DocumentCode
1621340
Title
Ring graphs and gain formulas, an algebraic approach to topology
Author
Pliam, John O.
fYear
1989
Firstpage
327
Abstract
An investigation is made of the domain of application of existing grain formulas for signal flow graphs defined over rings. The author obtains criteria for gain formula admissibility, which is both algebraic and topological in nature. These results point out new connections between system theory and abstract algebra. In particular, the Jacobson radical is associated with causality in some situations
Keywords
directed graphs; network topology; Jacobson radical; abstract algebra; causality; gain formula admissibility; gain formulas; ring graphs; signal flow graphs; system theory; topology; Abstract algebra; Equations; Fasteners; Flow graphs; Jacobian matrices; Topology; Transfer functions;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 1989., IEEE International Symposium on
Conference_Location
Portland, OR
Type
conf
DOI
10.1109/ISCAS.1989.100357
Filename
100357
Link To Document