5 papers · 1 filter
How Much Spatial Control Is Enough? Subdomain Optimal Control of Reaction-Diffusion Systems in Synthetic Developmental Biology
Mohamed Amine Ouchdiri, Hamza Faquir, Saad Benjelloun +1
Reaction-diffusion systems can produce spatial patterns such as stripes and spots through diffusion-driven instability. Steering these patterns from one configuration to another ca…
A Trajectory-Based Approach to Controlled Invariance and Recursively Feasible MPC
Emmanuel Junior Wafo Wembe, Adnane Saoud
In this paper, we revisit the computation of controlled invariant sets for linear discrete-time systems through a trajectory-based viewpoint. We begin by introducing the notion of…
Stabilization of the -D and -D Heat Equation via Modal Decomposition
Mohamed Amine Ouchdiri, Mohamed-Camil Belhadjoudja, Mohamed Maghenem +2
Boundary controllers have been recently proposed in the literature, via modal decomposition, to achieve stabilization of linear parabolic equations in two and three dimension…
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…
Nagumo-Type Characterization of Forward Invariance for Constrained Systems
Olayo Reynaud, Mohamed Maghenem, Adnane Saoud +2
This paper proposes a Nagumo-type invariance condition for differential inclusions defined on closed constraint sets. More specifically, given a closed set to render forward invari…