6 papers · 1 filter
H-ISS Analysis and Boundary Control Design for Coupled Linear ODEs and Hyperbolic PDEs
Franthiescolly Vieira de Carvalho, Daniel Coutinho, Gustavo de Andrade +2
This paper considers the general problem of the design of boundary controllers for distributed parameter systems. The control objectives are the asymptotic stability of the closed-…
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…
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…
A Converse Robust-Safety Theorem for Differential Inclusions
Mohamed Maghenem, Masoumeh Ghanbarpour
This paper establishes the equivalence between robust safety and the existence of a barrier function certificate for differential inclusions. More precisely, for a robustly-safe di…