Duality of switched DAEs

Ferdinand Küsters, Stephan Trenn*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)

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.

Original languageEnglish
Article number25
JournalMathematics of Control, Signals, and Systems
Volume28
Issue number3
DOIs
Publication statusPublished - 1-Sep-2016
Externally publishedYes

Keywords

  • Differential-algebraic equations
  • Duality
  • Switched systems
  • DIFFERENTIAL-ALGEBRAIC EQUATIONS
  • CONTROLLABILITY
  • SYSTEMS
  • OBSERVABILITY

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