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Improved Stability Criteria for Markovian Jump Systems with Time‐Varying Delays

Author

Listed:
  • Yu-cai Ding
  • Hui Liu
  • Baodan Tian

Abstract

The delay‐dependent stochastic stability problem of Markovian jump systems with time‐varying delays is investigated in this paper. Though the Lyapunov‐Krasovskii functional is general and simple, less conservative results are derived by using the convex combination method, improved Wirtinger’s integral inequality, and a slack condition on Lyapunov matrix. The obtained results are formulated in terms of linear matrix inequalities (LMIs). Numerical examples are provided to verify the effectiveness and superiority of the presented results.

Suggested Citation

  • Yu-cai Ding & Hui Liu & Baodan Tian, 2014. "Improved Stability Criteria for Markovian Jump Systems with Time‐Varying Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:248061
    DOI: 10.1155/2014/248061
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    References listed on IDEAS

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    1. Jianwei Xia, 2014. "Delay-Dependent Robust Exponential Stability and Analysis for a Class of Uncertain Markovian Jumping System with Multiple Delays," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, March.
    2. Jianwei Xia, 2014. "Delay‐Dependent Robust Exponential Stability and H∞ Analysis for a Class of Uncertain Markovian Jumping System with Multiple Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
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