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http://dx.doi.org/10.5370/KIEE.2011.60.9.1748

Stability of Linear Systems with Interval Time-varying Delay via New Interval Decomposition  

Kim, Jin-Hoon (충북대학교 전자정보대학 전자공학부)
Publication Information
The Transactions of The Korean Institute of Electrical Engineers / v.60, no.9, 2011 , pp. 1748-1753 More about this Journal
Abstract
In this paper, we consider the stability of linear systems with an interval time-varying delay. It is known that the adoption of decomposition of delay improves the stability result. For the interval time-delay case, they applied it to the interval of time-delay and got less conservative results. Our basic idea is to apply the general decomposition to the low limit of delay as well as interval of time-delay. Based on this idea, by using the modified Lyapunov-Krasovskii functional and newly derived Lemma, we present a less conservative stability criterion expressed as in the form of linear matrix inequality(LMI). Finally, we show, by well-known two examples, that our result is less conservative than the recent results.
Keywords
Stability; Interval time-delay; General decomposition; Lyapunov-Krasovskii; LMI;
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