Robust stability analysis of generalized neural networks with discrete and distributed time delays

Chaos, Solitons and Fractals

Volumn 30, Issue 4, 2006, Pages 886-896

  Wang, Zidong ^a,b   Shu, Huisheng ^b   Liu, Yurong ^c   Ho, Daniel W C ^d   Liu, Xiaohui ^a  

^a BRUNEL UNIVERSITY   (United Kingdom)

^b DONGHUA UNIVERSITY   (China)

^c YANGZHOU UNIVERSITY   (China)

^d CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DELAY CIRCUITS; INVARIANCE; MATRIX ALGEBRA; OPTIMIZATION; ROBUSTNESS (CONTROL SYSTEMS); TIME DOMAIN ANALYSIS;

DISTRIBUTED DELAYS; GENERALIZED NEURAL NETWORKS (GNNS); LINEAR MATRIX INEQUALITY (LMI); LYAPUNOV-KRASOVSKII FUNCTIONAL;

NEURAL NETWORKS;

EID: 33646499073     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.08.166     Document Type: Article

References (28)

1. Arik S. Stability analysis of delayed neural networks. IEEE Trans Circ Syst-I 47 (2000) 1089-1092
2. Baldi P., and Atiya A.F. How delays affect neural dynamics and learning. IEEE Trans Neural Networks 5 (1994) 612-621
3. Boyd S., Ghaoui L.E., Feron E., and Balakrishnan V. Linear matrix inequalities in system and control theory (1994), SIAM, Philadelphia
4. Cao J. Periodic oscillation and exponential stability of delayed CNNs. Phys Lett A 270 (2000) 157-163
5. Cao J., and Ho D.W.C. A general framework for global asymptotic stability analysis of delayed neural networks based on LMI approach. Chaos, Solitons & Fractals 24 (2005) 1317-1329
6. Cao J., Huang D.S., and Qu Y. Global robust stability of delayed recurrent neural networks. Chaos, Solitons & Fractals 23 (2005) 221-229
7. Cao J., and Chen T. Globally exponentially robust stability and periodicity of delayed neural networks. Chaos, Solitons & Fractals 22 (2004) 957-963
8. Cao J., Liang J., and Lam J. Exponential stability of high-order bidirectional associative memory neural networks with time delays. Phys D: Nonlinear Phenomena 199 (2004) 425-436
9. Chen A., Cao J., and Huang L. Global robust stability of interval cellular neural networks with time-varying delays. Chaos, Solitons & Fractals 23 (2005) 787-799
10. ∞ filtering for uncertain systems with multiple time-varying state delays. IEEE Trans Circ Syst-Part I 50 4 (2003) 594-599
11. ∞ filtering for uncertain discrete-time state-delayed systems. IEEE Trans Signal Process 52 6 (2004) 1631-1640
12. Huang H., Cao J., and Qu Y. Global robust stability of delayed neural networks with a class of general activation functions. J Comput Syst Sci 69 4 (2004) 688-700
13. Huang H., Ho D.W.C., and Cao J. Analysis of global exponential stability and periodic solutions of neural networks with time-varying delays. Neural Networks 18 (2005) 161-170
14. Joy M.P. On the global convergence of a class of functional differential equations with applications in neural network theory. J Math Anal Appl 232 (1999) 61-81
15. Joy M.P. Results concerning the absolute stability of delayed neural networks. Neural Networks 13 (2000) 613-616
16. Liang J., and Cao J. Global asymptotic stability of bi-directional associative memory networks with distributed delays. Appl Math Comput 152 (2004) 415-424
17. Liu Y, Wang Z, Liu X. Global exponential stability of generalized recurrent neural networks with discrete and distributed delays. Neural Networks, in press.
18. Liu Z., Chen A., and Huang L. Periodic oscillatory solution to delayed BAM neural networks with impulses. Int J Nonlinear Sci Numer Simul 5 4 (2004) 355-362
19. Morita M. Associative memory with nonmonotone dynamics. Neural Networks 6 6 (1993) 115-126
20. Ruan S., and Filfil R.S. Dynamics of a two-neuron system with discrete and distributed delays. Physica D 191 (2004) 323-342
21. Song Q., Cao J., and Zhao Z. Periodic solutions and its exponential stability of reaction-diffusion recurrent neural networks with continuously distributed delays. Nonlinear Anal: Real World Appl 7 1 (2006) 65-80
22. Van den Driessche P., and Zou X. Global attractivity in delayed Hopfield neural networks model. SIAM J Appl Math 58 (1998) 1878-1890
23. Wang Z., Ho D.W.C., and Liu X. State estimation for delayed neural networks. IEEE Trans Neural Networks 16 (2005) 279-284
24. Wang Z., Liu Y., and Liu X. On global asymptotic stability of neural networks with discrete and distributed delays. Phys Lett A 345 (2005) 299-308
25. Xu S., Lam J., and Ho D.W.C. Global robust exponential stability analysis for interval recurrent neural networks. Phys Lett A 325 (2004) 124-133
26. Zhang Y. Global exponential stability and periodic solutions of delay Hopfield neural networks. Int J Syst Sci 27 (1996) 227-231
27. Zhao H. Global asymptotic stability of Hopfield neural network involving distributed delays. Neural Networks 17 (2004) 47-53
28. Zhao H. Existence and global attractivity of almost periodic solution for cellular neural network with distributed delays. Appl Math Comput 154 (2004) 683-695