{"ID":2898675,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2507.02446","arxiv_id":"2507.02446","title":"Stability criteria for singularly perturbed impulsive linear switched systems","abstract":"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 switched systems evolving in a single time scale. We prove that the stability or instability of these auxiliary systems directly determines that of the original system in the regime of small singular perturbation parameters.","short_abstract":"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 switched systems evolving in a single time scale. We prove that the stability or instability of these auxiliary systems directly determines th...","url_abs":"https://arxiv.org/abs/2507.02446","url_pdf":"https://arxiv.org/pdf/2507.02446v3","authors":"[\"Ihab Haidar\",\"Yacine Chitour\",\"Jamal Daafouz\",\"Paolo Mason\",\"Mario Sigalotti\"]","published":"2025-07-03T09:04:21Z","proceeding":"math.OC","tasks":"[\"math.OC\"]","methods":"[]","has_code":false}