Stability criteria for singularly perturbed impulsive linear switched systems
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917253127077888 |
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| author | Haidar, Ihab Chitour, Yacine Daafouz, Jamal Mason, Paolo Sigalotti, Mario |
| author_facet | Haidar, Ihab Chitour, Yacine Daafouz, Jamal Mason, Paolo Sigalotti, Mario |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_02446 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability criteria for singularly perturbed impulsive linear switched systems Haidar, Ihab Chitour, Yacine Daafouz, Jamal Mason, Paolo Sigalotti, Mario Optimization and Control 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. |
| title | Stability criteria for singularly perturbed impulsive linear switched systems |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2507.02446 |