28 citations · 47 across the 12 of their papers we have counts for
11 papers · 1 filter
Diffusion and robustness of boundary feedback stabilization of hyperbolic systems
Georges Bastin, Jean-Michel Coron, Amaury Hayat
We consider the problem of boundary feedback control of single-input-single-output (SISO) one-dimensional linear hyperbolic systems when sensing and actuation are anti-located. The…
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…
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…
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…