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Complementarity modeling of hybrid systems. (English) Zbl 0899.93002
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.

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
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