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State Estimation and Reliable Control of Singular Markovian Systems with Distributed State Delays and Input Delays

Author

Listed:
  • Y. Y. Wang

    (Shanghai Jiao Tong University)

  • P. F. Zhou

    (Shanghai Jiao Tong University)

  • Q. B. Wang

    (Shanghai Jiao Tong University)

  • D. P. Duan

    (Shanghai Jiao Tong University)

Abstract

This paper is concerned with state estimation and reliable control for singular Markovian jump systems with distributed state delays and input delays. Firstly, an observer is designed to estimate the system states, and a reliable controller is proposed based on the state estimates. Moreover, some conditions for the mean-square exponential admissibility of the overall closed-loop system are derived in terms of strict linear matrix inequality (LMI).

Suggested Citation

  • 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.
    • Handle: RePEc:spr:joptap:v:162:y:2014:i:1:d:10.1007_s10957-012-0204-5
    DOI: 10.1007/s10957-012-0204-5
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    References listed on IDEAS

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    1. Ali Y. Al-Rayyah & Magdi S. Mahmoud, 2010. "Decentralized Reliable Control of Interconnected Time-Delay Systems Against Sensor Failures," Journal of Optimization Theory and Applications, Springer, vol. 147(2), pages 318-336, November.
    2. E. K. Boukas & S. Xu & J. Lam, 2005. "On Stability and Stabilizability of Singular Stochastic Systems with Delays," Journal of Optimization Theory and Applications, Springer, vol. 127(2), pages 249-262, November.
    3. M. S. Mahmoud, 2009. "Decentralized Reliable Control of Interconnected Systems with Time-Varying Delays," Journal of Optimization Theory and Applications, Springer, vol. 143(3), pages 497-518, December.
    4. Magdi S. Mahmoud, 2010. "Resilient Decentralized Stabilization for Interconnected Discrete-Time Systems," Journal of Optimization Theory and Applications, Springer, vol. 145(3), pages 507-525, June.
    5. 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.
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