Indexed by:Journal Article

Date of Publication:2018-01-01

Journal:INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE

Included Journals:EI、SCIE

Volume:49

Issue:5

Page Number:974-983

ISSN:0020-7721

Key Words:Admissible edge-dependent average dwell time; multiple Lyapunov functions; discrete-time switched system; unstable subsystems

Abstract:The problem of stability is studied in this paper for a class of discrete-time switched systems with unstable subsystems. Two new definitions of slow switching and fast switching on the basis of admissible edge-dependent average dwell time are proposed, respectively. Some conditions are established by using multiple Lyapunov function method to guarantee the global uniform exponential stability of discrete-time switched systems. Finally, a numerical example is presented to demonstrate the effectiveness of the proposed results.