On robust stability of uncertain stochastic neural networks with distributed and interval time-varying delays

Chaos, Solitons and Fractals

Volumn 42, Issue 4, 2009, Pages 2095-2104

  Feng, Wei ^a,c   Yang, Simon X ^b   Wu, Haixia ^c  

^a CHONGQING UNIVERSITY   (China)

^b UNIVERSITY OF GUELPH   (Canada)

^c CHONGQING UNIVERSITY OF EDUCATION   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; ROBUSTNESS (CONTROL SYSTEMS); STABILITY CRITERIA; STOCHASTIC SYSTEMS; TIME DELAY; TIME VARYING CONTROL SYSTEMS; TIME VARYING NETWORKS;

ASYMPTOTICALLY STABLE; DELAY-RANGE-DEPENDENT; DELAYED NEURAL NETWORKS; FREE-WEIGHTING MATRICES; INTERVAL TIME-VARYING DELAYS; ROBUST ASYMPTOTIC STABILITY; STOCHASTIC NEURAL NETWORK; UNCERTAIN NEURAL NETWORKS;

NEURAL NETWORKS;

EID: 67650996495     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2009.03.141     Document Type: Article

References (34)

1. Hopfield J.J. Neural networks and physical systems with emergent collective computational abilities. Proc Natl Acad Sci USA 79 (1982) 2554-2558
2. Cohen M.A., and Grossberg S. Absolute stability and global pattern formation and parallel memory storage by competitive neural networks. IEEE Trans Syst Man Cybern 13 (1983) 815-826
3. Chua L.O., and Yang L. Cellular neural networks: theory. IEEE Trans Circuits Syst I 35 (1988) 1257-1272
4. Kosko B. Adaptive bidirectional associative memories. Appl Opt 26 (1987) 4947-4960
5. Haykin S. Neural networks: a comprehensive foundation (1998), Prentice Hall, NJ
6. Cao J., Yuan K., and Li H.X. Global asymptotical stability of recurrent neural networks with multiple discrete delays and distributed delays. IEEE Trans Neural Netw 17 (2006) 1646-1651
7. Arik S. An analysis of exponential stability of delayed neural networks with time varying delays. Neural Netw 17 (2004) 1027-1031
8. Singh V. A generalized LMI-based approach to the global asymptotic stability of delayed cellular neural networks. IEEE Trans Neural Netw 15 (2004) 223-225
9. Singh V. Global robust stability of delayed neural networks: an LMI approach. IEEE Trans Circuits Syst II 52 (2005) 33-36
10. Zhang B., Xu S., Li Y., and Chu Y. On global exponential stability of high-order neural networks with time-varying delays. Phys Lett A 366 (2007) 69-78
11. Wang Z., Shu H., Liu Y., Ho D.W.C., and Liu X. Robust stability analysis of generalized neural networks with discrete and distributed time delays. Chaos, Solitons and Fractals 30 (2006) 886-896
12. Cao J., and Wang J. Global asymptotic and robust stability of recurrent neural networks with time delays. IEEE Trans Circuits Syst I 52 (2005) 417-426
13. Zhang Y., Heng P.A., and Leung K.S. Convergence analysis of cellular neural networks with unbounded delay. IEEE Trans Circuits Syst I 48 (2001) 680-687
14. Chen T.P., and Amari S. Stability of asymmetric Hopfield networks. IEEE Trans Neural Netw 12 (2001) 159-163
15. Wan L., and Sun J. Mean square exponential stability of stochastic delayed Hopfield neural networks. Phys Lett A 343 (2005) 306-318
16. Huang H., Ho D.W.C., and Lam J. Stochastic stability analysis of fuzzy Hopfield neural networks with time-varying delays. IEEE Trans Circuits Syst II 52 (2005) 251-255
17. Lou X. Cui BT, Stochastic exponential stability for Markovian jumping bam neural networks with time-varying delays. IEEE Trans Syst Man Cybern B 37 (2007) 713-719
18. Li C., and Liao X. Robust stability and robust periodicity of delayed recurrent neural networks with noise disturbance. IEEE Trans Circuits Syst I 53 (2006) 2265-2273
19. Zhang J., Shi P., and Qiu J. Novel robust stability criteria for uncertain stochastic Hopfield neural networks with time-varying delays. Nonlinear Anal RWA 8 (2007) 1349-1357
20. Huang H., and Feng G. Delay-dependent stability for uncertain stochastic neural networks with time-varying delay. Phys A 381 (2007) 93-103
21. Chen W.H., and Lu X. Mean square exponential stability of uncertain stochastic delayed neural networks. Phys Lett A 372 (2008) 1061-1069
22. Huang H., and Cao J. Exponential stability analysis of uncertain stochastic neural networks with multiple delays. Nonlinear Anal RWA 8 (2007) 646-653
23. Feng W., Yang S.X., Fu W., and Wu H. Robust stability analysis of uncertain stochastic neural networks with interval time-varying delay. Chaos, Solitons and Fractals 41 (2009) 414-424
24. Wang Z., Liu Y., Fraser K., and Liu X. Stochastic stability of uncertain Hopfield neural networks with discrete and distributed delays. Phys Lett A 354 (2006) 288-297
25. Wang Z., Lauria S., Fang J., and Liu X. Exponential stability of uncertain stochastic neural networks with mixed time-delays. Chaos, Solitons and Fractals 32 (2007) 62-72
26. Li H., Chen B., Zhou Q., and Fang S. Robust exponential stability for uncertain stochastic neural networks with discrete and distributed time-varying delays. Phys Lett A 372 (2008) 3385-3394
27. Rakkiyappan R., Balasubramaniam P., and Lakshmanan S. Robust stability results for uncertain stochastic neural networks with discrete interval and distributed time-varying delays. Phys Lett A 372 (2008) 5290-5298
28. 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
29. Rakkiyappan R., and Balasubramaniam P. LMI conditions for stability of stochastic recurrent neural networks with distributed delays. Chaos, Solitons and Fractals 40 (2009) 1688-1696
30. Li X.G., and Zhu X.J. Stability analysis of neutral systems with distributed delays. Automatica 44 (2008) 2197-2201
31. Shu Z., and Lam J. Global exponential estimates of stochastic interval neural networks with discrete and distributed delays. Neurocomputing 71 (2008) 2950-2963
32. He Y., Liu G.P., and Rees D. New delay-dependent stability criteria for neural networks with time-varying delay. IEEE Trans Neural Netw 18 (2007) 310-314
33. He Y., Wang Q.G., Xie L., and Lin C. Further improvement of free-weighting matrices technique for systems with time-varying delay. IEEE Trans Automatic Control 52 (2007) 293-299
34. Mao X. Stochastic differential equations and their applications (1997), Horwood, Chichester, UK