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math.AP2025
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…
math.AP2025
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…
math.AP2025
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…