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Improved analysis of Markovian jumping stochastic systems with time-varying delays

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  • Jianjiang Yu
  • Wuji Sun
  • Honghai Liu

Abstract

This article investigates the problems of H∞ analysis for Markovian jump stochastic systems with both nonlinear disturbance and time-varying delays. By virtue of the delay partition approach, the improved delay-dependent stochastic stability and bounded real lemma (BRL) for Markovian jump stochastic systems are obtained in terms of linear matrix inequalities (LMIs). The proposed approach involves neither free weighting matrices nor any model transformation, and it is shown that the new criteria have the capability of providing less conservative results than the state-of-the-art. Two numerical simulations are conducted to demonstrate the effectiveness of the proposed method in comparison with existing methods.

Suggested Citation

  • Jianjiang Yu & Wuji Sun & Honghai Liu, 2013. "Improved analysis of Markovian jumping stochastic systems with time-varying delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(3), pages 521-532.
    • Handle: RePEc:taf:tsysxx:v:44:y:2013:i:3:p:521-532
    DOI: 10.1080/00207721.2011.617524
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