary control of the heat equation. Applied Mathematics Research eXpress, Oxford University Press (OUP): Policy H - Oxford Open Option A, 2016, 2, pp.181-216. ⟨10.1093/amrx/abv013⟩. ⟨hal-01206378⟩
  • Philippe Martin, Lionel Rosier, Pierre Rouchon. NULL CONTROLLABILITY OF ONE-DIMENSIONAL PARABOLIC EQUATIONS BY THE FLATNESS APPROACH. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2016, 54 (1), pp.198-220. ⟨hal-01073404v2⟩
  • Philippe Martin, Lionel Rosier, Pierre Rouchon. Flatness and null controllability of 1-D parabolic equations. PAMM, Wiley-VCH Verlag, 2016, 16 (1), pp.47-50. ⟨10.1002/pamm.201610013⟩. ⟨hal-01486915⟩
  • Carlos Conca, Rodrigo Lecaros, Ortega Jaime, Lionel Rosier. Identifiability and stability of an inverse problem involving a Fredholm equation. Chinese Annals of Mathematics - Series B, Springer Verlag, 2015, 36 (5), pp.737-762. ⟨10.1007/s11401-015-0974-9⟩. ⟨hal-01261672⟩
  • Camille Laurent, Felipe Linares, Lionel Rosier. Control and Stabilization of the Benjamin-Ono Equation in ${L^2({\mathbb{T})}}$. Archive for Rational Mechanics and Analysis, Springer Verlag, 2015, 218 (3), pp.1531 - 1575. ⟨10.1007/s00205-015-0887-5⟩. ⟨hal-00945105⟩
  • Felipe Linares, Lionel Rosier. Control and stabilization of the Benjamin-Ono equation on a periodic domain. Transactions American Mathematical Society, American Mathematical Society, 2015, 367 (7), pp.4595-4626. ⟨hal-01261645⟩
  • Fatiha Alabau-Boussouira, Vincent Perrollaz, Lionel Rosier. Finite-time stabilization of a network of strings. Mathematical Control and Related Fields, AIMS, 2015, 5 (4), pp.721-742. ⟨10.3934/mcrf.2015.5.721⟩. ⟨hal-01071150⟩
  • Felipe Linares, Lionel Rosier. Control and Stabilization of the Benjamin-Ono Equation on a Periodic Domain. Transactions of the American Mathematical Society, American Mathematical Society, 2015, 367 (7), pp.4595-4626. ⟨hal-00734445⟩
  • Roberto Capistrano Filho, Ademir Pazoto, Lionel Rosier. Internal controllability of the Korteweg-de Vries equation on a bounded domain. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2015, 21 (4), pp.1076-1107. ⟨10.1051/cocv/2014059⟩. ⟨hal-01261677⟩
  • Roberto Capistrano Filho, Ademir Pazoto, Lionel Rosier. Internal controllability of the Korteweg-de Vries equation on a bounded domain. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2015, 21, pp.1076-1107. ⟨hal-00936728⟩
  • Philippe Martin, Lionel Rosier, Pierre Rouchon. Null controllability of the 2D heat equation using flatness. Automatica, Elsevier, 2014, 50 (12), pp.3067--3076. ⟨10.1016/j.automatica.2014.10.049⟩. ⟨hal-01112044⟩
  • Vincent Perrollaz, Lionel Rosier. Finite-time stabilization of 2*2 hyperbolic systems on tree-shaped networks. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2014, 52 (1), pp.143-163. ⟨hal-00793728⟩
  • Vincent Perrolaz, Lionel Rosier. Finite-time stabilization of 2 x 2 hyperbolic systems on tree-shaped networks. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2014, 52 (1), pp.143--163. ⟨hal-01112021⟩
  • Rodrigo Lecaros, Lionel Rosier. Control of underwater vehicles in inviscid fluids. I: Irrotational flows.. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2014, 20 (3), pp.662-703. ⟨10.1051/cocv/2013079⟩. ⟨hal-00797991⟩
  • Felipe Chaves, Lionel Rosier, Enrique Zuazua. Null controllability of a system of viscoelasticity with a moving control. Journal de Mathématiques Pures et Appliquées, Elsevier, 2014, 101 (9), pp.198--222. ⟨hal-01112012⟩
