Metrics and topology for nonlinear and hybrid systems

M. Petreczky, R. Vidal

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

    8 Citations (Scopus)


    This paper presents an approach to defining distances between nonlinear and hybrid dynamical systems based on formal power series theory. The main idea is that the input-output behavior of a wide range of dynamical systems can be encoded by rational formal power series. Hence, a natural distance between dynamical systems is the distance between the formal power series encoding their input-output behavior. The paper proposes several computable distances for rational formal power series and discusses the application of such distances to various classes of nonlinear and hybrid systems. In particular, the paper presents a detailed discussion of distances for stochastic jump-linear systems.
    Original languageEnglish
    Title of host publicationProceedings of the 10th International Workshop on Hybrid Systems : Computation and Control (HSCC 2007) 3-5 April 2007, Pisa, Italy
    EditorsA. Bemporad, A. Bicchi, G.C. Buttazzo, G. Buttazzo
    Place of PublicationBerlin
    ISBN (Print)978-3-540-71492-7
    Publication statusPublished - 2007
    Event10th International Conference on Hybrid Systems: Computation and Control (HSCC 2007) - Pisa, Italy
    Duration: 3 Apr 20075 Apr 2007
    Conference number: 10

    Publication series

    NameLecture Notes in Computer Science
    ISSN (Print)0302-9743


    Conference10th International Conference on Hybrid Systems: Computation and Control (HSCC 2007)
    Abbreviated titleHSCC 2007
    Internet address


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