Diakoptic and Generalized Hybrid Analysis

IEEE Transactions on Circuits and Systems

Volumn 23, Issue 12, 1976, Pages 694-705

  Chua, Leon O ^a   Chen, Li Kuan ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC NETWORKS, NONLINEAR - COMPUTER AIDED ANALYSIS; SYSTEMS SCIENCE AND CYBERNETICS - LARGE SCALE SYSTEMS;

DIAKOPTICS; LARGE SCALE NETWORKS;

ELECTRIC NETWORKS, LINEAR;

EID: 0017220189     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCS.1976.1084165     Document Type: Article

References (21)

1. G. Kron, “A set of principles to interconnect the solution ofphysical systems,” Journal of Applied Physics, vol. 24, no. 8, pp.965-980, Aug. 1953.
2. G. Kron, Diakoptics-Piecewise Solution of Large-Scale Systems. London, England: MacDonald, 1963.
3. F. H. Branin, “The relation between Kron's method and theclassical methods of network analysis,” in The Matrix and TensorQuarterly, vol. 12, no. 3, Mar. 1962, pp. 69-115.
4. H. H. Happ, Diakoptics and Networks. New York: AcademicPress, 1971.
5. “Diakoptics-The solution of system problems by tearing,” Proc of IEEE, vol. 62, pp. 930-940, July 1974.
6. J. Roth, “An application of algebraic topology: Kron's method of tearing,” Quarterly of Applied Math., vol. 17, no. 1, p. 1-24, Apr. 1959.
7. S. Amari, “Topological foundations of Kron's tearing of electricnetworks,” RAAG Memoirs, vol. 3, pp. 322-350, 1962.
8. K. U. Wang and T. Chao, “An Algebraic Theory of Network Topology,” in Proc. of the IEEE International Symp. on Circuits and Systems, Apr. 1974, pp. 324-328.
9. L. O. Chua and L. K. Chen, “Nonlinear Diakoptics,” in Proc. of the IEEE Int. Symp. on Circuits and Systems, Apr. 1975, pp. 373-376.
10. “Nonlinear Diakoptics,” Electronics Research Laboratory, University of California, Berkeley, Memo ERL-M495, Mar. 1975.
11. F. Wu, “Solution of Large-Scale Networks by Tearing,” Electronics Research Laboratory, University of California, Berkeley, Memo ERL-M532, July 1975.
12. C. A. Desoer and E. S. Kuh, Basic Circuit Theory. New York, McGraw-Hill, 1969.
13. L. O. Chua and P. M. Lin, Computer-Aided Analysis of Electronic Circuits: Algorithms and Computational Techniques. Englewood Cliffs, NJ: Prentice-Hall, 1975.
14. L. O. Chua, Introduction to Nonlinear Network Theory. New York: McGraw-Hill, 1969.
15. R. Onodera, “Diakoptics and codiakoptics of electric network,” RAAG Memoirs, vol. 2, pp. 369-388, 1958.
16. L. O. Chua and L. K. Chen, “On optimally sparse cycle and coboundary basis for a linear graph,” IEEE Trans, on Circuit Theory, vol. CT-20, pp. 495-503, Sept. 1973.
17. T. Ohtsuki and H. Watanabe, “State variable analysis of RLC networks containing nonlinear coupling elements,” IEEE Trans, on Circuit Theory, vol. CT-16, pp. 26-38, Feb. 1969.
18. A. Sangiovanni-Vincentelli, L. K. Chen, and L. O. Chua, “Node-tearing nodal analysis,” Electronics Research Laboratory, University of California, Berkeley, Memo ERL-M582, Sept. 1976.
19. S. Amari, “Information-theoretical foundations of diakoptics and codiakoptics,” RAAG Memoirs, vol. 3, pp. 351-371, 1962.
20. T. Ohtsuki, Y. Ishizaki, and H. Watanabe, “Topological degrees of freedom and mixed analysis of electrical networks,” IEEE Trans. on Circuit Theory, vol. CT-17, pp. 491-499 Nov. 1970.
21. E. C. Ogbuobiri, W. F. Tinney, and J. E. Walker, “Sparsity-di-rected decomposition for Gaussian elimination on matrices,” IEEE Trans, on Power, Apparatus and Systems, vol. PAS-89, pp. 141-150, Jan. 1970.