Estimate of exponential convergence rate and exponential stability for neural networks

IEEE Transactions on Neural Networks

Volumn 10, Issue 6, 1999, Pages 1487-1493

  Yi, Zhang ^a   Heng, P A ^a   Fu, Ada W C ^a  

^a CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ESTIMATION;

GLOBAL EXPONENTIAL CONVERGENCE; HOPFIELD NEURAL NETWORK;

CELLULAR NEURAL NETWORKS;

EID: 0033332523     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/72.809094     Document Type: Article

References (12)

1. A. Bouzerdoum and T. R. Pattison, "Neural network for quadratic optimization with bound constraints," IEEE Trans. Neural Networks, vol. 4, pp. 293-303, 1993.
2. L. O. Chua and L. Yang, "Cellular neural networks: Theory," IEEE Trans. Circuits Syst., vol. 35, pp. 1257-1272, 1988.
3. M. Forti, "On global asymptotic stability of a class of nonlinear systems arising in neural networks theory," J. Differential Equations, vol. 113, no. 1, pp. 246-164, 1994.
4. M. Forti, S. Manetti, and M. Marini, "Necessary and sufficient conditions for absolute stability of neural networks," IEEE Trans. Circuits Syst. I, vol. 41, pp. 491-494, 1994.
5. M. Forti and A. Tesi, "New conditions for global stability of neural networks with application to linear and quadratic programming problems," IEEE Trans. Circuits Syst. I, vol. 42, pp. 354-366, 1995.
6. X. B. Liang and L. D. Wu, Comments on "New conditions for global stability of neural networks with application to linear and quadratic programming problems," IEEE Trans. Circuits Syst. I, vol. 44, pp. 1099-1101, 1997.
7. A. Michel, J. A. Farrell, and W. Porod, "Qualitative analysis of neural networks," IEEE Trans. Circuits Syst., vol. 36, pp. 229-243, 1989.
8. S. I. Sudharsanan and M. K. Sundareshan, "Exponential stability and a systematic synthesis of a neural network for quadratic minimization," Neural Networks, vol. 4, pp. 599-613, 1991.
9. 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. 33, pp. 533-541, 1986.
10. H. Yang and T. S. Dillon, "Exponential stability and oscillation of Hopfield graded response neural network," IEEE Trans. Neural Networks, vol. 5, pp. 719-729, 1994.
11. Y. Zhang, "Global exponential stability and periodic solutions of delay Hopfield neural networks," Int. J. Syst. Sci., vol. 27, no. 2, pp. 227-231, 1996.
12. Y. Zhang, S. M. Zhong, and Z. L. Li, "Periodic solutions and global stability of delay Hopfield neural networks," Int. J. Syst. Sci., vol. 27, no. 9, pp. 895-901, 1996.