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- Title
Reachability, observability and strict equivalence of networks of linear systems.
- Authors
Fuhrmann, Paul A.; Helmke, Uwe
- Abstract
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.
- Subjects
OBSERVABILITY (Control theory); HOMOTOPY equivalences; LINEAR systems; SISO classification; MIMO systems; INTEGRATED circuit interconnections
- Publication
Mathematics of Control, Signals & Systems, 2013, Vol 25, Issue 4, p437
- ISSN
0932-4194
- Publication type
Article
- DOI
10.1007/s00498-012-0104-0