Stochastic stability analysis of Markovian jump systems with additive mode-dependent time-varying delays and partially known transition rates

Fang Liu, Qianyi Liu, Weiru Guo and Yong Li

International Journal of Systems Science, 2022, vol. 53, issue 12, 2612-2623

Abstract: This paper focuses on the stochastic stability of the Markovian jump systems with two additive mode-dependent time-varying delays and partially known transition rates. First, a novel mode-dependent Lyapunov-Krasovskii functional (LKF) is constructed and the single integral terms in the derivative of LKF are estimated by the generalised free-weighting-matrix-based integral inequality. Then, some stability criteria in terms of linear matrix inequalities are obtained by using the convex combination technique. Finally, two numerical examples are presented to illustrate the feasibility of the proposed method.

Date: 2022
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DOI: 10.1080/00207721.2021.2008043

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