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    Stochastic stability for discrete-time antilinear systems with Markovian jumping parameters

    Access Status
    Fulltext not available
    Authors
    Wu, A.
    Qian, Y.
    Liu, Wan-Quan
    Date
    2015
    Type
    Journal Article
    
    Metadata
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    Citation
    Wu, A. and Qian, Y. and Liu, W. 2015. Stochastic stability for discrete-time antilinear systems with Markovian jumping parameters. IET Control Theory and Applications. 9 (9): pp. 1399-1410.
    Source Title
    IET Control Theory and Applications
    DOI
    10.1049/iet-cta.2014.1107
    ISSN
    1751-8644
    School
    Department of Computing
    URI
    http://hdl.handle.net/20.500.11937/2770
    Collection
    • Curtin Research Publications
    Abstract

    In this study, the discrete-time antilinear systems with Markovian jumping parameters are investigated. The concept of stochastic stability is extended to the context of discrete-time Markovian jump (DTMJ) antilinear systems. By using stochastic Lyapunov approach, the authors derive some necessary and sufficient conditions for a DTMJ antilinear system to be stochastically stable in terms of coupled anti-Lyapunov matrix equations. In addition, two types of iterative algorithms are proposed to solve these coupled anti-Lyapunov matrix equations. Finally, some numerical examples are given to show the efficiency of the proposed algorithms and potential applications of the obtained results on antilinear systems.

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