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Less conservative robust stability criteria for uncertain discrete stochastic singular systems with time-varying delay

Author

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  • Jian-Ning Li
  • Hongye Su
  • Zheng-Guang Wu
  • Jian Chu

Abstract

The problem of robust stabilisation for uncertain discrete singular systems with time-varying delay is discussed in this article. First, a new delay-distribution-dependent Lyapunov function is established. Then, sufficient conditions are proposed for guaranteeing that the uncertain discrete singular system with time-varying delay has the properties of regularity, causality and stability. Finally, a suitable robust state feedback controller is designed by linear matrix inequality. Numerical examples illustrate that the results derived from the proposed method are less conservative than the existing ones.

Suggested Citation

  • Jian-Ning Li & Hongye Su & Zheng-Guang Wu & Jian Chu, 2013. "Less conservative robust stability criteria for uncertain discrete stochastic singular systems with time-varying delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(3), pages 432-441.
    • Handle: RePEc:taf:tsysxx:v:44:y:2013:i:3:p:432-441
    DOI: 10.1080/00207721.2011.601350
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    Cited by:

    1. Wenyong Duan & Baozhu Du & Jing You & Yun Zou, 2015. "Improved robust stability criteria for a class of Lur'e systems with interval time-varying delays and sector-bounded nonlinearity," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(5), pages 944-954, April.

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