Global robust stability of delayed neural networks

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 50, Issue 1, 2003, Pages 156-160

  Arik, Sabri ^a  

^a ISTANBUL UNIVERSITY   (Turkey)

Author keywords

Dynamical interval neural networks; Equilibrium analysis; Global robust stability

Indexed keywords

ELECTRIC NETWORK ANALYSIS; FUNCTIONS; NEURAL NETWORKS; ROBUSTNESS (CONTROL SYSTEMS);

DELAYED NEURAL NETWORKS;

DELAY CIRCUITS;

EID: 0037216938     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2002.807515     Document Type: Article

References (27)

1. T. Roska, C. W. Wu, and L. O. Chua, "Stability of cellular neural networks with dominant nonlinear and delay-type template," IEEE Trans. Circuits Syst. I, vol. 40, pp. 270-272, Apr. 1993.
2. T. Roska, C. W. Wu, M. Balsi, and L. O. Chua, "Stability and dynamics of delay-type general and cellular neural networks," IEEE Trans. Circuits Syst. I, vol. 39, pp. 487-490, June 1992.
3. H. Ye, A. N. Michel, and K. Wang, "Qualitative analysis of Cohen-Grossberg neural networks with multiple delays," Phys. Rev. E, vol. 51, pp. 2611-2618, Mar. 1995.
4. M. Gilli, P. P. Civalleri, and L. Pandolfi, "On stability of cellular neural networks with delay," IEEE Trans. Circuits Syst. I, vol. 40, pp. 157-164, Mar. 1993.
5. S. Arik and V. Tavsanoglu, "Equilibrium analysis of delayed CNNs," IEEE Trans. Circuits Syst. I, vol. 45, pp. 168-171, Feb. 1998.
6. J. D. Cao, "Periodic-solutions and exponential stability in delayed cellular neural networks," Phys. Rev. E, vol. 60, no. 3, pp. 3244-3248, 1999.
7. S. Arik, "Stability analysis of delayed neural networks," IEEE Trans. Circuits Syst. I, vol. 47, pp. 1089-1093, July 2000.
8. S. Arik and V. Tavsanoglu, "On the global asymptotic stability of delayed cellular neural networks," IEEE Trans. Circuits Syst.I, vol. 47, no. 5, pp. 571-574, Apr. 2000.
9. T.-L. Liao and F.-C. Wang, "Global stability for cellular neural networks with time delay," IEEE Trans. Neural Networks, vol. 11, pp. 1481-1485, Nov. 2000.
10. N. Takahashi, "A new sufficient for complete stability of cellular neural networks with delay," IEEE Trans. Circuits Syst. I, vol. 47, pp. 793-799, June 2000.
11. X.F. Liao, K. W. Wong, and J. Yu, "Novel stability conditions for cellular neural networks with time delay," Int. J. Bifurcation Chaos, vol. 11, no. 7, pp. 1853-1864, 2001.
12. Z. Yi, P. A. Heng, and K. S. Leung, "Convergence analysis of delayed cellular neural networks with unbounded delay," IEEE Trans. Circuits Syst. I, vol. 48, pp. 680-687, June 2001.
13. J. Y. Zhang and Y. R. Yang, "Global stability analysis of bidirectional associative memory neural networks with time delay," Int. J. Circuit Theory App., vol. 29, no. 2, pp. 185-196, 2001.
14. H. Lu, "Stability Criteria for Delayed Neural Networks," Phys. Rev. E, vol 64, Nov. 2001.
15. J. Cao, "Global stability conditions for delayed CNNs," IEEE Trans. Circuits Syst. I, vol. 48, pp. 1330-1333, Nov. 2001.
16. H. Ye and A. N. Michel, "Robust stability of nonlinear time-delay systems with applications to neural networks," IEEE Trans. Circuits Syst. I, vol. 43, pp. 532-543, July 1996.
17. S. Arik, "An improved global stability result for delayed cellular neural networks," IEEE Trans. Circuits Syst. I, vol. 49, pp. 1211-1214, Aug. 2002.
18. K. Gopalsamy and X. He, "Stability in asymmetric hopfield nets with transmission delays," Phys. D, vol. 76, pp. 344-358, 1994.
19. Y. J. Cao and Q. H. Wu, "A note on stability of analog neural networks with time delays," IEEE Trans. Neural Networks, vol. 7, pp. 1533-1535, 1996.
20. Y. Zhang, "Global exponential stability and periodic solutions of delay hopfield neural networks," Int. J. Syst. Sci., vol. 27, pp. 227-231, 1996.
21. J. D. Cao and L. Wang, "Exponential stability and periodic oscillatory solution in BAM networks with delays," IEEE Trans. Neural Networks, vol. 13, pp. 457-463, Mar. 2002.
22. Z. Yi, P. A. Heng, and P. Vadakkepat, "Absolute periodicity and absolute stability of delayed neural networks," IEEE Trans. Circuits Syst. I, vol. 49, pp. 256-261, Feb. 2002.
23. J. Zhang, "Absolutely exponential stability in delayed cellular neural networks," Int. J. Circuit Theory Applicat., vol. 30, no. 4, pp. 395-409, 2002.
24. H. Huang, J. Cao, and J. Wang, "Global exponential stability and periodic solutions of recurrent neural networks with delays," Phys. Lett. A, vol. 298, pp. 393-404, 2002.
25. C. Sun, K. Zhang, S. Fei, and C. B. Fong, "On exponential stability of delayed neural networks with a general class of activation functions," Phys. Lett. A, vol. 298, pp. 122-132, 2002.
26. X. F. Liao and J. B. Yu, '"'Robust stability for interval Hopfield neural networks with time delay," IEEE Trans. Neural Networks, vol. 9, pp. 1042-1045, Sept. 1998.
27. X. F. Liao, K. W. Wong, Z. Wu, and G. Chen, "Novel robust stability for interval-delayed Hopfield neural," IEEE Trans. Circuits Syst. I, vol. 48, pp. 1355-1359, Nov. 2001.