Analysis of a conservation law modeling a highly re-entrant manufacturing system (2009)
Coron, Jean-Michel, Kawski, Matthias, Wang, Zhiqiang
This article studies a hyperbolic conservation law that models a highly re-entrant manufacturing system as encountered in semi-conductor production. Characteristic features are the nonlocal character...
Beauchard, Karine, Coron, Jean-Michel, Rouchon, Pierre
We study the controllability of the Bloch equation, for an ensemble of non interacting half-spins, in a static magnetic field, with dispersion in the Larmor frequency. This system may be seen as a...
Coron, Jean-Michel, Glass, Olivier, Wang, Zhiqiang
The general theory on exact boundary controllability for general first order quasilinear hyperbolic systems requires that the characteristic speeds of system do not vanish. This paper deals with...
We consider a 1-D tank containing an inviscid incompressible irrotational fluid. The tank is subject to one-dimensional horizontal moves. We assume that the horizontal acceleration of the tank is...
Quantum control design by Lyapunov trajectory tracking for dipole and polarizability coupling (2009)
Coron, Jean-Michel, Grigoriu, Andreea, Lefter, Catalin, Turinici, Gabriel
We analyse in this paper the Lyapunov trajectory tracking of the Schrödinger equation for a coupling control operator containing both a linear (dipole) and a quadratic (polarizability) term. We show...
Quantum control design by Lyapunov trajectory tracking for dipole and polarizability coupling (2009)
Coron, Jean-Michel, Grigoriu, Andreea, Lefter, Catalin, Turinici, Gabriel
We analyse in this paper the Lyapunov trajectory tracking of the Schrödinger equation for a coupling control operator containing both a linear (dipole) and a quadratic (polarizability) term. We show...
Vazquez, Rafael, Trélat, Emmanuel, Coron, Jean-Michel
We consider the problem of generating and tracking a trajectory between two arbitrary parabolic profiles of a periodic 2D channel flow, which is linearly unstable for high Reynolds numbers. Also...
Vazquez, Rafael, Trélat, Emmanuel, Coron, Jean-Michel
We consider the problem of generating and tracking a trajectory between two arbitrary parabolic profiles of a periodic 2D channel flow, which is linearly unstable for high Reynolds numbers. Also...
Controllability and nonlinearity (2008)
Jean-michel Coron, Département De Mathématiques
A usual problem in control theory is the problem of controllability: given two states, is it possible to go from the first one to the second one by means of suitable control? Even in finite...
Vazquez, Rafael, Trélat, Emmanuel, Coron, Jean-Michel
We consider the problem of generating and tracking a trajectory between two arbitrary parabolic profiles of a periodic 2D channel flow, which is linearly unstable for high Reynolds numbers. Also...
Vazquez, Rafael, Trélat, Emmanuel, Coron, Jean-Michel
We consider the problem of generating and tracking a trajectory between two arbitrary parabolic profiles of a periodic 2D channel flow, which is linearly unstable for high Reynolds numbers. Also...
Open Problems On, Vincent D. Blondel, Alexander Megretski, Roger Brockett, Jean-michel Coron, Miroslav Krstic, ...
this paper we consider the well-known Schur problem the solution of which satisfy in addition the extremal condition (z)w(z) min ; jzj < 1 (58.1) where w(z) and min are mxm matrices and min > 0...
Fast Tracking of Poiseuille Trajectories in Navier-Stokes 2D Channel Flow (2007)
Coron, Jean-Michel, Trélat, Emmanuel, Vazquez, Rafael
We consider the problem of generating and tracking a trajectory between two arbitrary parabolic profiles of a periodic 2D channel flow, which is linearly unstable for high Reynolds numbers. Also...
Fast Tracking of Poiseuille Trajectories in Navier-Stokes 2D Channel Flow (2007)
Coron, Jean-Michel, Trélat, Emmanuel, Vazquez, Rafael
We consider the problem of generating and tracking a trajectory between two arbitrary parabolic profiles of a periodic 2D channel flow, which is linearly unstable for high Reynolds numbers. Also...
Global steady-state stabilization and controllability of 1-D semilinear wave equations (2006)
Coron, Jean-Michel, Trélat, Emmanuel
This paper is concerned with the exact boundary controllability of semilinear wave equations in one space dimension. We prove that it is possible to move from any steady-state to any other one by...
Fast Tracking of Poiseuille Trajectories in Navier-Stokes 2D Channel Flow (2006)
Coron, Jean-Michel, Trélat, Emmanuel, Vazquez, Rafael
We consider the problem of generating and tracking a trajectory between two arbitrary parabolic profiles of a periodic 2D channel flow, which is linearly unstable for high Reynolds numbers. Also...
Stable Poiseuille flow transfer for a Navier-Stokes system (2006)
Vazquez, Rafael, Trélat, Emmanuel, Coron, Jean-Michel
We consider the problem of generating and tracking a trajectory between two arbitrary parabolic profiles of a periodic 2D channel flow, which is linearly unstable for high Reynolds numbers. Also...
Global steady-state stabilization and controllability of 1-D semilinear wave equations (2006)
Coron, Jean-Michel, Trélat, Emmanuel
This paper is concerned with the exact boundary controllability of semilinear wave equations in one space dimension. We prove that it is possible to move from any steady-state to any other one by...
