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Qian, Wei; Cong, Shen; Sun, Youxian; Fei, Shumin

Novel robust stability criteria for uncertain systems with time-varying delay. (English) Zbl 1192.34087

Appl. Math. Comput. 215, No. 2, 866-872 (2009).
This paper is concerned with delay-dependent stability and robust stability criteria for linear systems with time-varying delay and norm-bounded uncertainties. Based on the Lyapunov method, new criteria are obtained by using integral inequalities, slack matrices and a newly established convex combination condition. Numerical examples are given to illustrate the improvement on the conservatism of the delay bound over some reported results in the literature.
Reviewer: Zhiming Guo (Ontario)

Cited in 20 Documents

MSC:

34K20 Stability theory of functional-differential equations
34K06 Linear functional-differential equations

Keywords:

delayed systems; stability; time-varying delay; uncertainty; linear matrix inequality
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\textit{W. Qian} et al., Appl. Math. Comput. 215, No. 2, 866--872 (2009; Zbl 1192.34087)
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References:

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