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    Necessary and sufficient condition for robust stability of discrete-time descriptor polytopic systems

    Access Status
    Fulltext not available
    Authors
    Gao, X.
    Teo, Kok Lay
    Duan, G.
    Zhang, X.
    Date
    2011
    Type
    Journal Article
    
    Metadata
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    Citation
    Gao, X. and Teo, K.L. and Duan, G.-R. and Zhang, X. 2011. Necessary and sufficient condition for robust stability of discrete-time descriptor polytopic systems. IET Control Theory & Applications. 5 (5): pp. 713-720.
    Source Title
    IET Control Theory & Applications
    DOI
    10.1049/iet-cta.2010.0145
    ISSN
    1751-8644
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/15033
    Collection
    • Curtin Research Publications
    Abstract

    This study investigates the robust stability of discrete-time descriptor polytopic systems. Necessary and sufficient conditions for robust stability expressed as parameterised linear matrix inequalities (LMIs) are obtained. Furthermore, the parameterised LMIs are reduced to parameter-independent and finite-dimensional LMIs. Finally, two numerical examples are given, illustrating the effectiveness of the proposed method.

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