Lionel ROSIER
- Professeur au LMPA
- Équipe : Équations aux dérivées partielles, Modéles aléatoires et Approximation (EMA)
- Email : Lionel.Rosier@univ-littoral.fr
- Laboratoire de Mathématiques Pure et Appliquées
- Adresse : LMPA
Centre Universitaire de la Mi-Voix
50 rue Ferdinand Buisson
CS 80699
62228 CALAIS Cedex France - Bureau : B113
- Téléphone : +33 3 21 46 36 27
- Adresse :
81 publications
- Null controllability of strongly degenerate parabolic equations ( ), In ESAIM Control Optim. Calc. Var., volume 29, 2023. [hal-lmpa]
- Numerical control of a semilinear wave equation on an interval ( ), Chapter in Advances in distributed parameter systems, Springer, Cham, volume 14, [2022] copyright 2022. [hal-lmpa]
- Numerical control of the wave equation and Huygens' principle ( ), In Math. Rep. (Bucur.), volume 24(74), 2022. [hal-lmpa]
- Reachable states for the distributed control of the heat equation ( ), In C. R. Math. Acad. Sci. Paris, volume 360, 2022. [hal]
- Null controllability of the structurally damped wave equation on the two-dimensional torus ( ), In SIAM J. Control Optim., volume 59, 2021. [hal]
- Finite-time stabilization of an overhead crane with a flexible cable submitted to an affine tension ( ), In ESAIM Control Optim. Calc. Var., volume 27, 2021. [hal-lmpa]
- Exact controllability of the linear Zakharov-Kuznetsov equation ( ), In Discrete Contin. Dyn. Syst. Ser. B, volume 25, 2020. [hal-lmpa]
- Exact controllability of semilinear heat equations in spaces of analytic functions ( ), In Ann. Inst. H. Poincar'e Anal. Non Lin'eaire, volume 37, 2020. [hal]
- Control of a Boussinesq system of KdV-KdV type on a bounded interval ( ), In ESAIM Control Optim. Calc. Var., volume 25, 2019. [hal]
- Exact controllability of a linear Korteweg–de Vries equation by the flatness approach ( ), In SIAM J. Control Optim., volume 57, 2019. [hal]
- Finite-time stabilization of an overhead crane with a flexible cable ( ), In Math. Control Signals Systems, volume 31, 2019. [hal]
- Controllability of some evolution equations by the flatness approach ( ), Chapter in Trends in control and inverse problems, Am. Inst. Math. Sci. (AIMS), Springfield, MO, 2018. [hal]
- Boundary stabilization of quasilinear hyperbolic systems of balance laws: exponential decay for small source terms ( ), In J. Evol. Equ., volume 18, 2018. [hal]
- On homogeneous finite-time control for linear evolution equation in Hilbert space ( ), In IEEE Trans. Automat. Control, volume 63, 2018. [hal]
- Controllability of the 1D Schrödinger equation using flatness ( ), In Automatica J. IFAC, volume 91, 2018. [hal]
- Controllability of parabolic equations by the flatness approach ( ), Chapter in Evolution equations: long time behavior and control, Cambridge Univ. Press, Cambridge, volume 439, 2018. [hal]
- Control of underwater vehicles in inviscid fluids II. Flows with vorticity ( ), In ESAIM Control Optim. Calc. Var., volume 22, 2016. [hal]
- On the reachable states for the boundary control of the heat equation ( ), In Appl. Math. Res. Express. AMRX, 2016. [hal]
- On the Benjamin-Bona-Mahony equation with a localized damping ( ), In J. Math. Study, volume 49, 2016. [hal]
- Null controllability of one-dimensional parabolic equations by the flatness approach ( ), In SIAM J. Control Optim., volume 54, 2016. [hal]
- Finite-time stabilization of a network of strings ( ), In Math. Control Relat. Fields, volume 5, 2015. [hal]
- Control and stabilization of the Benjamin-Ono equation in $L^2(\Bbb{T})$ ( ), In Arch. Ration. Mech. Anal., volume 218, 2015. [hal]
- Internal controllability of the Korteweg–de Vries equation on a bounded domain ( ), In ESAIM Control Optim. Calc. Var., volume 21, 2015. [hal]
- Identifiability and stability of an inverse problem involving a Fredholm equation ( ), In Chin. Ann. Math. Ser. B, volume 36, 2015. [hal]
- Control and stabilization of the Benjamin-Ono equation on a periodic domain ( ), In Trans. Amer. Math. Soc., volume 367, 2015. [hal]
- Null controllability of the heat equation using flatness ( ), In Automatica J. IFAC, volume 50, 2014. [hal]
- Determination of the calcium channel distribution in the olfactory system ( ), In J. Inverse Ill-Posed Probl., volume 22, 2014. [hal]
- Control of underwater vehicles in inviscid fluids—I. Irrotational flows ( ), In ESAIM Control Optim. Calc. Var., volume 20, 2014. [hal]
- Null controllability of a system of viscoelasticity with a moving control ( ), In J. Math. Pures Appl. (9), volume 101, 2014. [hal]
- Finite-time stabilization of $2\times 2$ hyperbolic systems on tree-shaped networks ( ), In SIAM J. Control Optim., volume 52, 2014. [hal]
- Controllability of a 1-D tank containing a fluid modeled by a Boussinesq system ( ), In Evol. Equ. Control Theory, volume 2, 2013.
