ON THE GLOBAL PROPERTIES OF INTERCONNECTED SYSTEMS

Authors
PLIAM JO LEE EB
Citation
Jo. Pliam et Eb. Lee, ON THE GLOBAL PROPERTIES OF INTERCONNECTED SYSTEMS, IEEE transactions on circuits and systems. 1, Fundamental theory andapplications, 42(12), 1995, pp. 1013-1017
Citations number
19
Categorie Soggetti
Engineering, Eletrical & Electronic
Journal title
IEEE transactions on circuits and systems. 1, Fundamental theory andapplications → ACNP
ISSN journal
10577122
Volume
42
Issue
12
Year of publication
1995
Pages
1013 - 1017
Database
ISI
SICI code
1057-7122(1995)42:12<1013:OTGPOI>2.0.ZU;2-E
Abstract
Interconnected systems are discussed in terms of their global properti es. A theory of signal flow graphs over rings is developed. A new suff icient condition is derived for the complete reducibility of a signal flow graph, namely if the cycle products are contained in the Jacobson radical. We show how to construct the smallest ring over which a part ially known interconnected system must be reducible. Examples illustra te the application of these results to the study of stability, well-po sedness, and asymptotic behavior.