A Berger-Wang formula for impulsive linear switched systems

HAL 2026 Preprint Open access

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Authors: Yacine Chitour, Jamal Daafouz, Ihab Haidar, Paolo Mason, Mario Sigalotti
Cited by: 0

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.

Fields of Study & Subjects

Stability and Control of Uncertain Systems Nonlinear Differential Equations Analysis Stability and Controllability of Differential Equations

Publication details

Journal / source
HAL
Publication date
1 February 2026
Language
EN
Document type
Preprint