Well-posedness of the complementarity class of hybrid systems

W.P.M.H. Heemels, M.K. Camlıbel, A.J. van der Schaft, J.M. Schumacher

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    One of the most fundamental properties of any class of dynamical systems is the study of well-posedness, i.e. the existence and uniqueness of a particular type of solution trajectories given an initial state. In case of interaction between continuous dynamics and discrete transitions this issue becomes highly non-trivial. In this survey an overview is given of the well-posedness results for complementarity systems, which form a class of hybrid systems described by the interconnection of di?erential equations and a speci?c combination of inequalities and Boolean expressions as appearing in the linear complementarity problem of mathematical programming.
    Original languageEnglish
    Title of host publicationProceedings of the 15th World Congress of the International Federation of Automatic Control
    Subtitle of host publicationBarcelona, Spain, 21-26th July 2002
    EditorsEduardo F. Camacho, Luis Basanez, Juan A. de la Puente
    Place of PublicationAmsterdam
    Number of pages6
    ISBN (Print)978-0-08-044295-2
    Publication statusPublished - 2002
    Event15th IFAC World Congress 2002 - Barcelona, Spain
    Duration: 21 Jul 200226 Jul 2002
    Conference number: 15

    Publication series

    NameIFAC Proceedings Volumes


    Conference15th IFAC World Congress 2002
    Internet address


    • EWI-16730
    • METIS-211006
    • IR-69132

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    Heemels, W. P. M. H., Camlıbel, M. K., van der Schaft, A. J., & Schumacher, J. M. (2002). Well-posedness of the complementarity class of hybrid systems. In E. F. Camacho, L. Basanez, & J. A. de la Puente (Eds.), Proceedings of the 15th World Congress of the International Federation of Automatic Control: Barcelona, Spain, 21-26th July 2002 (pp. 1218-1223). (IFAC Proceedings Volumes; Vol. 35, No. 1). Amsterdam: Elsevier. https://doi.org/10.3182/20020721-6-ES-1901.00558