120 citations · 777 across the 45 of their papers we have counts for
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Velocity Stabilization of a Wave Equation with a Nonlinear Dynamic Boundary Condition
Nicolas Vanspranghe, Francesco Ferrante, Christophe Prieur
This paper deals with a one-dimensional wave equation with a nonlinear dynamic boundary condition and a Neumann-type boundary control acting on the other extremity. We consider a c…
Stabilization of the wave equation through nonlinear Dirichlet actuation
Nicolas Vanspranghe, Francesco Ferrante, Christophe Prieur
In this paper, we consider the problem of nonlinear (in particular, saturated) stabilization of the high-dimensional wave equation with Dirichlet boundary conditions. The wave dyna…
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…
Stability analysis of dissipative systems subject to nonlinear damping via Lyapunov techniques
Swann Marx, Yacine Chitour, Christophe Prieur
In this article, we provide a general strategy based on Lyapunov functionals to analyse global asymptotic stability of linear infinite-dimensional systems subject to nonlinear damp…
On ISS-Lyapunov functions for infinite-dimensional linear control systems subject to saturations
Swann Marx, Yacine Chitour, Christophe Prieur
- This article deals with the derivation of ISS-Lyapunov functions for infinite-dimensional linear systems subject to saturations. Two cases are considered: 1) the saturation acts…