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    D-Stability and Delay-independent stability of homogeneous cooperative systems


    Samadi Bokharaie, Vahid and Mason, Oliver and Verwoerd, Mark (2010) D-Stability and Delay-independent stability of homogeneous cooperative systems. IEEE Transactions on Automatic Control, 55 (12). ISSN 0018-9286

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    Abstract

    We introduce a nonlinear definition of D-stability, extending the usual concept for positive linear time-invariant systems. We show that globally asymptotically stable, cooperative systems, homogeneous of any order with respect to arbitrary dilation maps are D-stable. We also prove a strong stability result for delayed cooperative homogeneous systems. Fi- nally, we show that both of these results also hold for planar cooperative systems without the restriction of homogeneity.

    Item Type: Article
    Keywords: Globally asymptotically stable GAS; linear time-in- variant; LTI;
    Academic Unit: Faculty of Science and Engineering > Research Institutes > Hamilton Institute
    Item ID: 6057
    Identification Number: https://doi.org/10.1109/TAC.2010.2076334
    Depositing User: Oliver Mason
    Date Deposited: 22 Apr 2015 13:37
    Journal or Publication Title: IEEE Transactions on Automatic Control
    Publisher: IEEE
    Refereed: Yes
    URI:

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