On global exponential stability of delayed cellular neural networks

Chaos, Solitons and Fractals

Volumn 33, Issue 1, 2007, Pages 188-193

  Singh, Vimal ^a  

^a ATILIM UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

DELAY CONTROL SYSTEMS; SYSTEM STABILITY;

GLOBAL EXPONENTIAL STABILITY; STABILITY CRITERION;

CELLULAR NEURAL NETWORKS;

EID: 33846817375     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.01.029     Document Type: Article

References (44)

1. Liao X., Chen G., and Sanchez E.N. Delay-dependent exponential stability analysis of delayed neural networks: an LMI approach. Neural Networks 15 7 (2002) 855-866
2. Cao J., and Wang J. Global asymptotic stability of recurrent neural networks with Lipschitz-continuous activation functions and time-varying delays. IEEE Trans Circ Syst I 50 1 (2003) 33-44
3. Zhang Q., Ma R., Wang C., and Xu J. On the global stability of delayed neural networks. IEEE Trans Autom Control 48 5 (2003) 794-797
4. Lu W., Rong L., and Chen T. Global convergence of delayed neural network systems. Int J Neural Syst 13 3 (2003) 193-204
5. Zhang Q., Wei X., and Xu J. Global asymptotic stability of Hopfield neural networks with transmission delays. Phys Lett A 318 4-5 (2003) 399-405
6. Singh V. A generalized LMI-based approach to the global asymptotic stability of delayed cellular neural networks. IEEE Trans Neural Networks 15 1 (2004) 223-225
7. Singh V. Robust stability of cellular neural networks with delay: linear matrix inequality approach. IEE Proc Control Theory Appl 151 1 (2004) 125-129
8. Singh V. Global asymptotic stability of cellular neural networks with unequal delays: LMI approach. Electron Lett 40 9 (2004) 548-549
9. Cao J., and Chen T. Globally exponentially robust stability and periodicity of delayed neural networks. Chaos, Solitons & Fractals 22 4 (2004) 957-963
10. Li C., Liao X., and Zhang R. Global robust asymptotical stability of multi-delayed interval neural networks: an LMI approach. Phys Lett A 328 6 (2004) 452-462
11. Cao J., Huang D.-S., and Qu Y. Global robust stability of delayed recurrent neural networks. Chaos, Solitons & Fractals 23 1 (2005) 221-229
12. Singh V. Global robust stability of delayed neural networks: an LMI approach. IEEE Trans Circ Syst II 52 1 (2005) 33-36
13. Senan S., and Arik S. New results for exponential stability of delayed cellular neural networks. IEEE Trans Circ Syst II 52 3 (2005) 154-158
14. Chen A., Cao J., and Huang L. Global robust stability of interval cellular neural networks with time-varying delays. Chaos, Solitons & Fractals 23 3 (2005) 787-799
15. Zhang Q., Wei X., and Xu J. Delay-dependent exponential stability of cellular neural networks with time-varying delays. Chaos, Solitons & Fractals 23 4 (2005) 1363-1369
16. Cao J., and Wang J. Global asymptotic and robust stability of recurrent neural networks with time delays. IEEE Trans Circ Syst I 52 2 (2005) 417-426
17. Singh V. A novel global robust stability criterion for neural networks with delay. Phys Lett A 337 4-6 (2005) 369-373
18. Xu S., Lam J., and Ho D.W.C. Novel global robust stability criteria for interval neural networks with multiple time-varying delays. Phys Lett A 342 4 (2005) 322-330
19. Cao J., and Wang J. Global exponential stability and periodicity of recurrent neural networks with time delays. IEEE Trans Circ Syst I 52 5 (2005) 920-931
20. Cao J., and Ho D.W.C. A general framework for global asymptotic stability of delayed neural networks based on LMI approach. Chaos, Solitons & Fractals 24 5 (2005) 1317-1329
21. He Y., Wang Q.G., and Zheng W.X. Global robust stability for delayed neural networks with polytopic type uncertainties. Chaos, Solitons & Fractals 26 5 (2005) 1349-1354
22. Yuan K., and Cao J. An analysis of global asymptotic stability of delayed Cohen-Grossberg neural networks via nonsmooth analysis. IEEE Trans Circ Syst I 52 9 (2005) 1854-1869
