The complementary-slackness class of hybrid systems

Arjan van der Schaft, J.M. Schumacher

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    Abstract

    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
    Volume9
    Issue number3
    DOIs
    Publication statusPublished - 1996

    Keywords

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

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