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Indexed by:期刊论文

Date of Publication:2012-06-01

Journal:INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL

Included Journals:SCIE、EI、Scopus

Volume:8

Issue:6

Page Number:4235-4247

ISSN No.:1349-4198

Key Words:Delay-dependent criterion; Switched delay systems; Piecewise Lyapunov functional; Large delay period

Abstract:This paper studies an exponential stability problem for a class of time-varying delay systems with large delay period. The time-varying delay is interval-range. Although large delay period (LDP) is often present in practical control systems, the problems of stability analysis for such systems have been unsolved to date. In this paper, a new method based on switching technique is proposed to solve the case of LDP. It addresses how long and how frequent the LDP can be and still maintain the system exponentially stable. We first utilize switched delay systems, which may include an unstable subsystem, to model such a system. Then, the concepts of frequency and length rate of LDP are introduced. Next, based on a novel piecewise Lyapunov functional including the large-delay-integral terms (LDITs), sufficient conditions guaranteeing exponential stability are developed. Without LDP, the criterion obtained in this paper contains results already published as a special case. Two numerical examples are given to show the effectiveness of the proposed method.