{"ID":2898667,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2507.02434","arxiv_id":"2507.02434","title":"A Berger-Wang formula for impulsive switched systems","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.","short_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 s...","url_abs":"https://arxiv.org/abs/2507.02434","url_pdf":"https://arxiv.org/pdf/2507.02434v3","authors":"[\"Yacine Chitour\",\"Jamal Daafouz\",\"Ihab Haidar\",\"Paolo Mason\",\"Mario Sigalotti\"]","published":"2025-07-03T08:43:28Z","proceeding":"math.OC","tasks":"[\"math.OC\"]","methods":"[]","has_code":false}