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

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

    1 Citation (Scopus)

    Abstract

    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
    PublisherElsevier
    Pages1218-1223
    Number of pages6
    ISBN (Print)978-0-08-044295-2
    DOIs
    Publication statusPublished - 2002
    Event15th IFAC World Congress 2002 - Barcelona, Spain
    Duration: 21 Jul 200226 Jul 2002
    Conference number: 15
    http://folk.ntnu.no/skoge/prost/proceedings/ifac2002/home.htm

    Publication series

    NameIFAC Proceedings Volumes
    PublisherElsevier
    Number1
    Volume35

    Conference

    Conference15th IFAC World Congress 2002
    CountrySpain
    CityBarcelona
    Period21/07/0226/07/02
    Internet address

    Fingerprint

    Complementarity
    Hybrid Systems
    Well-posedness
    Linear Complementarity Problem
    Mathematical Programming
    Interconnection
    Existence and Uniqueness
    Dynamical system
    Trajectory
    Interaction
    Class

    Keywords

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

    Cite this

    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
    Heemels, W.P.M.H. ; Camlıbel, M.K. ; van der Schaft, A.J. ; Schumacher, J.M. / Well-posedness of the complementarity class of hybrid systems. Proceedings of the 15th World Congress of the International Federation of Automatic Control: Barcelona, Spain, 21-26th July 2002. editor / Eduardo F. Camacho ; Luis Basanez ; Juan A. de la Puente. Amsterdam : Elsevier, 2002. pp. 1218-1223 (IFAC Proceedings Volumes; 1).
    @inproceedings{74acbfa9d4644453b2ac3b279c490283,
    title = "Well-posedness of the complementarity class of hybrid systems",
    abstract = "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.",
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    Heemels, WPMH, Camlıbel, MK, van der Schaft, AJ & Schumacher, JM 2002, Well-posedness of the complementarity class of hybrid systems. in EF Camacho, L Basanez & JA de la Puente (eds), Proceedings of the 15th World Congress of the International Federation of Automatic Control: Barcelona, Spain, 21-26th July 2002. IFAC Proceedings Volumes, no. 1, vol. 35, Elsevier, Amsterdam, pp. 1218-1223, 15th IFAC World Congress 2002, Barcelona, Spain, 21/07/02. https://doi.org/10.3182/20020721-6-ES-1901.00558

    Well-posedness of the complementarity class of hybrid systems. / Heemels, W.P.M.H.; Camlıbel, M.K.; van der Schaft, A.J.; Schumacher, J.M.

    Proceedings of the 15th World Congress of the International Federation of Automatic Control: Barcelona, Spain, 21-26th July 2002. ed. / Eduardo F. Camacho; Luis Basanez; Juan A. de la Puente. Amsterdam : Elsevier, 2002. p. 1218-1223 (IFAC Proceedings Volumes; Vol. 35, No. 1).

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

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    Heemels WPMH, Camlıbel MK, van der Schaft AJ, Schumacher JM. Well-posedness of the complementarity class of hybrid systems. In Camacho EF, Basanez L, de la Puente JA, editors, Proceedings of the 15th World Congress of the International Federation of Automatic Control: Barcelona, Spain, 21-26th July 2002. Amsterdam: Elsevier. 2002. p. 1218-1223. (IFAC Proceedings Volumes; 1). https://doi.org/10.3182/20020721-6-ES-1901.00558