3 papers
math.OC2022
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…
math.OC2020
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…
math.AP2020
Input-to-State Stability in sup norms for hyperbolic systems with boundary disturbances
Georges Bastin, Jean-Michel Coron, Amaury Hayat
We give sufficient conditions for Input-to-State Stability in norm of general quasilinear hyperbolic systems with boundary input disturbances. In particular the derivation…