28 citations · 47 across the 18 of their papers we have counts for
8 papers · 1 filter
A general result on the approximation of local conservation laws by nonlocal conservation laws: The singular limit problem for exponential kernels
Giuseppe Maria Coclite, Jean-Michel Coron, Nicola De Nitti +2
We deal with the problem of approximating a scalar conservation law by a conservation law with nonlocal flux. As convolution kernel in the nonlocal flux, we consider an exponential…
Null-controllability, exact controllability, and stabilization of hyperbolic systems for the optimal time
Jean-Michel Coron, Hoai-Minh Nguyen
In this paper, we discuss our recent works on the null-controllability, the exact controllability, and the stabilization of linear hyperbolic systems in one dimensional space using…
On the small-time local controllability of a KdV system for critical lengths
Jean-Michel Coron, Armand Koenig, Hoai-Minh Nguyen
This paper is devoted to the local null-controllability of the nonlinear KdV equation equipped the Dirichlet boundary conditions using the Neumann boundary control on the right. Ro…
Lyapunov functions and finite time stabilization in optimal time for homogeneous linear and quasilinear hyperbolic systems
Jean-Michel Coron, Hoai-Minh Nguyen
Hyperbolic systems in one dimensional space are frequently used in modeling of many physical systems. In our recent works, we introduced time independent feedbacks leading to the f…
Finite-time stabilization in optimal time of homogeneous quasilinear hyperbolic systems in one dimensional space
Jean-Michel Coron, Hoai-Minh Nguyen
We consider the finite-time stabilization of homogeneous quasilinear hyperbolic systems with one side controls and with nonlinear boundary condition at the other side. We present t…
Feedforward boundary control of nonlinear hyperbolic systems with application to Saint-Venant equations
Georges Bastin, Jean-Michel Coron, Amaury Hayat
Because they represent physical systems with propagation delays, hyperbolic systems are well suited for feedforward control. This is especially true when the delay between a distur…