  • Carlos Conca, Rodrigo Lecaros, Jaime Ortega, Lionel Rosier. Determination of the calcium channel distribution in the olfactory system. Journal of Inverse and Ill-posed Problems, De Gruyter, 2014, 22 (5), pp.671--711. ⟨10.1515/jip-2013-0033⟩. ⟨hal-01112038⟩
  • Olivier Glass, Lionel Rosier. On the control of the motion of a boat. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2013, 23 (4), pp.617-670. ⟨hal-00580724⟩
  • Lionel Rosier, Bing-Yu Zhang. Unique continuation property and control for the Benjamin-Bona-Mahony equation on the torus. Journal of Differential Equations, Elsevier, 2013, 254 (1), pp.141-178. ⟨10.1016/j.jde.2012.08.014⟩. ⟨hal-00669334⟩
  • Philippe Martin, Lionel Rosier, Pierre Rouchon. Null controllability of the structurally damped wave equation with moving point control. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2013, 51 (1), pp.660-684. ⟨10.1137/110856150⟩. ⟨hal-00829857⟩
  • Liviu Ignat, Ademir Pazoto, Lionel Rosier. Inverse problem for the heat equation and the Schrodinger equation on a tree. Inverse Problems, IOP Publishing, 2012, 28, pp.015011. ⟨hal-00595147⟩
  • Lionel Rosier, Bing-Yu Zhang. Control and Stabilization of the Nonlinear Schroedinger Equation on Rectangles. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2010, 20 (12), pp.2293-2347. ⟨10.1142/S0218202510004933⟩. ⟨hal-00453074⟩
  • Jean-Michel Coron, Sergio Guerrero, Lionel Rosier. Null controllability of a parabolic system with a cubic coupling term. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2010, 48 (8), pp.5629-5653. ⟨10.1137/100784539⟩. ⟨hal-00451864⟩
  • Camille Laurent, Lionel Rosier, Bing-Yu Zhang. Control and Stabilization of the Korteweg-de Vries Equation on a Periodic Domain. Communications in Partial Differential Equations, Taylor & Francis, 2010, 35 (4), pp.707-744. ⟨10.1080/03605300903585336⟩. ⟨hal-00386452⟩
  • Ademir Pazoto, Lionel Rosier. Uniform stabilization in weighted Sobolev spaces for the KdV equation posed on the half-line. Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, 2010, 14 (4), pp.1511-1535. ⟨10.3934/dcdsb.2010.14.1511⟩. ⟨hal-00453183⟩
  • Sorin Micu, Jaime Ortega, Lionel Rosier, Bing-Yu Zhang. Control and stabilization of a family of Boussinesq systems. Discrete and Continuous Dynamical Systems - Series S, American Institute of Mathematical Sciences, 2009, 24 (2), pp.273-313. ⟨10.3934/dcds.2009.24.273⟩. ⟨hal-00600641⟩
  • Lionel Rosier, Bing-Yu Zhang. Null controllability of the complex Ginzburg-Landau equation. Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, Elsevier, 2009, 26 (2), pp.649-673. ⟨10.1016/j.anihpc.2008.03.003⟩. ⟨hal-00600951⟩
  • Lionel Rosier, Bing-Yu Zhang. Local exact controllability and stabilizability of the nonlinear Schrödinger equation on a bounded interval. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2009, 48 (2), pp.972-992. ⟨10.1137/070709578⟩. ⟨hal-00600889⟩
  • Lionel Rosier, Bing-Yu Zhang. Exact boundary controllability of the nonlinear Schrödinger equation. Journal of Differential Equations, Elsevier, 2009, 246 (10), pp.4129-4153. ⟨10.1016/j.jde.2008.11.004⟩. ⟨hal-00600680⟩
  • Carole Rosier, Lionel Rosier. Smooth solutions for the motion of a ball in an incompressible perfect fluid. Journal of Functional Analysis, Elsevier, 2009, 256 (5), pp.1618-1641. ⟨10.1016/j.jfa.2008.10.024⟩. ⟨hal-00600982⟩
