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Zbl 1205.93139
Sun, Jian; Liu, G.P.; Chen, Jie; Rees, D.
Improved delay-range-dependent stability criteria for linear systems with time-varying delays. (English)
[J] Automatica 46, No. 2, 466-470 (2010). ISSN 0005-1098

Summary: 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.

MSC 2000:: *93D30 Scalar and vector Lyapunov functions
93C05 Linear control systems
93C15 Control systems governed by ODE
34H05 ODE in connection with control problems

Keywords: time-varying delay; Lyapunov-Krasovskii functional; delay-range-dependent stability; linear matrix inequality (LMI)

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