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arXiv · 2507.02446

Stability criteria for singularly perturbed impulsive linear switched systems

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

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Ihab Haidar, Yacine Chitour, Jamal Daafouz, Paolo Mason, Mario Sigalotti. 2025-07-03. Stability criteria for singularly perturbed impulsive linear switched systems. https://arxiv.org/abs/2507.02446

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