  • Lionel Rosier, Bing-Yu Zhang. Control and stabilization of the Korteweg-de Vries equation : recent progresses. Journal of Systems Science and Complexity, Springer Verlag (Germany), 2009, 22 (4), pp.647-682. ⟨10.1007/s11424-009-9194-2⟩. ⟨hal-00600652⟩
  • Lionel Rosier, Bing-Yu Zhang. Controllability of the Ginzburg-Landau equation. Comptes Rendus Mathématique, Elsevier Masson, 2008, 346 (3-4), pp.167-172. ⟨10.1016/j.crma.2007.11.031⟩. ⟨hal-00600892⟩
  • Alberto Mercado, Axel Osses, Lionel Rosier. Carleman inequalities and inverse problems for the Schrödinger equation. Comptes Rendus Mathématique, Elsevier Masson, 2008, 346 (1-2), pp.53-58. ⟨10.1016/j.crma.2007.11.014⟩. ⟨hal-00600668⟩
  • Carlos Conca, Patricio Cumsille, Jaime Ortega, Lionel Rosier. Detecting a moving obstacle in an ideal fluid by a boundary measurement. Comptes Rendus Mathématique, Elsevier Masson, 2008, 346 (15-16), pp.839-844. ⟨10.1016/j.crma.2008.06.007⟩. ⟨hal-00600924⟩
  • Alberto Mercado, Axel Osses, Lionel Rosier. Inverse problems for the Schrödinger equation via Carleman inequalities with degenerate weights. Inverse Problems, IOP Publishing, 2008, 24 (1), pp.1-18. ⟨10.1088/0266-5611/24/1/015017⟩. ⟨hal-00600940⟩
  • Ademir Pazoto, Lionel Rosier. Stabilization of a Boussinesq system of KdV-KdV type. Systems and Control Letters, Elsevier, 2008, 57 (8), pp.595-601. ⟨10.1016/j.sysconle.2007.12.009⟩. ⟨hal-00600987⟩
  • Takéo Takahashi, Lionel Rosier, Jaime Ortega. On the motion of a rigid body immersed in a bidimensional incompressible perfect fluid. Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, Elsevier, 2007, pp.139-165. ⟨hal-00142401⟩
  • Lionel Rosier, Bing-Yu Zhang. Global stabilization of the generalized Korteweg-de Vries equation posed on a finite domain. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2006, 45 (3), pp.927-956. ⟨hal-00149689⟩
  • Lionel Rosier, Gilles Millérioux, Gérard Bloch. Chaos Synchronization for a class of discrete dynamical systems on the N- dimensional torus. Systems and Control Letters, Elsevier, 2006, 55 (3), pp.223-231. ⟨10.1016/j.sysconle.2005.07.003⟩. ⟨hal-00114839⟩
  • Takéo Takahashi, Lionel Rosier, Jaime Ortega. Classical solutions for the equations modelling the motion of a ball in a bidimensional incompressible perfect fluid. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2005, 39, pp.79-108. ⟨hal-00091625⟩
  • Carole Rosier, Lionel Rosier. On the global existence of solutions for a non-local problem occurring in statistical mechanics. Nonlinear Analysis: Theory, Methods and Applications, Elsevier, 2005, 60 (8), pp.1509-1531. ⟨hal-00146466⟩
  • Lionel Rosier. Control of the surface of a fluid by a wavemaker. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2004, 10 (3), pp.346-380. ⟨hal-00146833⟩
  • Lionel Rosier, Gilles Millérioux, Gérard Bloch. Chaos synchronization on the N-torus and cryptography. Comptes Rendus Mécanique, Elsevier Masson, 2004, 332 (12), pp.969-972. ⟨10.1016/j.crme.2004.09.001⟩. ⟨hal-00405335⟩
  • Gilles Millérioux, Lionel Rosier, Gérard Bloch, Jamal Daafouz. Bounded State Reconstruction Error for LPV Systems With Estimated Parameters. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2004, 49 (8), pp.1385-1389. ⟨10.1109/TAC.2004.832669⟩. ⟨hal-00121005⟩

