Necessary conditions for the stability of singularly perturbed linear systems with switching slow-fast behaviors
Year: 2024
Type: conference-paper
Abstract: 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.
Institutions: Centre National de la Recherche Scientifique, Université Paris-Saclay, Laboratoire des signaux et systèmes, Institut Supérieur de Mécanique de Paris, Laboratoire Quartz, École Nationale Supérieure de l'Électronique et de ses Applications, Institut Universitaire de France, Université de Lorraine, CRAN, Institut national de recherche en sciences et technologies du numérique, Sorbonne Université, Laboratoire Jacques-Louis Lions, CAGE: Contrôle et géométrie
Language: English
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4404749855