28 citations · 87 across the 41 of their papers we have counts for
8 papers · 1 filter
Exponential decay of solutions of damped wave equations in one dimensional space in the framework for various boundary conditions
Yacine Chitour, Hoai-Minh Nguyen
We establish the decay of the solutions of the damped wave equations in one dimensional space for the Dirichlet, Neumann, and dynamic boundary conditions where the damping coeffici…
On the optimal controllability time for linear hyperbolic systems with time-dependent coefficients
Jean-Michel Coron, Hoai-Minh Nguyen
The optimal time for the controllability of linear hyperbolic systems in one dimensional space with one-side controls has been obtained recently for time-independent coefficients i…
A dependence of the cost of fast controls for the heat equation on the support of initial datum
Hoai-Minh Nguyen
The controllability cost for the heat equation as the control time goes to 0 is well-known of the order for some positive constant , depending on the controlled do…
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…
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…