A Delay Decomposition Approach to the Stability Analysis of Singular Systems with Interval Time-Varying Delay

Jianmin Jiao and Rui Zhang

Mathematical Problems in Engineering, 2014, vol. 2014, 1-13

Abstract:

This paper investigates delay-dependent stability problem for singular systems with interval time-varying delay. An appropriate Lyapunov-Krasovskii functional is constructed by decomposing the delay interval into multiple equidistant subintervals, where both the information of every subinterval and time-varying delay have been taken into account. Employing the Lyapunov-Krasovskii functional, improved delay-dependent stability criteria for the considered systems to be regular, impulse-free, and stable are established. Finally, two numerical examples are presented to show the effectiveness and less conservativeness of the proposed method.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:679460

DOI: 10.1155/2014/679460

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