Region of exponential stability of switched linear systems on time scales*

https://doi.org/10.1016/j.ifacol.2015.11.158Get rights and content

Abstract

This paper deals with the stability analysis of a class of linear time-invariant switched systems on non-uniform time domains. The considered class consists of a set of linear continuous-time and linear discrete-time subsystems. Some sufficient and necessary conditions are derived to guarantee the exponential stability of this class of systems on time scales with bounded graininess function, introducing a region of exponential stability. Some examples illustrate these results.

Keywords

Time scale
Switched systems
Stability analysis
Exponential stability

Cited by (0)

*

This work has been supported by International Campus on Safety and Intermodality in Transportation, the European Community, the Delegation Regionale a la Recherche et a la Technologie, the Ministere de l'Enseignement sup_erieur et de la Recherche, the Region Nord Pas de Calais and the Centre National de la Recherche Scienti_que.

View Abstract