In this paper we understand by a `hybrid system' 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 of linear and Hamiltonian complementary-slackness systems. For the latter class we also prove an energy inequality.

, , , , , , ,
CWI
Department of Operations Research, Statistics, and System Theory [BS]

van der Schaft, A.J, & Schumacher, J.M. (1995). The complementary-slackness class of hybrid systems. Department of Operations Research, Statistics, and System Theory [BS]. CWI.