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20172026
most citedSufficient conditions for forward invariance and contractivity in hybrid inclusions using barrier functions

52 citations · 60 across the 27 of their papers we have counts for

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6 papers · 1 filter

math.OC2025

On the Perturbed Projection-Based Distributed Gradient-Descent Algorithm: A Fully-Distributed Adaptive Redesign

Tarek Bazizi, Mohamed Maghenem, Paolo Frasca +2

In this work, we revisit a classical distributed gradient-descent algorithm, introducing an interesting class of perturbed multi-agent systems. The state of each subsystem represen…

math.OC2025

An optimal-control framework for reaction diffusion systems with application to synthetic developmental biology

Mohamed Amine Ouchdiri, Hamza Faquir, Saad Benjelloun +3

Reaction-diffusion systems offer a powerful framework for understanding self-organized patterns in biological systems, yet controlling these patterns remains a significant challeng…

math.OC2025

Nagumo Theorem For Constrained Differential Inclusions: Transversal Intersection and Set-Map Regularity

Olayo Reynaud, Mohamed Maghenem, Adnane Saoud +2

We study a solution-independent condition certifying forward invariance of closed sets for constrained continuous-time systems. The proposed condition is only necessary in general,…

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 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…