New Delay-Dependent Stability Criteria for Systems with Interval Time-Varying Delay

Dong Sheng Xu; Jun Kang Tian

doi:10.4028/www.scientific.net/AMM.48-49.734

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 48-49New Delay-Dependent Stability Criteria for Systems...

New Delay-Dependent Stability Criteria for Systems with Interval Time-Varying Delay

Abstract:

This paper is concerned with delay-dependent stability for systems with interval time varying delay. By defining a new Lyapunov functional which contains a triple-integral term with the idea of decomposing the delay interval of time-varying delay, an improved criterion of asymptotic stability is derived in term of linear matrix inequalities. The criterion proves to be less conservative with fewer matrix variables than some previous ones. Finally, a numerical example is given to show the effectiveness of the proposed method.

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Periodical:

Applied Mechanics and Materials (Volumes 48-49)

Pages:

734-739

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.48-49.734

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Online since:

February 2011

Authors:

Dong Sheng Xu, Jun Kang Tian

Keywords:

Delay Dependent Stability, Interval Delay, Linear Matrix Inequality (LMI), Time-Varying System

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