Remarks on the relationship between ℒp stability and internal stability of nonlinear systems

Xu Wang, H°avard Fjær Grip, Ali A. Saberi, Antonie Arij Stoorvogel, Ingmar Saberi

    Research output: Contribution to journalArticleAcademicpeer-review

    Abstract

    In this paper, we investigate the relationship between ℒp stability and internal stability of nonlinear systems. It is shown that under certain conditions, ℒp stability implies attractivity of the equilibrium and that local ℒp stability with finite gain implies local asymptotic stability of the origin.
    Original languageEnglish
    Pages (from-to)1822-1827
    Number of pages6
    JournalInternational journal of robust and nonlinear control
    Volume23
    Issue number16
    DOIs
    Publication statusPublished - 2013

    Keywords

    • Nonlinear system
    • Internal stability
    • Stability

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