Stability of discrete-time switched systems with admissible edge-dependent switching signals. Issue 5 (4th April 2018)

• Record Type: Journal Article
• Authors: Hou, Linlin; Zhang, Mingzhou; Zhao, Xudong; Sun, Haibin; Zong, Guangdeng
• Is Part Of: International journal of systems science. Volume 49:Issue 5(2018)
• Page Start: 974
• Page End: 983
• Publication Date: 2018-04-04
• Subjects: Admissible edge-dependent average dwell time -- multiple Lyapunov functions -- discrete-time switched system -- unstable subsystems; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2018.1439122
• Languages: English
• ISSNs: 0020-7721

Abstract

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.