DocumentCode
1227963
Title
On the global properties of interconnected systems
Author
Pliam, John O. ; Lee, E. Bruce
Author_Institution
Inst. for Math. & Applications, Minnesota Univ., Minneapolis, MN, USA
Volume
42
Issue
12
fYear
1995
fDate
12/1/1995 12:00:00 AM
Firstpage
1013
Lastpage
1017
Abstract
Interconnected 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
Keywords
interconnected systems; signal flow graphs; Jacobson radical; asymptotics; cycle products; global properties; interconnected systems; reducibility; rings; signal flow graphs; stability; well-posedness; Asymptotic stability; Circuit stability; Circuit theory; Control systems; Flow graphs; Integrated circuit interconnections; Interconnected systems; Jacobian matrices; Large-scale systems; Sufficient conditions;
fLanguage
English
Journal_Title
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher
ieee
ISSN
1057-7122
Type
jour
DOI
10.1109/81.481196
Filename
481196
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