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Stabilisation of second-order LTI switched positive systems

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    Abstract

    The stabilisation problem of second-order switched positive systems consisting of two unstable subsystems is considered in this article. By considering the vector fields and geometric characteristics, a necessary and sufficient condition for the stabilisability of second-order switched positive systems with two unstable subsystems is provided. Furthermore, it is shown via this condition that neither second-order switched positive systems consisting of two subsystems with unstable nodes nor second-order switched positive systems consisting of one subsystem with unstable nodes and the other with a saddle point can be stabilised via any switching law. © 2011 Taylor & Francis.
    Original languageEnglish
    Pages (from-to)1387-1397
    JournalInternational Journal of Control
    Volume84
    Issue number8
    DOIs
    Publication statusPublished - Aug 2011

    Research Keywords

    • geometrical approach
    • stabilisation problem
    • switched positive systems

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