5 papers
Delay is Necessary for a Potential to Achieve Exponential Stabilization of the Wave Equation via Internal Control
Crédo Roselin Fanou, Kaïs Ammari, Islam Boussaada
In this work, we study the stabilization of the wave equation using an internal delayed potential. Interestingly, the stabilization mechanism is entirely induced by the delay, sinc…
Optimal Control of an Interconnected SDE -Parabolic PDE System
Gabriel Velho, Jean Auriol, Islam Boussaada +1
In this paper, we design a controller for an interconnected system where a linear Stochastic Differential Equation (SDE) is actuated through a linear parabolic heat equation. These…
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…
Stabilization and Optimal Control of an Interconnected Hetero-directional Hyperbolic PDE-SDE System
Gabriel Velho, Jean Auriol, Islam Boussaada +1
In this paper, we design a controller for an interconnected system composed of a linear Stochastic Differential Equation (SDE) controlled through a linear hetero-directional hyperb…
Prescribed exponential stabilization of scalar neutral differential equations: Application to neural control
Cyprien Tamekue, Islam Boussaada, Karim Trabelsi
This paper presents a control-oriented delay-based modeling approach for the exponential stabilization of a scalar neutral functional differential equation, which is then applied t…