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Bibliographic Details
Main Authors: Haidar, Ihab, Chitour, Yacine, Daafouz, Jamal, Mason, Paolo, Sigalotti, Mario
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2507.02446
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Table of Contents:
  • 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.