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On Delay-Dependent Stability of Markov Jump Systems with Distributed Time-Delays

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Abstract

This paper studies the robust stochastic stability problem for a class of Markov jump systems with norm bounded uncertain parameters and distributed time-delays. Integral inequality techniques together with Lyapunov–Krasovskii functional approach are employed to develop new delay-dependent sufficient conditions for stochastic stability. The main results are derived via linear matrix inequalities formulation. Simulation examples illustrate the effectiveness of the developed techniques.

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Authors and Affiliations

  1. Key Laboratory of Advanced Process Control for Light Industry, Ministry of Education, Jiangnan University, Wuxi, Jiangsu, 214122, P.R. China

    Shuping He & Fei Liu

  2. Institute of Automation, Jiangnan University, Wuxi, Jiangsu, 214122, P.R. China

    Shuping He & Fei Liu

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  1. Shuping He
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  2. Fei Liu
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Correspondence to Fei Liu.

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He, S., Liu, F. On Delay-Dependent Stability of Markov Jump Systems with Distributed Time-Delays. Circuits Syst Signal Process 30, 323–337 (2011). https://doi.org/10.1007/s00034-010-9224-2

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  • DOI: https://doi.org/10.1007/s00034-010-9224-2

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