期刊
AUTOMATICA
卷 46, 期 2, 页码 466-470出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2009.11.002
关键词
Time-varying delay; Lyapunov-Krasovskii functional; Delay-range-dependent stability; Linear matrix inequality (LMI)
资金
- Beijing Education Committee Cooperation Building Foundation [XK100070532]
- China Postdoctoral Science Foundation [20080440308]
This paper is concerned with the stability analysis of linear systems with time-varying delays in a given range. A new type of augmented Lyapunov functional is proposed which contains some triple-integral terms. In the proposed Lyapunov functional, the information on the lower bound of the delay is fully exploited. Some new stability criteria are derived in terms of linear matrix inequalities without introducing any free-weighting matrices. Numerical examples are given to illustrate the effectiveness of the proposed method. (C) 2009 Elsevier Ltd. All rights reserved.
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