4 papers
Spectral Boundary Observer for Counter-Flow Heat Exchangers
Mohamed Camil Belhadjoudja, Mohamed Maghenem, Emmanuel Witrant
We consider a system of two coupled first-order linear hyperbolic partial differential equations modeling heat transport in a counter-flow heat exchanger: one equation describes th…
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 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…
Adaptive Boundary Control of the Kuramoto-Sivashinsky Equation Under Intermittent Sensing
Mohamed Camil Belhadjoudja, Mohamed Maghenem, Emmanuel Witrant +1
We study in this paper boundary stabilization, in the L2 sense, of the perturbed Kuramoto-Sivashinsky (KS) equation subject to intermittent sensing. We assume that we measure the s…