Stochastic admissibility analysis of singular Markovian jump systems via improved techniques

Yufeng Tian, Yuzhong Wang, Limin Ma and Junchao Ren

International Journal of Systems Science, 2021, vol. 52, issue 14, 2977-2987

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.

Date: 2021
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DOI: 10.1080/00207721.2021.1915409

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