On multi-dissipative dynamic systems

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    Abstract

    We consider deterministic dynamic systems with state space representations which are dissipative in the sense of Willems (1972) with respect to several supply rates. This property is of interest in robustness analysis and in multi-objective control. We give conditions under which the convex cone of dissipated supply rates is closed. Furthermore we show convexity and continuity properties of the available storage and required supply as functions of the supply rate.
    Original languageEnglish
    Title of host publicationProceeding of the American Control Conference
    Publication date1999
    Pages790-794
    ISBN (Print)0-7803-4990-3
    DOIs
    Publication statusPublished - 1999
    EventAmerican Control Conference 1999 - San Diego, CA, United States
    Duration: 2 Jun 19994 Jun 1999

    Conference

    ConferenceAmerican Control Conference 1999
    CountryUnited States
    CitySan Diego, CA
    Period02/06/199904/06/1999

    Bibliographical note

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