A Berger-Wang formula for impulsive switched systems
Optimization and Control
2026-02-09 v3
Abstract
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 discrete-time switched systems for which we establish a Berger--Wang-type result. An analogous result is then derived for impulsive systems and subsequently used to characterize their exponential stability through a spectral approach, thereby extending existing results in switched-systems theory.
Cite
@article{arxiv.2507.02434,
title = {A Berger-Wang formula for impulsive switched systems},
author = {Yacine Chitour and Jamal Daafouz and Ihab Haidar and Paolo Mason and Mario Sigalotti},
journal= {arXiv preprint arXiv:2507.02434},
year = {2026}
}