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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.

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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