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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,…