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Zbl 1155.93405
Jiang, Xiefu; Han, Qing-Long
New stability criteria for linear systems with interval time-varying delay. (English)
[J] Automatica 44, No. 10, 2680-2685 (2008). ISSN 0005-1098

Summary: This paper investigates robust stability of uncertain linear systems with interval time-varying delay. The time-varying delay is assumed to belong to an interval and is a fast time-varying function. The uncertainty under consideration includes polytopic-type uncertainty and linear fractional norm-bounded uncertainty. A new Lyapunov-Krasovskii functional, which makes use of the information of both the lower and upper bounds of the interval time-varying delay, is proposed to drive some new delay-dependent stability criteria. In order to obtain much less conservative results, a tighter bounding for some term is estimated. Moreover, no redundant matrix variable is introduced. Finally, three numerical examples are given to show the effectiveness of the proposed stability criteria.

MSC 2000:: *93D09 Robust stability of control systems
93D20 Asymptotic stability of control systems
93C15 Control systems governed by ODE

Keywords: Lyapunov-Krasovskii functional; robustness; uncertainty; stability; delay; linear matrix inequality (LMI)

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