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Stochastic admissibility analysis of singular Markovian jump systems via improved techniques

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  • Yufeng Tian
  • Yuzhong Wang
  • Limin Ma
  • Junchao Ren

Abstract

This paper studies the problem of the stochastic admissibility for singular Markovian jump systems with time-varying delay. By introducing two exponential parameters, a new version of reciprocally convex inequality named exponential type reciprocally convex inequality is proposed, which covers some existing results as its special cases. Based on the second-order B-L inequality, a novel delay-product-type functional is proposed to fully capture the information among system states and time-varying delay. Based on the two improved techniques, a less conservative admissibility condition is obtained in terms of linear matrix inequalities. Two examples are introduced to illustrate the effectiveness of the proposed result.

Suggested Citation

  • Yufeng Tian & Yuzhong Wang & Limin Ma & Junchao Ren, 2021. "Stochastic admissibility analysis of singular Markovian jump systems via improved techniques," International Journal of Systems Science, Taylor & Francis Journals, vol. 52(14), pages 2977-2987, October.
    • Handle: RePEc:taf:tsysxx:v:52:y:2021:i:14:p:2977-2987
    DOI: 10.1080/00207721.2021.1915409
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