This paper studies the problem of H control for a class of Markov jump systems with mode-dependent time-varying delays. Using the idea of partitioning the lower delay bound, a novel Lyapunov-Krasovskii functional (LKF) is constructed. Then a new delay-dependent criterion on the stochastic stability is derived in the form of linear matrix inequality (LMI). Based on this, state feedback controllers, which guarantees the stochastic stability of the closed-loop system with given disturbance attenuation, is proposed. An illustrative example is provided to show the reduced conservatism of the proposed result.


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    Title :

    Further results on H∞ control for Markovian jump systems with mode-dependent time-varying delays


    Contributors:
    Zhicheng Li, (author) / Sen Wang, (author) / Zhongyang Fei, (author) / Huijun Gao, (author)


    Publication date :

    2010-06-01


    Size :

    565251 byte




    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English