Asymptotic stability of a solution of an autonomous system in R2, consisting of subsystems

P.J. Heuvel, van den

    Research output: Book/ReportReportAcademic

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    Abstract

    In this paper a generalization is proved of a theorem by Laroque (1979). This theorem asserts that if an autonomous system x = F(x) consists of linear subsystems defined on cones in R2 and if the function F(x) is continuous, then the origin is an asymptotically stable solution of the system, if the subsystems are asymptotically stable in R2. It is shown that the linearity restrictions in the theorem of Laroque can be relaxed in a neighbourhood of the equilibrium.
    Original languageEnglish
    Place of PublicationEindhoven
    PublisherTechnische Hogeschool Eindhoven
    Number of pages14
    Publication statusPublished - 1980

    Publication series

    NameMemorandum COSOR
    Volume8009
    ISSN (Print)0926-4493

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