- Null controllability of the structurally damped wave equation with moving control ( ), In SIAM J. Control Optim., volume 51, 2013. [hal]
- On the control of the motion of a boat ( ), In Math. Models Methods Appl. Sci., volume 23, 2013. [hal]
- Unique continuation property and control for the Benjamin-Bona-Mahony equation on a periodic domain ( ), In J. Differential Equations, volume 254, 2013. [hal]
- Finite dimensional controllability ( ), Chapter in Mathematics of complexity and dynamical systems. Vols. 1–3, Springer, New York, 2012.
- Inverse problem for the heat equation and the Schrödinger equation on a tree ( ), In Inverse Problems, volume 28, 2012. [hal]
- Global stabilization of a coupled system of two generalized Korteweg-de Vries type equations posed on a finite domain ( ), In Math. Control Relat. Fields, volume 1, 2011.
- Exact controllability of a cascade system of conservative equations ( ), In C. R. Math. Acad. Sci. Paris, volume 349, 2011.
- Control and stabilization of the nonlinear Schrödinger equation on rectangles ( ), In Math. Models Methods Appl. Sci., volume 20, 2010. [hal]
- Control and stabilization of the Korteweg-de Vries equation on a periodic domain ( ), In Comm. Partial Differential Equations, volume 35, 2010. [hal]
- Null controllability of a parabolic system with a cubic coupling term ( ), In SIAM J. Control Optim., volume 48, 2010. [hal]
- Uniform stabilization in weighted Sobolev spaces for the KdV equation posed on the half-line ( ), In Discrete Contin. Dyn. Syst. Ser. B, volume 14, 2010. [hal]
- Control and stabilization of the Korteweg-de Vries equation: recent progresses ( ), In J. Syst. Sci. Complex., volume 22, 2009. [hal]
- Exact boundary controllability of the nonlinear Schrödinger equation ( ), In J. Differential Equations, volume 246, 2009. [hal]
- Null controllability of the complex Ginzburg-Landau equation ( ), In Ann. Inst. H. Poincaré Anal. Non Linéaire, volume 26, 2009. [hal]
- Smooth solutions for the motion of a ball in an incompressible perfect fluid ( ), In J. Funct. Anal., volume 256, 2009. [hal-lmpa]
- Control and stabilization of a family of Boussinesq systems ( ), In Discrete Contin. Dyn. Syst., volume 24, 2009. [hal]
- Local exact controllability and stabilizability of the nonlinear Schrödinger equation on a bounded interval ( ), In SIAM J. Control Optim., volume 48, 2009. [hal]
- Exact controllability and output feedback stabilization of a bimorph mirror ( ), Chapter in Paris-Sud Working Group on Modelling and Scientific Computing 2007–2008, EDP Sci., Les Ulis, volume 25, 2008.
- Detecting a moving obstacle in an ideal fluid by a boundary measurement ( ), In C. R. Math. Acad. Sci. Paris, volume 346, 2008. [hal]
- Stabilization of a Boussinesq system of KdV-KdV type ( ), In Systems Control Lett., volume 57, 2008. [hal]
- On the detection of a moving obstacle in an ideal fluid by a boundary measurement ( ), In Inverse Problems, volume 24, 2008.