Fast Tracking of Poiseuille Trajectories in Navier-Stokes 2D Channel Flow (2006)
Coron, Jean-Michel, Trélat, Emmanuel, Vazquez, Rafael
We consider the problem of generating and tracking a trajectory between two arbitrary parabolic profiles of a periodic 2D channel flow, which is linearly unstable for high Reynolds numbers. Also...
Stable Poiseuille flow transfer for a Navier-Stokes system (2006)
Vazquez, Rafael, Trélat, Emmanuel, Coron, Jean-Michel
We consider the problem of generating and tracking a trajectory between two arbitrary parabolic profiles of a periodic 2D channel flow, which is linearly unstable for high Reynolds numbers. Also...
Global steady-state stabilization and controllability of 1-D semilinear wave equations (2006)
Coron, Jean-Michel, Trélat, Emmanuel
This paper is concerned with the exact boundary controllability of semilinear wave equations in one space dimension. We prove that it is possible to move from any steady-state to any other one by...
Stable Poiseuille flow transfer for a Navier-Stokes system (2006)
Vazquez, Rafael, Trélat, Emmanuel, Coron, Jean-Michel
We consider the problem of generating and tracking a trajectory between two arbitrary parabolic profiles of a periodic 2D channel flow, which is linearly unstable for high Reynolds numbers. Also...
Stable Poiseuille flow transfer for a Navier-Stokes system (2006)
Vazquez, Rafael, Trélat, Emmanuel, Coron, Jean-Michel
We consider the problem of generating and tracking a trajectory between two arbitrary parabolic profiles of a periodic 2D channel flow, which is linearly unstable for high Reynolds numbers. Also...
Global steady-state stabilization and controllability of 1-D semilinear wave equations (2006)
Coron, Jean-Michel, Trélat, Emmanuel
This paper is concerned with the exact boundary controllability of semilinear wave equations in one space dimension. We prove that it is possible to move from any steady-state to any other one by...
Coron, Jean-Michel, Trélat, Emmanuel
We report the problem of feedback stabilization along a path of steady-states, and of exact boundary controllability of semilinear one-dimensional heat and wave equations. The main result is that it...
Coron, Jean-Michel, Trélat, Emmanuel
We report the problem of feedback stabilization along a path of steady-states, and of exact boundary controllability of semilinear one-dimensional heat and wave equations. The main result is that it...
Coron, Jean-Michel, Trélat, Emmanuel
We report the problem of feedback stabilization along a path of steady-states, and of exact boundary controllability of semilinear one-dimensional heat and wave equations. The main result is that it...
Coron, Jean-Michel, Trélat, Emmanuel
We report the problem of feedback stabilization along a path of steady-states, and of exact boundary controllability of semilinear one-dimensional heat and wave equations. The main result is that it...
Global steady-state controllability of 1-D semilinear heat equations (2004)
Coron, Jean-Michel, Trélat, Emmanuel
We investigate the problem of exact boundary controllability of semilinear one-dimensional heat equations. We prove that it is possible to move from any steady-state to any other one by means of a...
Global steady-state controllability of 1-D semilinear heat equations (2004)
Coron, Jean-Michel, Trélat, Emmanuel
We investigate the problem of exact boundary controllability of semilinear one-dimensional heat equations. We prove that it is possible to move from any steady-state to any other one by means of a...
Global steady-state controllability of 1-D semilinear heat equations (2004)
Coron, Jean-Michel, Trélat, Emmanuel
We investigate the problem of exact boundary controllability of semilinear one-dimensional heat equations. We prove that it is possible to move from any steady-state to any other one by means of a...
Global steady-state controllability of 1-D semilinear heat equations (2004)
Coron, Jean-Michel, Trélat, Emmanuel
We investigate the problem of exact boundary controllability of semilinear one-dimensional heat equations. We prove that it is possible to move from any steady-state to any other one by means of a...
Exact boundary controllability of a nonlinear KdV equation with critical lengths (2003)
Coron, Jean-Michel, Crépeau, Emmanuelle
We study the boundary controllability of a nonlinear Korteweg-de Vries equation with the Dirichlet boundary condition on an interval with a critical length for which it has been shown by Rosier that...
Exact boundary controllability of a nonlinear KdV equation with critical lengths (2003)
Coron, Jean-Michel, Crépeau, Emmanuelle
We study the boundary controllability of a nonlinear Korteweg-de Vries equation with the Dirichlet boundary condition on an interval with a critical length for which it has been shown by Rosier that...
Exact boundary controllability of a nonlinear KdV equation with critical lengths (2003)
Coron, Jean-Michel, Crépeau, Emmanuelle
We study the boundary controllability of a nonlinear Korteweg-de Vries equation with the Dirichlet boundary condition on an interval with a critical length for which it has been shown by Rosier that...
Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations (2002)
Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations (2002)
Abstract. We consider a 1-D tank containing an inviscid incompressible irrotational fluid. The tank is subject to the control which consists of horizontal moves. We assume that the motion of the...
Return method: some applications to flow control (2000)
Dedicated to Jean Lévine for his 50 th birthday Due to recent progress in advanced technologies in many fields of engineering sciences, applications of flow control are developing very quickly. In...
Vincent D. Blondel, Alexander Megretski, Roger Brockett, Jean-michel Coron, Miroslav Krstic, Anders Rantzer, ...
Some of the problems appearing in this booklet will appear in a more extensive forthcoming book on open problems in systems theory. For more information about this future book, please consult the...