Reachability, observability and strict equivalence of networks of linear systems

Paul A. Fuhrmann, Uwe Helmke

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


This paper aims at a better understanding of reachability and observability properties of heterogeneous networks of linear systems. It extends prior work by Hara et al. (SICE J Control Meas Syst Integr 2:299-306, 2009), who characterized reachability for homogeneous networks of identical linear SISO systems. Our approach is based on extending the classical notion of strict system equivalence to networks of linear systems. We survey and extend known characterizations for reachability and observability for arbitrary interconnected linear MIMO systems. Both static and dynamic interconnection laws are considered, and various applications to classes of homogeneous and heterogeneous networks are derived.

Original languageEnglish
Pages (from-to)437-471
Number of pages35
JournalMathematics of Control, Signals, and Systems
Issue number4
StatePublished - 1 Dec 2013


  • Interconnections
  • Linear systems
  • Networks
  • Observability
  • Reachability
  • System equivalence

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Signal Processing
  • Control and Optimization
  • Applied Mathematics


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