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Zbl 1168.93387
Shao, Hanyong
New delay-dependent stability criteria for systems with interval delay. (English)
[J] Automatica 45, No. 3, 744-749 (2009). ISSN 0005-1098

Summary: This paper provides a new delay-dependent stability criterion for systems with a delay varying in an interval. With a different Lyapunov functional defined, a tight upper bound of its derivative is given. The resulting criterion has advantages over some previous ones in that it involves fewer matrix variables but has less conservatism, which is established theoretically. Examples are provided to demonstrate the advantage of the stability result.

MSC 2000:: *93D05 Lyapunov and other classical stabilities of control systems
93C05 Linear control systems
93C15 Control systems governed by ODE
15A39 Linear inequalities

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

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