Stabilisation of second-order LTI switched positive systems

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Detail(s)

Original languageEnglish
Pages (from-to)1387-1397
Journal / PublicationInternational Journal of Control
Volume84
Issue number8
Publication statusPublished - Aug 2011

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.

Research Area(s)

  • geometrical approach, stabilisation problem, switched positive systems

Citation Format(s)