23. Hu J., Zhong S., and Liang L. Exponential stability analysis of stochastic delayed cellular neural network. Chaos, Solitons & Fractals 27 4 (2006) 1006-1010
24. Cui B.T., and Lou X.Y. Global asymptotic stability of BAM neural networks with distributed delays and reaction-diffusion terms. Chaos, Solitons & Fractals 27 5 (2006) 1347-1354
25. Liang J., and Cao J. A based-on LMI stability criterion for delayed recurrent neural networks. Chaos, Solitons & Fractals 28 1 (2006) 154-160
26. Zhang Q., Wei X., and Xu J. Stability analysis for cellular neural networks with variable delays. Chaos, Solitons & Fractals 28 2 (2006) 331-336
27. Tu F., Liao X., and Zhang W. Delay-dependent asymptotic stability of a two-neuron system with different time delays. Chaos, Solitons & Fractals 28 2 (2006) 437-447
28. Liu Y., Wang Z., and Liu X. Global asymptotic stability of generalized bi-directional associative memory networks with discrete and distributed delays. Chaos, Solitons & Fractals 28 3 (2006) 793-803
29. Lu J., Guo Y., and Xu S. Global asymptotic stability analysis for cellular neural networks with time delays. Chaos, Solitons & Fractals 29 2 (2006) 349-353
30. Singh V. Simplified LMI condition for global asymptotic stability of delayed neural networks. Chaos, Solitons & Fractals 29 2 (2006) 470-473
31. Zhu W., and Hu J. Stability analysis of stochastic delayed cellular neural networks by LMI approach. Chaos, Solitons & Fractals 29 1 (2006) 171-174
32. Jiang H, Teng Z. Boundedness and global stability for nonautonomous recurrent neural networks with distributed delays. Chaos, Solitons & Fractals, in press, doi:10.1016/j.chaos.2005.08.132.
33. Yang H, Chu T, Zhang C. Exponential stability of neural networks with variable delays via LMI approach. Chaos, Solitons & Fractals, in press, doi:10.1016/j.chaos.2005.08.134.
34. Singh V. New global robust stability results for delayed cellular neural networks based on norm-bounded uncertainties. Chaos, Solitons & Fractals, in press, doi:10.1016/j.chaos.2005.08.183.
35. Wang Z, Shu H, Liu Y, Ho DWC, Liu X. Robust stability analysis of generalized neural networks with discrete and distributed time delays. Chaos, Solitons & Fractals, in press, doi:10.1016/j.chaos.2005.08.166.
36. Liu H, Wang L. Globally exponential stability and periodic solutions of CNNs with variable coefficients and variable delays. Chaos, Solitons & Fractals, in press, doi:10.1016/j.chaos.2005.08.120.
37. Lou XY, Cui BT. Global asymptotic stability of delay BAM neural networks with impulses. Chaos, Solitons & Fractals, in press, doi:10.1016/j.chaos.2005.08.125.
38. Singh V. Improved global robust stability criterion for delayed neural networks. Chaos, Solitons & Fractals, in press, doi:10.1016/j.chaos.2005.09.050.
39. Zhang Q, Wei X, Xu J. Stability of delayed cellular neural networks. Chaos, Solitons & Fractals, in press, doi:10.1016/j.chaos.2005.10.003.
40. Mak KL, Peng JG, Xu ZB, Yiu KFC. A new stability criterion for discrete-time neural networks: nonlinear spectral radius. Chaos, Solitons & Fractals, in press, doi:10.1016/j.chaos.2005.09.075.
41. Huang T. Exponential stability of delayed fuzzy cellular neural networks with diffusion. Chaos, Solitons & Fractals, in press, doi:10.1016/j.chaos.2005.10.015.
42. Xia Y, Cao J, Lin M. New results on the existence and uniqueness of almost periodic solution for BAM neural networks with continuously distributed delays. Chaos, Solitons & Fractals, in press, doi:10.1016/j.chaos.2005.10.043.
43. Boyd S., Ghaoui L.E., Feron E., and Balakrishnan V. Linear matrix inequalities in system and control theory (1994), SIAM, Philadelphia, PA
44. Gahinet P., Nemirovski A., Laub A.J., and Chilali M. LMI control toolbox-for use with Matlab (1995), The MATH Works Inc, Natick, MA