The complementary-slackness class of hybrid systems

Arjan van der Schaft, J.M. Schumacher

    Research output: Contribution to journalArticleAcademic

    93 Citations (Scopus)
    74 Downloads (Pure)


    In this paper we understand a “hybrid system” to be one that combines features of continuous dynamical systems with characteristics of finite automata. We study a special class of such systems which we call the complementary-slackness class. We study existence and uniqueness of solutions in the special'cases oflinear andHamiltonian complementary-slackness systems. For the latter class we also prove an energy inequality.
    Original languageUndefined
    Pages (from-to)266-301
    JournalMathematics of control, signals and systems
    Issue number3
    Publication statusPublished - 1996


    • Hybrid systems
    • Complementary slackness
    • IR-85669
    • Well-posedness
    • Inequality constraints

    Cite this