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Stability criteria for hybrid linear systems with singular perturbations
Published 3 Jul 2025 in math.OC | (2507.02446v1)
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. 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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