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arXiv · 2507.02434

A Berger-Wang formula for impulsive switched systems

Yacine Chitour·Jamal Daafouz·Ihab Haidar·Paolo Mason·Mario Sigalotti
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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.

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Yacine Chitour, Jamal Daafouz, Ihab Haidar, Paolo Mason, Mario Sigalotti. 2025-07-03. A Berger-Wang formula for impulsive switched systems. https://arxiv.org/abs/2507.02434

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