The Achievable Dynamics via Control by Interconnection

Harsh Vinjamoor*, Arjan J. van der Schaft

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

9 Citations (Scopus)
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We consider the problem of finding a controller such that, when interconnected to the plant, we obtain a system that is equivalent to a desired system. Here, "equivalence" is formalized as "bisimilarity." We give necessary and sufficient conditions for the existence of such a controller. The systems we consider are linear input-state-output systems. A comparison is made to previously obtained results about achievable/implementable behaviors in the behavioral approach to systems theory. Among the advantages of using the notion of bisimilarity is the fact that it directly applies to state-space systems, while the computations involved are operations on constant matrices.

Original languageEnglish
Pages (from-to)1110-1117
Number of pages8
JournalIEEE Transactions on Automatic Control
Issue number5
Publication statusPublished - May-2011


  • Achievability
  • bisimulations
  • canonical controller
  • interconnection
  • linear systems

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