12 papers
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…
Strong Stability of Linear Functional Equations with Distributed Delays
Yacine Chitour, Felipe Gonçalves Netto, Guilherme Mazanti
This paper considers linear functional equations on with distributed delays defined by matrix-valued measures of bounded variation. More precisely, we are interested…
On Robust Fixed-Time Stabilization of the Cauchy Problem in Hilbert Spaces
Moussa Labbadi, Christophe Roman, Yacine Chitour
This paper presents finite-time and fixed-time stabilization results for inhomogeneous abstract evolution problems, extending existing theories. We prove well-posedness for strong…
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…
Hadamard-Lévy theorems for maps taking values in a finite dimensional space
Yacine Chitour, Zhengping Ji, Emmanuel Trélat
We propose global surjectivity theorems of differentiable maps based on second order conditions. Using the homotopy continuation method, we demonstrate that, for a differenti…