Global exponential stability and periodic solutions of delay Hopfield neural networks

International Journal of Systems Science

Volumn 27, Issue 2, 1996, Pages 227-231

  Yi, Zhang ^a  

^a UNIVERSITY OF ELECTRONIC SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS; DIFFERENTIATION (CALCULUS); LYAPUNOV METHODS; MATRIX ALGEBRA; SYSTEM STABILITY;

GLOBAL EXPONENTIAL STABILITY; HOPFIELD NEURAL NETWORKS; LYAPUNOV FUNCTIONAL;

NEURAL NETWORKS;

EID: 0030087313     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207729608929208     Document Type: Article

References (12)

1. Baldi, P., and Ativa, A. F. 1994, How delays affect neural dynamics and learning. IEEE Transactions on Neural Networks, 5, 612-621.
2. Forti, M., 1994, On global asymptotic stability of a class of nonlinear systems arising in neural network theory. Journal of Differential Equations, 113, 246-264.
3. Forti, M., Manetti, S., and Marini, M., 1992, A condition for global convergence of a class of symmetric neural circuits. IEEE Transactions on Circuits and Systems, 39, 480-483.
4. Hopfield, J. J., and Tank, D. W. 1986, Computing with neural circuits: a model. Science, 233, 625-633.
5. Kelly, D. G., 1990, Stability in contractive nonlinear neural networks. IEEE Transactions on Biomedical Engineering, 37, 231-242.
6. Marcus, C. M., and Westervelt, R, M., 1989, Stability of analog neural networks with delay. Physical Review A, 39, 347-359.
7. Li, J. H., Michel, A. N., and Porod, W., 1988, Qualitative analysis and synthesis of a class of neural networks. IEEE Transactions on Circuits and Systems, 35, 976-985.
8. Michel, A. N., FaRREL, J. A., and Porod, W., 1989, Qualitative analysis of neural networks. IEEE Transactions Circuits Systems, 36, 229-244.
9. Roska, T., Wu, C. W., Balsi, M., and Chua, L. O., 1992, Stability and dynamics of delay-type general and cellular neural networks. IEEE Transactions on Circuits and Systems, 39, 487-490.
10. Tank, D. W., and Hopfield, J. J., 1986, Simple neural optimization networks: an A/D converter, signal decision circuit and a linear programming circuit. IEEE Transactions on Circuits Systems, 33, 522-541.
11. Troudet, T. P., and Walters, S. M., 1991, Neural network archilecture for crossbar switch control, IEEE Transactions on Circuits and Systems, 38, 42-65
12. Yang, H., and Dillon, T. S., 1994, Exponential stability and oscillation of Hopfield graded response neural network. IEEE Transactions on Neural Networks, 5, 719-729