On Rantzer’s density function

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    Abstract

    In 2001 and following years Rantzer introduced a new stability characterization [1, 2, 3]. It is dual to Lyapunov stability. It is very elegant with many interesting particle-flow interpretations and it has the striking feature that it can be used for systems with multiple equilibrium points (or sets). In this talk we will interpret Rantzer’s main theorem and re-address the inverse problem (already solved [2, 3]). The inverse problem — well studied for Lyapunov functions — is about the fundamental property that a system is stable (in some sense) only if a Lyapunov function exists, or in the present context, only if a Rantzer density function exists.
    Original languageEnglish
    Title of host publication25th Benelux Meeting on Systems and Control, March 13 – 15, 2006, Heeze, The Netherlands
    Subtitle of host publicationBook of Abstracts
    EditorsBram de Jager, Gjerrit Meinsma
    PublisherTechnische Universiteit Eindhoven
    Pages50-50
    ISBN (Print)978-90-386-2558-4
    Publication statusPublished - 13 Mar 2006
    Event25th Benelux Meeting on Systems and Control 2006 - Heeze, Belgium
    Duration: 13 Mar 200615 Mar 2006
    Conference number: 25

    Conference

    Conference25th Benelux Meeting on Systems and Control 2006
    CountryBelgium
    CityHeeze
    Period13/03/0615/03/06

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  • Cite this

    Meinsma, G. (2006). On Rantzer’s density function. In B. de Jager, & G. Meinsma (Eds.), 25th Benelux Meeting on Systems and Control, March 13 – 15, 2006, Heeze, The Netherlands: Book of Abstracts (pp. 50-50). Technische Universiteit Eindhoven.