3 papers
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.DS2025
Strong stability of linear delay-difference equations
Felipe Gonçalves Netto, Yacine Chitour, Guilherme Mazanti
This paper considers linear delay-difference equations, that is, equations relating the state at a given time with its past values over a given bounded interval. After providing a…
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…