A note on stability of analog neural networks with time delays

IEEE Transactions on Neural Networks

Volumn 7, Issue 6, 1996, Pages 1533-1535

  Cao, Y J ^a   Wu, Q H ^a  

^a UNIVERSITY OF LIVERPOOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000816471     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/72.548184     Document Type: Article

References (13)

1. C. M. Marcus and R. M. Westervelt, "Stability of analog neural networks with delay," Phys. Rev. A, vol. 39, no. 2, pp. 347-359, 1989.
2. J. S. Denker, "Neural network for computing," in Proc. Conf. Neural Networks for Comput., Snowbird, VT, 1986.
3. C. M. Marcus, F. R. Waugh, and R. M. Westervelt, "Nonlinear dynamics and stability of analog neural networks," Physica D, vol. 51, pp. 234-247, 1991.
4. P. Baldi and A. F. Atiya, "How delays affect neural dynamics and learning," IEEE Trans. Neural Networks, vol. 5, pp. 612-621, July 1994.
5. L. Wang, E. E. Pichler, and J. Ross, "Oscillations and chaos in neural networks: An exactly solvable model," in Proc. Nat. Academy Sci. USA, vol. 87, Dec. 1990, pp. 9467-9471.
6. J. J. Hopfield, "Neural networks and physics systems with emergent collective computation abilities," in Proc. Nat. Academy Sci. USA, vol. 79, no. 2, 1982, pp. 2554-2558.
7. J. J. Hopfield and D. W. Tank, "Neural computation of decisions optimization problems," Biol. Cybern., vol. 52, pp. 141-152, 1985.
8. J. J. Hopfield, "Neurons with graded response have collective computational properties like those of two-state neurons," in Proc. Nat. Academy Sci. USA, vol. 81, no. 10, 1984, pp. 3088-3092.
9. U. Van der Heide, Analysis of Neural Networks. New York: Springer-Verlag, 1980.
10. J. K. Hale, "Nonlinear oscillations in equations with delays," in Nonlinear Oscillations in Biology, Lecture Notes in Applied Mathematics, vol. 17, F. C. Hoppensteadt, Ed. Providence, RI: Amer. Math. Soc., 1979.
11. S. S. Wang, B. S. Chen, and T. P. Lin, "Robust stability of uncertain time-delay systems," Int. J. Contr., vol. 46, no. 3, pp. 963-976, 1987.
12. E. Niebur, H. G. Schuster, and D. M. Kammen, "Collective frequencies and metastability in networks of limit-cycle oscillators with time delay," Phys. Rev. Lett., vol. 67, no. 20, pp. 2753-2756, 1991.
13. J. K. Hale, Introduction to Functional Differential Equations. New York: Springer-Verlag, 1993.