120 citations · 777 across the 45 of their papers we have counts for
7 papers · 1 filter
Input-to-state stability of infinite-dimensional systems: recent results and open questions
Andrii Mironchenko, Christophe Prieur
In a pedagogical but exhaustive manner, this survey reviews the main results on input-to-state stability (ISS) for infinite-dimensional systems. This property allows estimating the…
PI Regulation of a Reaction-Diffusion Equation with Delayed Boundary Control
Hugo Lhachemi, Christophe Prieur, Emmanuel Trélat
The general context of this work is the feedback control of an infinite-dimensional system so that the closed-loop system satisfies a fading-memory property and achieves the setpoi…
L^p-asymptotic stability analysis of a 1D wave equation with a nonlinear damping
Yacine Chitour, Swann Marx, Christophe Prieur
This paper is concerned with the asymptotic stability analysis of a one dimensional wave equation with Dirichlet boundary conditions subject to a nonlinear distributed damping with…
Local stabilization of an unstable parabolic equation via saturated controls
Andrii Mironchenko, Christophe Prieur, Fabian Wirth
We derive a saturated feedback control, which locally stabilizes a linear reaction-diffusion equation. In contrast to most other works on this topic, we do not assume the Lyapunov…
Feedback Stabilization of a Class of Diagonal Infinite-Dimensional Systems with Delay Boundary Control
Hugo Lhachemi, Christophe Prieur
This paper studies the boundary feedback stabilization of a class of diagonal infinite-dimensional boundary control systems. In the studied setting, the boundary control input is s…
Stability analysis of a 1D wave equation with a nonmonotone distributed damping
Swann Marx, Yacine Chitour, Christophe Prieur
This paper is concerned with the asymptotic stability analysis of a one dimensional wave equation subject to a nonmonotone distributed damping. A well-posedness result is provided…