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Delay-dependent stability analysis for discrete-time singular Markovian jump systems with time-varying delay

Author

Listed:
  • Zheng-Guang Wu
  • Peng Shi
  • Hongye Su
  • Jian Chu

Abstract

This article considers the problem of delay-dependent stability analysis for a class of discrete-time singular systems with Markovian jump and time-varying delay. The transition probabilities in Markov chain are assumed to be partially unknown. In terms of linear matrix inequality approach, the delay-dependent criteria are proposed to ensure the underlying system to be regular, causal and stochastically stable. Several numerical examples are given to demonstrate the effectiveness and less conservatism of the obtained results.

Suggested Citation

  • Zheng-Guang Wu & Peng Shi & Hongye Su & Jian Chu, 2012. "Delay-dependent stability analysis for discrete-time singular Markovian jump systems with time-varying delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(11), pages 2095-2106.
    • Handle: RePEc:taf:tsysxx:v:43:y:2012:i:11:p:2095-2106
    DOI: 10.1080/00207721.2011.564327
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    Cited by:

    1. Xin-zhuang Dong, 2014. "Admissibility analysis of linear singular systems via a delta operator method," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(11), pages 2366-2375, November.
    2. Y. Y. Wang & P. F. Zhou & Q. B. Wang & D. P. Duan, 2014. "State Estimation and Reliable Control of Singular Markovian Systems with Distributed State Delays and Input Delays," Journal of Optimization Theory and Applications, Springer, vol. 162(1), pages 313-328, July.
    3. Ping Chen & Jing Yang & Linyuan Li, 2015. "Synthetic detection of change point and outliers in bilinear time series models," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(2), pages 284-293, January.
    4. Yongming Li & Shaocheng Tong, 2016. "Adaptive fuzzy switched control design for uncertain nonholonomic systems with input nonsmooth constraint," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(14), pages 3436-3446, October.
    5. Houssem Jerbi & Mourad Kchaou & Attia Boudjemline & Mohamed Amin Regaieg & Sondes Ben Aoun & Ahmed Lakhdar Kouzou, 2021. "H ∞ and Passive Fuzzy Control for Non-Linear Descriptor Systems with Time-Varying Delay and Sensor Faults," Mathematics, MDPI, vol. 9(18), pages 1-25, September.
    6. Wei Guan & Lei Fu & Yuechao Ma, 2019. "Finite-Time Filtering for Discrete-Time Singular Markovian Jump Systems with Time Delay and Input Saturation," Complexity, Hindawi, vol. 2019, pages 1-22, April.

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