Conference papers9 documents

  • Marc Wijnand, Brigitte d'Andréa-Novel, Benoît Fabre, Thomas Hélie, Lionel Rosier, et al.. Active control of the axisymmetric vibration modes of a tom-tom drum. 58th IEEE Conference on Decision and Control, Dec 2019, Nice, France. pp.6887-6892, ⟨10.1109/CDC40024.2019.9029960⟩. ⟨hal-02296092⟩
  • Andrey Polyakov, Jean-Michel Coron, Lionel Rosier. On Boundary Finite-Time Feedback Control for Heat Equation. 20th IFAC World Congress, IFAC, Jul 2017, Toulouse, France. ⟨hal-01505482⟩
  • Andrey Polyakov, Jean-Michel Coron, Lionel Rosier. On Finite-Time Stabilization of Evolution Equations: A Homogeneous Approach. IEEE Conference on Decision and Control 2016, Dec 2016, Las Vegas, United States. ⟨hal-01371089⟩
  • Jean-Michel Coron, Sergio Guerrero, Philippe Martin, Lionel Rosier. Homogeneity applied to the controllability of a system of parabolic equations. 2015 European Control Conference (ECC 2015), Jul 2015, Linz, Austria. pp.2470-2475, ⟨10.1109/ECC.2015.7330909⟩. ⟨hal-01263657⟩
  • Philippe Martin, Lionel Rosier, Pierre Rouchon. Null controllability using flatness: a case study of a 1-D heat equation with discontinuous coefficients. 2015 European Control Conference (ECC 2015), Jul 2015, Linz, Austria. pp.55-60, ⟨10.1109/ECC.2015.7330525⟩. ⟨hal-01263652⟩
  • Philippe Martin, Lionel Rosier, Pierre Rouchon. Controllability of the 1D Schrödinger equation by the flatness approach. 19th World Congress of the International Federation of Automatic Control (IFAC), Aug 2014, Cape Town, South Africa. ⟨10.3182/20140824-6-ZA-1003.00442⟩. ⟨hal-01112047⟩
  • Philippe Martin, Lionel Rosier, Pierre Rouchon. Null controllability of the 1D heat equation using flatness. 1st IFAC workshop on Control of Systems Governed by Partial Differential Equations (CPDE2013), Sep 2013, Paris, France. pp.1-7. ⟨hal-00971487⟩
  • Philippe Martin, Lionel Rosier, Pierre Rouchon. Null controllability of the 2D heat equation using flatness. Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on, Dec 2013, Firenze, Italy. pp.3738 - 3743, ⟨10.1109/CDC.2013.6760459⟩. ⟨hal-00971484⟩
  • Carole Rosier, Lionel Rosier. Global solutions for a problem modeling the dynamics of a system of self-gravitating Brownian particles. Nonlocal elliptic and parabolic problems, 2004, Bedlewo, Poland. pp.277-286. ⟨hal-00146771⟩

Poster communications1 document

  • Marc Wijnand, Brigitte d'Andréa-Novel, Benoît Fabre, Thomas Hélie, Lionel Rosier, et al.. Contrôle actif des modes axisymétriques d'un tom : Système Hamiltonien à Ports et perspectives. Journées Jeunes Chercheurs en Audition, Acoustique musicale et Signal audio (JJCAAS), Jun 2019, Le Mans, France. ⟨hal-02169147⟩

Books1 document

  • Lionel Rosier, Andrea Bacciotti. Liapunov functions and stability in control theory. Second edition. Springer Verlag, xiv-237 p., 2005. ⟨hal-00139067⟩

Book sections3 documents

  • Philippe Martin, Lionel Rosier, Pierre Rouchon. Controllability of some evolution equations by the flatness approach. Trends in Control and Inverse Problems, 2018. ⟨hal-01956031⟩
  • Philippe Martin, Lionel Rosier, Pierre Rouchon. Controllability of Parabolic Equations by the Flatness Approach. Evolution Equations: Long Time Behavior and Control, Cambridge University Press, pp.161-178, 2017, ⟨10.1017/9781108304023.009⟩. ⟨hal-01769232⟩
  • Lionel Rosier. Chaotic dynamical systems associated with tilings of ${R}^{N}$. Chaos Synchronization and Cryptography for Secure Communications: Applications for Encryption, IGI Global, pp.19-41, 2010, ⟨10.4018/978-1-61520-737-4.ch002⟩. ⟨hal-00453068⟩

Preprints, Working Papers, ...6 documents

  • Mo Chen, Lionel Rosier. Exact controllability of the linear Zakharov-Kuznetsov equation. 2019. ⟨hal-02393893⟩
  • Patricio Guzmán, Lionel Rosier. NULL CONTROLLABILITY OF THE STRUCTURALLY DAMPED WAVE EQUATION ON THE TWO-DIMENSIONAL TORUS. 2019. ⟨hal-02159903⟩
  • Camille Laurent, Lionel Rosier. EXACT CONTROLLABILITY OF NONLINEAR HEAT EQUATIONS IN SPACES OF ANALYTIC FUNCTIONS. 2018. ⟨hal-01955484⟩
  • Brigitte d'Andréa-Novel, Iván Moyano, Lionel Rosier. FINITE-TIME STABILIZATION OF AN OVERHEAD CRANE WITH A FLEXIBLE CABLE. 2018. ⟨hal-01809806⟩
  • Rodrigo Lecaros, Lionel Rosier. CONTROL OF UNDERWATER VEHICLES IN INVISCID FLUIDS–II. FLOWS WITH VORTICITY. 2016. ⟨hal-01323698⟩
  • Lionel Rosier. On the Benjamin-Bona-Mahony equation with a localized damping. 2016. ⟨hal-01323704⟩