Compositions of passive boundary control systems

Atte Aalto, Jarmo Malinen

Research output: Contribution to journalArticleResearchpeer-review

3 Citations (Scopus)

Abstract

We show under mild assumptions that a composition of internally well-posed, impedance passive (or conservative) boundary control systems through Kirchhoff type connections is also an internally well-posed, impedance passive (resp., conservative) boundary control system. The proof is based on results of Malinen and Staffans [21]. We also present an example of such composition involving Webster's equation on a Y-shaped graph.

Original languageEnglish
Pages (from-to)1-19
Number of pages19
JournalMathematical Control and Related Fields
Volume3
Issue number1
DOIs
Publication statusPublished - 2013
Externally publishedYes

Keywords

  • Boundary control
  • Cauchy problem
  • Composition
  • Distributed parameter system
  • Passive system
  • Well-posedness

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