The complementary-slackness class of hybrid systems
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.
|Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions (msc 34A12), Implicit equations, differential-algebraic equations (msc 34A09), Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems (msc 37Jxx), Infinite-dimensional Hamiltonian systems (msc 37Kxx), Symplectic geometry, contact geometry (msc 53Dxx), Hamiltonian and Lagrangian mechanics (msc 70Hxx), Simulation (msc 68U20), Variable structure systems (msc 93B12)|
|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.