A Berger-Wang formula for impulsive switched systems
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910013675536384 |
|---|---|
| author | Chitour, Yacine Daafouz, Jamal Haidar, Ihab Mason, Paolo Sigalotti, Mario |
| author_facet | Chitour, Yacine Daafouz, Jamal Haidar, Ihab Mason, Paolo Sigalotti, Mario |
| contents | This paper addresses a class of impulsive systems defined by a mix of continuous-time and discrete-time switched linear dynamics. We first analyze a related class of weighted discrete-time switched systems for which we establish a Berger--Wang-type result. An analogous result is then derived for impulsive systems and subsequently used to characterize their exponential stability through a spectral approach, thereby extending existing results in switched-systems theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_02434 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Berger-Wang formula for impulsive switched systems Chitour, Yacine Daafouz, Jamal Haidar, Ihab Mason, Paolo Sigalotti, Mario Optimization and Control This paper addresses a class of impulsive systems defined by a mix of continuous-time and discrete-time switched linear dynamics. We first analyze a related class of weighted discrete-time switched systems for which we establish a Berger--Wang-type result. An analogous result is then derived for impulsive systems and subsequently used to characterize their exponential stability through a spectral approach, thereby extending existing results in switched-systems theory. |
| title | A Berger-Wang formula for impulsive switched systems |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2507.02434 |