Stability Analysis of Switched Linear Systems on Non-Uniform Time Domain with Unstable Subsystems

Fatima Zohra Taousser , Michael Defoort (1) , Mohamed Djemai (1) , Serge Nicaise

1 LAMIH - Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201

This paper deals with the stability analysis of a class of switched linear systems evolving on an arbitrary time domain. This class consists of a set of unstable linear continuous-time and unstable linear discrete-time subsystems. Using the time scale theory, some sufficient conditions are derived to guarantee the exponential stability of this class of systems with all modes unstable. Simulation results show the effectiveness of the proposed scheme.

Mots clés: Time scale; Switched systems; Stability analysis; Exponential stability

Domaines: Automatique / Robotique

Fatima Zohra Taousser, Michael Defoort, Mohamed Djemai, Serge Nicaise. Stability Analysis of Switched Linear Systems on Non-Uniform Time Domain with Unstable Subsystems. 20th World Congress of the International Federation of Automatic Control, Jul 2017, Toulouse, France. ⟨10.1016/j.ifacol.2017.08.2524⟩. ⟨hal-03413007⟩