Analysis and Synthesis of Neural Networks with Lower Block Triangular Interconnecting Structure

IEEE Transactions on Circuits and Systems

Volumn 37, Issue 10, 1990, Pages 1267-1283

  Michel, Anthony N ^a   Gray, Donald L ^a  

^a UNIVERSITY OF NOTRE DAME   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DATA CONVERSION, ANALOG TO DIGITAL; SYSTEM STABILITY - LYAPUNOV METHODS;

HOPFIELD-TYPE NEURAL NETWORKS; RESISTOR SORTER; RESISTOR TOLERANCER; TRIANGULAR INTERCONNECTING STRUCTURE;

NEURAL NETWORKS;

EID: 0025503345     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/31.103221     Document Type: Article

References (20)

1. Neural Information Processing Systems, Am. Inst. Phys. Conf. Proc., D. Z. Anderson, Ed., Denver, CO, Nov. 1987.
2. J. R. Anderson, Neurocomputing. Cambridge, MA: MIT Press, 1988.
3. Neural Networks for Computing, Am. Inst. Phys. Conf. Proc, J. S. Denker, Ed., vol. 151, Snowbird, UT, Apr. 1986.
4. N. Deo, Graph Theory with Applications to Engineering and Computer Science. Englewood Cliffs, NJ: Prentice Hall, 1974.
5. D. L. Gray, A. N. Michel, and W. Porod, “Application of neural networks to sorting problems,” in Proc. 22nd Annual Conf. Information Sciences and Systems, Princeton Univ., Princeton, NJ, pp. 276–281, Mar. 1988.
6. — “Neural networks with lower block triangular interconnecting structure,” in Proc. ComCon-88: Advances in Communications and Control Systems, Baton Rouge, LA, Oct. 1988.
7. S. Grossberg, Studies of Mind and Brain. New York: Reidel, 1982.
8. J. J. Hopfield, “Neural networks and physical systems with emergent collective computational abilities,” in Proc. Nat’l. Acad. Sci., vol. 79, pp. 2554–2558, 1982.
9. J. J. Hopfield, “Neurons with graded response have collective computational properties like those of two-state neurons,” in Proc. Nat’l. Acad. Sci., vol. 81, pp. 3088–3092, 1984.
10. A. K. Kevorkian, “A decomposition algorithm for the solution of large systems of linear algebraic equations,” in Proc. 1975 IEEE Int. Symp. on Circuits and Systems, Boston, MA, Aug. 1975.
11. T. Kohonen, Self-Organization and Associative Memory, Second Ed. Berlin, Germany: Springer-Verlag, 1988.
12. J. H. Li, A. N. Michel, and W. Porod, “Qualitative analysis and synthesis of a class of neural networks,” IEEE Trans. Circuits Syst., vol. 35, pp. 976–986, Aug. 1988.
13. —, “Analysis and synthesis of a class of neural networks: Variable structure systems with infinite gains,” IEEE Trans. Circuits Syst., vol. 36, pp. 713–731, May 1989.
14. —, “Analysis and synthesis of a class of neural networks: Linear systems operating on a closed hypercube,” IEEE Trans. Circuits Syst., vol. 36, pp. 1405–1472, Nov. 1989.
15. A. N. Michel, J. A. Farrell, and W. Porod, “Qualitative theory of neural networks,” IEEE Trans. Circuits Syst., vol. 36, pp. 229–243, Feb. 1989.
16. A. N. Michel and R. K. Miller, Qualitative Analysis of Large Scale Dynamical Systems. New York: Academic, 1977.
17. A. N. Michel, R. K. Miller, and W. Tang, “Lyapunov stability of interconnected systems: Decomposition into strongly connected subsystems,” IEEE Trans. Circuits Syst., vol. 25, pp. 799–809, Sept. 1978.
18. R. K. Miller and A. N. Michel, Ordinary Differential Equations. New York: Academic, 1982.
19. D. E. Rumelhart and J. L. McClelland, Parallel Distributed Processing. Cambridge, MA: MIT Press, 1987.
20. D. W. Tank and J. J. Hopfield, “Simple ‘neural’ optimization networks: An A/D converter, signal decision circuits and a linear programming circuit,” IEEE Trans. Circuits Syst., vol. 33, pp. 533–541, 1986.