Title :
Ring graphs and gain formulas, an algebraic approach to topology
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;
Conference_Titel :
Circuits and Systems, 1989., IEEE International Symposium on
Conference_Location :
Portland, OR
DOI :
10.1109/ISCAS.1989.100357
