Analysis and Synthesis of a Class of Neural Networks: Linear Systems Operating on a Closed Hypercube

IEEE Transactions on Circuits and Systems

Volumn 36, Issue 11, 1989, Pages 1405-1422

  Li, Jian Hua ^a   Michel, Anthony N ^a   Porod, Wolfgang ^a  

^a UNIVERSITY OF NOTRE DAME   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC NETWORKS, LINEAR--SYNTHESIS; INTEGRATED CIRCUITS, VLSI; MATHEMATICAL TECHNIQUES--DIFFERENTIAL EQUATIONS;

ANALOG VLSI; CLOSED HYPERCUBE; HOPFIELD MODEL; NEURAL NETWORKS;

SYSTEMS SCIENCE AND CYBERNETICS;

EID: 0024765401     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/31.41297     Document Type: Article

References (8)

1. J. j. Hopfield, “Neurons with graded response have collective computational properties like those of two-state neurons,” in Proc. Nat. Acad. Sci. USA, vol. 81, pp. 3088–3092, May 1984.
2. J.J. Hopfield and D.W. Tank, “‘Neural’ computation of decisions in optimization problems,” Biol. Cybern., vol. 52, pp. 141–152, 1985.
3. D.W. Tank and J.J. Hopfield, “Simple ‘neural’ optimization networks: An A/D converter, signal decision circuit, and a linear programming circuit,” IEEE Trans. Circuits Syst. vol. CAS-33, pp. 533–541, May 1986.
4. J. 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.
5. J. Li, A.N. Michel, and W. Porod, “Qualitative 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.
6. R.K. Miller and A.N. Michel, Ordinary Differential Equations. New York: Academic, 1982.
7. K.J. Astrom and B. Wittenmark, Computer Controlled Systems. Englewood Cliffs, NJ: Prentice-Hall, 1984.
8. A.N. Michel and C.J. Herget, Mathematical Foundations in Engineering and Science. Englewood Cliffs, NJ: Prentice-Hall, 1981.