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

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  • Jianmin Jiao
  • Rui Zhang

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.

Suggested Citation

  • Jianmin Jiao & Rui Zhang, 2014. "A Delay Decomposition Approach to the Stability Analysis of Singular Systems with Interval Time-Varying Delay," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-13, July.
    • Handle: RePEc:hin:jnlmpe:679460
    DOI: 10.1155/2014/679460
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