Characterization of stability transitions and practical stability of planar singularly perturbed linear switched systems

Fouad El Hachemi (1) , Mario Sigalotti (2, 3) , Jamal Daafouz (1)

1 CRAN - Centre de Recherche en Automatique de Nancy
2 CORIDA - Robust control of infinite dimensional systems and applications
3 IECN - Institut Élie Cartan de Nancy

This paper is concerned with the stability of pla- nar linear singularly perturbed switched systems in continuous time. Based on a necessary and sufficient stability condition, we characterize all possible stability transitions for this class of switched systems and we propose a practical stability result.

Mots clés: Stability of hybrid systems; Switched systems

Domaines: Automatique / Robotique

Fouad El Hachemi, Mario Sigalotti, Jamal Daafouz. Characterization of stability transitions and practical stability of planar singularly perturbed linear switched systems. 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, Dec 2011, Orlando, Florida, United States. pp.423-428, ⟨10.1109/CDC.2011.6160234⟩. ⟨hal-00651294⟩