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New stability criteria for linear systems with interval time-varying delays via an extended state vector | IEEE Conference Publication | IEEE Xplore
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New stability criteria for linear systems with interval time-varying delays via an extended state vector


Abstract:

This paper considers the stability problem of time-delayed system with interval time-varying delays. Based on a new Lyapunov-Krasovskii functional, improved stability cri...Show More

Abstract:

This paper considers the stability problem of time-delayed system with interval time-varying delays. Based on a new Lyapunov-Krasovskii functional, improved stability criteria are derived in terms of linear matrix inequalities(LMIs). By efficiently applying Jensen inequality lemma, the lower bound lemma for reciprocal convexity, and Wirtinger-based integral inequality lemma, the tighter upper bound of the derivative of the proposed Lyapunov-Krasovskii functional is obtained. A numerical examples show the effectiveness of the proposed approaches by comparison of the maximum delay bounds.
Date of Conference: 31 May 2015 - 03 June 2015
Date Added to IEEE Xplore: 10 September 2015
Electronic ISBN:978-1-4799-7862-5
Conference Location: Kota Kinabalu, Malaysia

References

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