5 papers
Semi-uniform stability estimates for impedance passive systems with saturated feedback *
Swann Marx
This article investigates the long-time behavior of (possibly infinite-dimensional) impedance passive systems under saturated output feedback and external disturbances. We assume t…
Quantitative Fredholm backstepping and rapid stabilization
Ludovick Gagnon, Amaury Hayat, Swann Marx +2
In this paper, we address the existence of Fredholm backstepping transformations for self-adjoint and skew-adjoint operators . Under suitable assumptions on the operator and…
Control and stabilization of cascade coupled systems: application to a 1-d heat and wave coupled system
Lucas Davron, Pierre Lissy, Swann Marx
We study cascade coupled systems, for which our prototypical example is a 1-d heat equation coupled with a 1-d wave equation. The heat component is controlled through one boundary…
Optimizing quasi-dissipative evolution equations with the moment-SOS hierarchy
Saroj Prasad Chhatoi, Didier Henrion, Swann Marx +1
We prove that there is no relaxation gap between a quasi-dissipative nonlinear evolution equation in a Hilbert space and its linear Liouville equation reformulation on probability…
Coercive ISS-Lyapunov functionals for regular infinite-dimensional systems and applications
Swann Marx
This paper proposes the construction of a coercive ISS-Lyapunov functional for linear regular infinite-dimensional system. Indeed, as already known, Lyapunov functionals for infini…