Duality of switched DAEs |
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| Authors: | Ferdinand Küsters Stephan Trenn |
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| Affiliation: | 1.Fraunhofer Institute for Industrial Mathematics,Kaiserslautern,Germany;2.Technomathematics Group,University of Kaiserslautern,Kaiserslautern,Germany |
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| Abstract: | We present and discuss the definition of the adjoint and dual of a switched differential-algebraic equation (DAE). For a proper duality definition, it is necessary to extend the class of switched DAEs to allow for additional impact terms. For this switched DAE with impacts, we derive controllability/reachability/determinability/observability characterizations for a given switching signal. Based on this characterizations, we prove duality between controllability/reachability and determinability/observability for switched DAEs. |
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