The complementary-slackness class of hybrid systems

A.J. van der Schaft, J.M. Schumacher

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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 languageEnglish
Pages (from-to)266-301
Number of pages36
JournalMathematics of control, signals and systems
Issue number3
Publication statusPublished - 1996


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


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