New stability criterion of uncertain systems with time-varying delay

Xingwen Liu and Hongbin Zhang

Chaos, Solitons & Fractals, 2005, vol. 26, issue 5, 1343-1348

Abstract: In this paper, the stability problem of uncertain systems with arbitrarily time-varying delay is considered. Based on new Lyapunov–Krasovskii functionals and novel methods to deal with uncertainties and cross-terms, stability conditions are proposed for such systems in terms of linear matrix inequalities (LMIs), which are simpler and less conservative than existing results. A numerical example is given to illustrate our theoretical result.

Date: 2005
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Citations: View citations in EconPapers (11)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:26:y:2005:i:5:p:1343-1348

DOI: 10.1016/j.chaos.2005.04.002

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