van der Schaft, A. J.; Schumacher, J. M. Complementarity modeling of hybrid systems. (English) Zbl 0899.93002 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) Cited in 42 Documents 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 PDF BibTeX Cite \textit{A. J. van der Schaft} and \textit{J. M. Schumacher}, IEEE Trans. Autom. Control 43, No. 4, 483--490 (1998; Zbl 0899.93002) Full Text: DOI