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Zbl 1111.93073
He, Yong; Wang, Qing-Guo; Lin, Chong; Wu, Min
Delay-range-dependent stability for systems with time-varying delay. (English)
[J] Automatica 43, No. 2, 371-376 (2007). ISSN 0005-1098

Summary: This paper is concerned with the stability analysis for systems with time-varying delay in a range. An appropriate type of Lyapunov functionals is proposed to investigate the delay-range-dependent stability problem. The present results may improve the existing ones due to a method to estimate the upper bound of the derivative of Lyapunov functional without ignoring some useful terms and the introduction of additional terms into the proposed Lyapunov functional, which take into account the range of delay. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.

MSC 2000:: *93D30 Scalar and vector Lyapunov functions
93C05 Linear control systems
93C15 Control systems governed by ODE

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

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