Necessary conditions for the stability of singularly perturbed linear systems with switching slow-fast behaviors
We consider linear singularly perturbed dynamics in which the set of fast variables is a switching parameter. We introduce auxiliary switching systems (in a single time-scale) whose instability implies the instability of the original dynamics. This translates into necessary conditions for the stability of the considered dynamics.
Authors
- Yacine Chitour (ORCID: https://orcid.org/0000-0002-3214-5824)
- Jamal Daafouz (ORCID: https://orcid.org/0000-0001-8313-8790)
- Ihab Haidar (ORCID: https://orcid.org/0000-0002-2308-7909)
- Paolo Mason (ORCID: https://orcid.org/0000-0002-2583-9991)
- Mario Sigalotti (ORCID: https://orcid.org/0000-0002-9013-1076)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Institut national de recherche en sciences et technologies du numérique (FR)
- Institut Universitaire de France (FR)
- Université Paris-Saclay (FR)
- Sorbonne Université (FR)
- Laboratoire des signaux et systèmes (FR)
- Centre de Recherche en Automatique de Nancy (FR)
- Institut Supérieur de Mécanique de Paris (FR)
- Laboratoire Jacques-Louis Lions (FR)
- Laboratoire Quartz (FR)
- École Nationale Supérieure de l'Électronique et de ses Applications (FR)
- Université de Lorraine (FR)
Publication Details
- Published
- 2024-12-16
- DOI
- https://doi.org/10.1109/cdc56724.2024.10886229
- Primary Topic
- Differential Equations and Numerical Methods
- Type
- article
- Field-Weighted Citation Impact
- 0.00