- Controllability of the Ginzburg-Landau equation ( ), In C. R. Math. Acad. Sci. Paris, volume 346, 2008. [hal]
- Inverse problems for the Schrödinger equation via Carleman inequalities with degenerate weights ( ), In Inverse Problems, volume 24, 2008. [hal]
- Carleman inequalities and inverse problems for the Schrödinger equation ( ), In C. R. Math. Acad. Sci. Paris, volume 346, 2008. [hal]
- Stabilization of a clamped-free beam with collocated piezoelectric sensor/actuator ( ), In Int. J. Tomogr. Stat., volume 6, 2007.
- On the control of a bimorph mirror ( ), In Int. J. Tomogr. Stat., volume 5, 2007.
- On the controllability of a wave equation with structural damping ( ), In Int. J. Tomogr. Stat., volume 5, 2007.
- Output feedback stabilization of a clamped-free beam ( ), In Internat. J. Control, volume 80, 2007.
- On the motion of a rigid body immersed in a bidimensional incompressible perfect fluid ( ), In Ann. Inst. H. Poincaré Anal. Non Linéaire, volume 24, 2007. [hal]
- Global stabilization of the generalized Korteweg-de Vries equation posed on a finite domain ( ), In SIAM J. Control Optim., volume 45, 2006. [hal]
- Chaos synchronization for a class of discrete dynamical systems on the $N$-dimensional torus ( ), In Systems Control Lett., volume 55, 2006. [hal]
- Liapunov functions and stability in control theory ( ), Springer-Verlag, Berlin, 2005.
- Classical solutions for the equations modelling the motion of a ball in a bidimensional incompressible perfect fluid ( ), In M2AN Math. Model. Numer. Anal., volume 39, 2005. [hal]
- On the global existence of solutions for a non-local problem occurring in statistical mechanics ( ), In Nonlinear Anal., volume 60, 2005. [hal-lmpa]
- Global solutions for a problem modeling the dynamics of a system of self-gravitating Brownian particles ( ), Chapter in Nonlocal elliptic and parabolic problems, Polish Acad. Sci. Inst. Math., Warsaw, volume 66, 2004. [hal]
- Control of the surface of a fluid by a wavemaker ( ), In ESAIM Control Optim. Calc. Var., volume 10, 2004. [hal]
- Bounded state reconstruction error for LPV systems with estimated parameters ( ), In IEEE Trans. Automat. Control, volume 49, 2004. [hal]
- Finite speed propagation in the relaxation of vortex patches ( ), In Quart. Appl. Math., volume 61, 2003.
- A fundamental solution supported in a strip for a dispersive equation ( ), Chapter in , volume 21, 2002, Special issue in memory of Jacques-Louis Lions.
- Liapunov functions and stability in control theory ( ), Springer-Verlag London, Ltd., London, volume 267, 2001. [hal]
- Regularity of Liapunov functions for stable systems ( ), In Systems Control Lett., volume 41, 2000.
- Remarks regarding the gap between continuous, Lipschitz, and differentiable storage functions for dissipation inequalities appearing in $H_\infty$ control ( ), In Systems Control Lett., volume 41, 2000.
- Well-posedness of a degenerate parabolic equation issuing from two-dimensional perfect fluid dynamics ( ), In Appl. Anal., volume 75, 2000.
- Exact boundary controllability for the linear Korteweg-de Vries equation on the half-line ( ), In SIAM J. Control Optim., volume 39, 2000.
- Smooth Lyapunov functions for discontinuous stable systems ( ), In Set-Valued Anal., volume 7, 1999.
- Exact boundary controllability for the linear Korteweg-de Vries equation—a numerical study ( ), Chapter in Control and partial differential equations (Marseille-Luminy, 1997), Soc. Math. Appl. Indust., Paris, volume 4, 1998.
- Liapunov and Lagrange stability: inverse theorems for discontinuous systems ( ), In Math. Control Signals Systems, volume 11, 1998.
- Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain ( ), In ESAIM Control Optim. Calc. Var., volume 2, 1997.
- A relation between continuous time-varying and discontinuous feedback stabilization ( ), In J. Math. Systems Estim. Control, volume 4, 1994.
- Homogeneous Lyapunov function for homogeneous continuous vector fields ( ), In Systems Control Lett., volume 19, 1992.