Stability criteria for singularly perturbed impulsive linear switched systems
Optimization and Control
2026-02-09 v3
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.
Cite
@article{arxiv.2507.02446,
title = {Stability criteria for singularly perturbed impulsive linear switched systems},
author = {Ihab Haidar and Yacine Chitour and Jamal Daafouz and Paolo Mason and Mario Sigalotti},
journal= {arXiv preprint arXiv:2507.02446},
year = {2026}
}