Title :
Hybrid systems modeling and complementarity problems
Author :
van der Schaft, A.J. ; Schumacher, J.M.
Author_Institution :
Dept. of Appl. Math., Univ. of Twente, Enschede, Netherlands
Abstract :
A complementarity framework is described for the modeling of certain classes of mixed continuous/discrete dynamical systems. We study the uniqueness of smooth continuations in this context; the solution of this problem, requires the construction of a map from the continuous state to the discrete state. A crucial technical tool is the so-called linear complementarity problem (LCP); we introduce various generalizations of this problem.
Keywords :
continuous systems; discrete systems; LCP; continuous state; discrete state; hybrid systems modeling; linear complementarity problem; mixed continuous/discrete dynamical systems; Context; Indexes; Linear systems; Markov processes; Mathematical model; Mechanical systems; Terminology; complementary slackness; hybrid systems; linear complementarity problem; nonsmooth systems;
Conference_Titel :
Control Conference (ECC), 1997 European
Conference_Location :
Brussels
Print_ISBN :
978-3-9524269-0-6
