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Indexed by:期刊论文

Date of Publication:2008-11-01

Journal:AUTOMATICA

Included Journals:SCIE、EI、Scopus

Volume:44

Issue:11

Page Number:2902-2908

ISSN No.:0005-1098

Key Words:Discrete systems; Delay-dependent criteria; Piecewise Lyapunov functional; Switching method; Large delay sequence

Abstract:This paper considers the exponential stability problem for a class of discrete time-varying delay systems with large delay sequences (LDSs). A new method based on a switching technique is presented to solve this problem. A switched delay system, in which one of the discrete subsystems may be unstable, is firstly employed to describe such a system, and then some new concepts about LDSs are introduced. Next, using a novel piecewise Lyapunov functional, explicit delay-dependent conditions are developed to show how long and how frequent the LDSs can be and still maintain the system exponentially stable. Without LDSs, the criterion obtained in this paper includes the established one as a special case. Two numerical examples are given to show the effectiveness of the proposed method. (C) 2008 Elsevier Ltd. All rights reserved.