7 papers · 1 filter
Finite-Time Stabilization of Linear Systems via Optimal Control
Weihao Weng, Yacine Chitour, Paolo Mason
This paper presents an optimal control framework for achieving finite-time stabilization of linear systems. By introducing a suitably constructed integral cost function, we derive…
Stability criteria for singularly perturbed impulsive linear switched systems
Ihab Haidar, Yacine Chitour, Jamal Daafouz +2
We study a class of singularly perturbed impulsive linear switched systems exhibiting switching between slow and fast dynamics. To analyze their behavior, we construct auxiliary sw…
A Berger-Wang formula for impulsive switched systems
Yacine Chitour, Jamal Daafouz, Ihab Haidar +2
This paper addresses a class of impulsive systems defined by a mix of continuous-time and discrete-time switched linear dynamics. We first analyze a related class of weighted discr…
Hautus--Yamamoto criteria for approximate and exact controllability of linear difference delay equations
Yacine Chitour, Sébastien Fueyo, Guilherme Mazanti +1
The paper deals with the controllability of finite-dimensional linear difference delay equations, i.e., dynamics for which the state at a given time is obtained as a linear com…
A mathematical model of the visual MacKay effect
Cyprien Tamekue, Dario Prandi, Yacine Chitour
This paper investigates the intricate connection between visual perception and the mathematical modeling of neural activity in the primary visual cortex (V1). The focus is on model…
On universal classes of Lyapunov functions for linear switched systems
Paolo Mason, Yacine Chitour, Mario Sigalotti
In this paper we discuss the notion of universality for classes of candidate common Lyapunov functions of linear switched systems. On the one hand, we prove that a family of absolu…