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math.OC2026
Stabilization of Integral Difference Equations by Solving a Corona Problem
Adam Braun, Jean Auriol, Lucas Brivadis
This paper proposes a stabilizing state-feedback control law for vector-valued state systems with a scalar control input, governed by a general class of integral difference equatio…
math.OC2026
A mathematical framework for time-delay reservoir computing analysis
Anh-Tuan Clabaut, Jean Auriol, Islam Boussaada +1
Reservoir computing is a well-established approach for processing data with a much lower complexity compared to traditional neural networks. Despite two decades of experimental pro…
math.OC2025
A novel necessary and sufficient condition for the stability of first-order linear hyperbolic systems
Ismaïla Balogoun, Jean Auriol, Islam Boussaada +1
In this paper, we establish a necessary and sufficient stability condition for a class of two coupled first-order linear hyperbolic partial differential equations. Through a backst…