论文信息 - On the global properties of interconnected systems

On the global properties of interconnected systems

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.

John O. Pliam | E. B. Lee

[1] Samuel J. Mason,et al. Feedback Theory-Some Properties of Signal Flow Graphs , 1953, Proceedings of the IRE.

[2] P. Lin,et al. Matrix signal flow graphs and an optimum topological method for evaluating their gains , 1972 .

[3] A.V. Oppenheim,et al. Analysis of linear digital networks , 1975, Proceedings of the IEEE.

[4] Kurt Johannes Reinschke,et al. Multivariable Control a Graph-theoretic Approach , 1988 .

[5] Michael K. Sain,et al. An algebraic method for simulating legal systems , 1973 .

[6] F. Callier,et al. Input-output stability of interconnected systems using decompositions: An improved formulation , 1977, 1977 IEEE Conference on Decision and Control including the 16th Symposium on Adaptive Processes and A Special Symposium on Fuzzy Set Theory and Applications.

[7] M. Sain. The quotient signal flowgraph for large-scale systems , 1978 .

[8] Jeffrey D. Ullman,et al. Introduction to Automata Theory, Languages and Computation , 1979 .

[9] Mathukumalli Vidyasagar,et al. Input-Output Analysis of Large-Scale Interconnected Systems , 1981 .

[11] Michael K. Sain,et al. The Equivalence Concept in Criminal Justice Systems , 1975, IEEE Transactions on Systems, Man, and Cybernetics.

[12] S. J. Mason. Feedback Theory-Further Properties of Signal Flow Graphs , 1956, Proceedings of the IRE.

[13] T. B. Boffey,et al. Applied Graph Theory , 1973 .