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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.OC2025

Boundary output feedback stabilization of a cascade of N heat equations

Hugo Lhachemi, Christophe Prieur, Emmanuel Trélat

This paper solves the problem of output feedback stabilization for a cascade of N heat equations that are coupled at the boundary, the input being a scalar boundary control applied…

math.OC2025

Boundary control of heat-heat cascades

Hugo Lhachemi, Christophe Prieur, Emmanuel Trélat

This paper addresses the problem of feedback stabilization of a cascade of two heat equations that are coupled in the boundary conditions, the input being a boundary control for th…

math.OC2025

Controllability and Stabilization of a Wave-Heat Cascade System

Hugo Lhachemi, Christophe Prieur, Emmanuel Trélat

Considering a wave-reaction-diffusion PDE cascade system with wave Neumann control, we first establish controllability properties in a suitable Hilbert space depending on the coupl…

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

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…

eess.SP2025

Revisiting Split Covariance Intersection: Correlated Components and Optimality

Colin Cros, Pierre-Olivier Amblard, Christophe Prieur +1

Linear fusion is a cornerstone of estimation theory. Implementing optimal linear fusion requires knowledge of the covariance of the vector of errors associated with all the estimat…