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Robust Decentralized Stabilization of Uncertain Large-Scale Discrete-Time Systems with Delays

Author

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  • J.H. Park

    (Yeungnam University)

Abstract

This paper describes the synthesis of robust decentralized controllers for uncertain large-scale discrete-time systems with time delays in the subsystem interconnections. Based on the Lyapunov method, a sufficient condition for robust stability is derived in terms of a linear matrix inequality (LMI). The solutions of the LMIs can be obtained easily using efficient convex optimization techniques. A numerical example is given to illustrate the proposed method.

Suggested Citation

  • J.H. Park, 2002. "Robust Decentralized Stabilization of Uncertain Large-Scale Discrete-Time Systems with Delays," Journal of Optimization Theory and Applications, Springer, vol. 113(1), pages 105-119, April.
    • Handle: RePEc:spr:joptap:v:113:y:2002:i:1:d:10.1023_a:1014809314463
    DOI: 10.1023/A:1014809314463
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    Cited by:

    1. Xiaohong Nian & Zhaomei Sun & Xia Wang, 2012. "Robust Guaranteed Cost Decentralized Stabilization for Uncertain Discrete Large-Scale Systems with Delays via State Feedback and Output Feedback," Journal of Optimization Theory and Applications, Springer, vol. 155(2), pages 694-706, November.
    2. O. M. Kown & J. H. Park, 2006. "Decentralized Guaranteed Cost Control for Uncertain Large-Scale Systems Using Delayed Feedback: LMI Optimization Approach," Journal of Optimization Theory and Applications, Springer, vol. 129(3), pages 391-414, June.
    3. Mehdi Zeynivand & Mehdi Najafi & Mohammad Modarres Yazdi, 2023. "A Recourse Policy to Improve Number of Successful Transplants in Uncertain Kidney Exchange Programs," Journal of Optimization Theory and Applications, Springer, vol. 197(2), pages 476-507, May.

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