11 citations · 18 across the 10 of their papers we have counts for
10 papers · 1 filter
Forwarding-Lyapunov design for the stabilization of coupled ODEs and exponentially stable PDEs
Swann Marx, Daniele Astolfi, Vincent Andrieu
This paper is about the stabilization of a cascade system composed by an infinite-dimensional system, that we suppose to be exponentially stable, and an ordinary differential equat…
A Fredholm transformation for the rapid stabilization of a degenerate parabolic equation
Ludovick Gagnon, Pierre Lissy, Swann Marx
This paper deals with the rapid stabilization of a degenerate parabolic equation with a right Dirich-let control. Our strategy consists in applying a backstepping strategy, which s…
Forwarding techniques for the global stabilization of dissipative infinite-dimensional systems coupled with an ODE
Swann Marx, Lucas Brivadis, Daniele Astolfi
This paper deals with the stabilization of a coupled system composed by an infinite-dimensional system and an ODE. Moreover, the control, which appears in the dynamics of the ODE,…
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…
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…
Event-triggered damping stabilization of a linear wave equation
Lucie Baudouin, Swann Marx, Sophie Tarbouriech
The paper addresses the design of an event-triggering mechanism for a partial differential wave equation posed in a bounded domain. The wave equation is supposed to be controlled t…