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Duality of switched DAEs

Original Article
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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.

Keywords

Duality Switched systems Differential-algebraic equations 

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Copyright information

© Springer-Verlag London 2016

Authors and Affiliations

  1. 1.Fraunhofer Institute for Industrial MathematicsKaiserslauternGermany
  2. 2.Technomathematics GroupUniversity of KaiserslauternKaiserslauternGermany

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