The Complementary-Slackness Class of Hybrid Systems

Arjan J. van der Schaft, Schumacher, Hans · Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands · 1995

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 complementaryslackness class.We study existence and uniqueness of solutions in the special cases of linear and Hamiltonian complementary-slackness systems.For the latter class we also prove an energy inequality.

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