Stability analysis of a class of uncertain switched systems on time scale using Lyapunov functions. (May 2015)

• Record Type: Journal Article
• Authors: Taousser, Fatima Zohra; Defoort, Michael; Djemai, Mohamed
• Is Part Of: Nonlinear analysis. Volume 16(2015)
• Page Start: 13
• Page End: 23
• Publication Date: 2015-05
• Subjects: Time scales -- Switched systems -- Stability analysis -- Lyapunov function -- Leader–follower consensus; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2014.12.001
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper deals with the stability analysis of a class of uncertain switched systems on non-uniform time domains. The considered class consists of dynamical systems which commute between an uncertain continuous-time subsystem and an uncertain discrete-time subsystem during a certain period of time. The theory of dynamic equations on time scale is used to study the stability of these systems on non-uniform time domains formed by a union of disjoint intervals with variable length and variable gap. Using the concept of common Lyapunov function, sufficient conditions are derived to guarantee the asymptotic stability of this class of systems on time scale with bounded graininess function. The proposed scheme is used to study the leader–follower consensus problem under intermittent information transmissions.