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

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

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-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 without finite gain implies attractivity of the equilibrium, and that local ℒp stability with finite gain implies local asymptotic stability of the origin.
    Original languageEnglish
    Title of host publicationProceedings of the American Control Conference, ACC 2011
    Place of PublicationPiscataway, NJ, USA
    PublisherIEEE CONTROL SYSTEMS SOCIETY
    Pages1969-1970
    Number of pages6
    ISBN (Print)978-1-4577-0080-4
    DOIs
    Publication statusPublished - Jun 2011
    Event2011 American Control Conference, ACC 2011 - San Francisco, United States
    Duration: 29 Jun 20111 Jul 2011

    Publication series

    NameProceedings of the American Control Conference
    PublisherIEEE Control Systems Society
    Volume2011
    ISSN (Print)0743-1619

    Conference

    Conference2011 American Control Conference, ACC 2011
    Abbreviated titleACC
    CountryUnited States
    CitySan Francisco
    Period29/06/111/07/11

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