New delay-dependent stability criteria for systems with interval delay. (English) Zbl 1168.93387

Shao, Hanyong

Automatica 45, No. 3, 744-749 (2009).

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:

93D05	Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
93C05	Linear systems in control theory
93C15	Control/observation systems governed by ordinary differential equations
15A39	Linear inequalities of matrices

Keywords:

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

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