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Quantized State‐Feedback Stabilization for Delayed Markovian Jump Linear Systems with Generally Incomplete Transition Rates

Author

Listed:
  • Yanbo Li
  • Peng Zhang
  • Yonggui Kao
  • Hamid Reza Karimi

Abstract

This paper is concerned with the robust quantized state‐feedback controller design problem for a class of continuous‐time Markovian jump linear uncertain systems with general uncertain transition rates and input quantization. The uncertainties under consideration emerge in both system parameters and mode transition rates. This new uncertain model is more general than the existing ones and can be applicable to more practical situations because each transition rate can be completely unknown or only its estimate value is known. Based on linear matrix inequalities, the quantized state‐feedback controller is formulated to ensure the closed‐loop system is stable in mean square. Finally, a numerical example is presented to verify the validity of the developed theoretical results.

Suggested Citation

  • Yanbo Li & Peng Zhang & Yonggui Kao & Hamid Reza Karimi, 2014. "Quantized State‐Feedback Stabilization for Delayed Markovian Jump Linear Systems with Generally Incomplete Transition Rates," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:961925
    DOI: 10.1155/2014/961925
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    References listed on IDEAS

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    1. Yonggui Kao & Hamid Reza Karimi, 2014. "Stability in Mean of Partial Variables for Coupled Stochastic Reaction‐Diffusion Systems on Networks: A Graph Approach," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Yonggui Kao & Hamid Reza Karimi, 2014. "Stability in Mean of Partial Variables for Coupled Stochastic Reaction-Diffusion Systems on Networks: A Graph Approach," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-13, May.
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