Complementarity modeling of hybrid systems. (English) Zbl 0899.93002

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

IEEE Trans. Autom. Control 43, No. 4, 483-490 (1998).

The authors describe a complementarity framework for hybrid systems, e.g. for switching control systems. They introduce complementarity systems and investigate well-posedness of complementarity systems. The main results are concerned with uniqueness of smooth continuations. The important working method is the linear complementarity problem from mathematical programming.

Reviewer: B.F.Šmarda (Brno)

MSC:

93A30	Mathematical modelling of systems (MSC2010)
93C30	Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93A13	Hierarchical systems

Keywords:

hybrid systems; switching control systems; complementarity systems; well-posedness; smooth continuations