66 citations
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9 papers · 1 filter
Stabilization of Quasilinear Parabolic Equations by Cubic Feedback at Boundary with Estimated Region of Attraction
Mohamed Camil Belhadjoudja, M Maghenem, E Witrant +1
For quasilinear parabolic partial differential equations (PDEs) that exhibit finite-time blow up in open loop, i.e., under null boundary conditions, we provide an estimate of the r…
Boundary Control for Wildfire Mitigation
Mohamed Camil Belhadjoudja, Mohamed Maghenem, Emmanuel Witrant +1
In this paper, we propose a feedback control strategy to protect vulnerable areas from wildfires. We consider a system of coupled partial differential equations (PDEs) that models…
Boundary Stabilization of Quasilinear Parabolic PDEs that Blow Up in Open Loop for Arbitrarily Small Initial Conditions
M C Belhadjoudja, M Maghenem, E Witrant +1
We propose a novel framework for stabilization, with an estimate of the region of attraction, of quasilinear parabolic partial differential equations (PDEs) that exhibit finite-tim…
Wave equation with hyperbolic boundary condition: a frequency domain approach
Nicolas Vanspranghe
In this paper, we investigate the stability of the linear wave equation where one part of the boundary, which is seen as a lower-dimensional Riemannian manifold, is governed by a c…
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…
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…