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On the Global Properties of Interconnected Systems

TitleOn the Global Properties of Interconnected Systems
Publication TypeJournal Article
Year of Publication1995
AuthorsPliam JO, Lee BE
VolumeCASI-42
Keywordsalgebraic systems theory, signal flow graphs, systems over rings
AbstractInterconnected systems are discussed in terms of their global properties. A theory of signal flow graphs over rings is developed. A new sufficient 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 partially known interconnected system must be reducible. Examples illustrate the application of these results to the study of stability, well-posedness, and asymptotic behavior.
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