Title of Paper:l(2) - l(infinity) filtering of discrete-time switched systems via admissible edge-dependent switching signals

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Date of Publication:2018-03-01

Journal:SYSTEMS & CONTROL LETTERS

Included Journals:SCIE

Volume:113

Page Number:17-26

ISSN No.:0167-6911

Key Words:Admissible edge-dependent average dwell time; Multiple Lyapunov-like functions; Discrete-time switched system; l(2) - l(infinity) filter

Abstract:The problems of stability and l(2) - l(infinity) filtering are studied in this paper for a class of discrete-time switched systems. A novel admissible edge-dependent average dwell time switching is proposed on the basis of the directed graph. A condition ensuring the global uniform exponential stability of discrete-time switched systems is established. A new inequality that depicted the relation between Lyapunov-like function and disturbances is presented to guarantee the l(2) - l(infinity) performance. Combined with the multiple Lyapunov-like function technology, the filtering error system is proved to be globally uniformly exponentially stable with l(2) - l(infinity) performance, and the corresponding filter can also be obtained. Finally, three numerical examples are illustrated to show the effectiveness of the proposed results. (C) 2017 Elsevier B.V. All rights reserved.