3 papers
math.OC2026
Stabilization of a Wave-Heat Cascade System
Hugo Lhachemi, Christophe Prieur, Emmanuel Trélat
We consider the output-feedback stabilization of a one-dimensional cascade coupling a reaction-diffusion equation and a wave equation through an internal term, with Neumann boundar…
math.OC2025
Stabilizability with bounded feedback for analytic linear control systems
Yaxing Ma, Emmanuel Trélat, Lijuan Wang +1
In this paper, we give sufficient conditions under which linear abstract control systems for which the semigroup is analytic are stabilizable with a bounded feedback. We obtain var…
nlin.CD2025
Optimal dynamical stabilization
Arnaud Lazarus, Emmanuel Trélat
Stability is a fundamental concept that refers to a system's ability to return close to its original state after disturbances. The minimal conditions for stability when system para…