Mean square stability of uncertain stochastic BAM neural networks with interval time-varying delays

Cognitive Neurodynamics

Volumn 6, Issue 5, 2012, Pages 443-458

  Wu, Haixia ^a,b   Liao, Xiaofeng ^a   Feng, Wei ^b   Guo, Songtao ^a  

^a CHONGQING UNIVERSITY   (China)

^b CHONGQING UNIVERSITY OF EDUCATION   (China)

Author keywords

Interval time varying delays; Linear matrix inequalities (LMIs); Stability; Stochastic disturbances; Uncertain BAM neural networks

Indexed keywords

ARTICLE; ASSOCIATIVE MEMORY; BIDIRECTIONAL ASSOCIATIVE MEMORY; MATHEMATICAL PARAMETERS; NERVE CELL NETWORK; STOCHASTIC MODEL; TIME;

EID: 84872107081     PISSN: 18714080     EISSN: 18714099     Source Type: Journal    
DOI: 10.1007/s11571-012-9200-6     Document Type: Article

References (40)

1. Arik S (2005) Global asymptotic stability analysis of bidirectional associative memory neural networks with time delays. IEEE Trans Neural Netw 16:580-586 (Pubitemid 40718004)
2. Bao H, Cao J (2012) Exponential stability for stochastic BAM networks with discrete and distributed delays. Appl Math Comput 218:6188-6199
3. Blythe S, Mao X, Liao X (2001) Stability of stochastic delay neural networks. J Franklin Inst 338:481-495 (Pubitemid 32446621)
4. Boyd S, EI Ghaoui L, Feron E et al (1994) Linear matrix inequalities in system and control theory. SIAM, Philadelphia
5. Cao J, Xiao M (2007) Stability and Hopf bifurcation in a simplified BAM neural network with two time delays. IEEE Trans Neural Netw 18:416-430 (Pubitemid 46522566)
6. Cao J, Ho DWC, Huang X (2007) LMI-based criteria for global robust stability of bidirectional associative memory networks with time delay. Nonlinear Anal Theory Methods Appl 66:1558-1572 (Pubitemid 46072685)
7. Chang H, Feng Z, Wei X (2008) Object recognition and tracking with maximum likelihood bidirectional associative memory networks. Neurocomputing 72:278-292
8. Dong W, Wang R (2011) Exploring human rhythmic gait movement in the role of cerebral cortex signal. Appl Math Mech 32(2): 223-230
9. Hasan S, Siong N (1997) A parallel processing VLSI BAM engine. IEEE Trans Neural Netw 8(2):424-436 (Pubitemid 127765135)
10. Haykin S (1994) Neural networks. Prentice Hall, New York
11. He Y, Liu G, Rees D et al (2007) Stability analysis for neural networks with time-varying interval delay. IEEE Trans Neural Netw 18:1850-1854
12. Huang T, Huang Y, Li C (2008) Stability of periodic solution in fuzzy BAM neural networks with finite distributed delays. Neurocomputing 71:3064-3069
13. Khasminski R (1980) Stochastic stability of differential equations. Sijithoff and Noordhoff, Netherlands
14. Kosko B (1987) Adaptive bi-directional associative memories. Appl Opt 26:4947-4960
15. Kosko B (1988) Bidirectional associative memories. IEEE Trans Syst Man Cybern 18:49-60
16. Li C, Li C, Liao X (2011) Impulsive effects on stability of high-order BAM neural networks with time delays. Neurocomputing 74(10): 1541-1550
17. Liao X, Wong KW (2003) Global exponential stability of hybrid bidirectional associative memory neural networks with discrete delays. Phys Rev E 67:60-65
18. Liao X, Wong KW (2004) Robust stability of interval bidirectional associative memory neural network with time delays. IEEE Trans Syst Man Cybern 34:1142-1154
19. Liao X, Yu J, Chen G (2002) Novel stability criteria for bidirectional associative memory neural networks with time delays. Int J Circuit Theory Appl 30:519-546 (Pubitemid 35152253)
20. Liu Y, Wang Z, Liu X (2006) Global asymptotic stability of generalized bi-directional associative memory networks with discrete and distributed delays. Chaos, Solitons Fractals 28: 793-803 (Pubitemid 41550201)
21. Liu Y, Wang R, Zhang Z, Jiao X (2010) Analysis on stability of neural network in the presence of inhibitory neurons. Cogn Neurodyn 4:61-68
22. Lou X, Cui B (2006) On the global robust asymptotic stability of BAM neural networks with time-varying delays. Neurocomputing 70:273-279 (Pubitemid 44615809)
23. Lou X, Cui B (2007a) Stochastic exponential stability for Markovian jumping BAM neural networks with time-varying delays. IEEE Trans Syst Man Cybern 37:713-719 (Pubitemid 46784604)
24. Lou X, Cui B (2007b) Absolute exponential stability analysis of delayed bi-directional associative memory neural networks. Chaos, Solitons Fractals 31:695-701 (Pubitemid 44247640)
25. Ozcan N, Arik S (2009) A new sufficient condition for global robust stability of bidirectional associative memory neural networks with multiple time delays. Nonlinear Anal Real World Appl 10:3312-3320
26. Park J, Kwon O (2008) On improved delay-dependent criterion for global stability of bidirectional associative memory neural networks with time-varying delays. Appl Math Comp 199:435-446 (Pubitemid 351601855)
27. Qiu J, Yang H, Zhang J, Gao Z (2009) New robust stability criteria for uncertain neural networks with interval time-varying delays. Chaos, Solitons Fractals 39:579-585
28. Rakkiyappan R, Balasubramaniam P, Lakshmanan S (2008) Robust stability results for uncertain stochastic neural networks with discrete interval and distributed time-varying delays. Phys Lett A 372:5290-5298
29. Shua H, Wang Z, Lü Z (2009) Global asymptotic stability of uncertain stochastic bi-directional associative memory networks with discrete and distributed delays. Math Comp Simul 80:490-505
30. Song Q, Cao J (2007) Dynamics of bidirectional associative memory networks with distributed delays and reaction-diffusion terms. Nonlinear Anal Real World Appl 8:345-361 (Pubitemid 44584805)
31. Sudo A, Sato A, Hasegawa O (2009) Associative memory for online learning in noisy environments using self-organizing incremental neural network. IEEE Trans Neural Netw 20:964-972
32. Syed Ali M, Balasubramaniam P (2008) Robust stability for uncertain stochastic fuzzy BAM neural networks with time-varying delays. Phys Lett A 372:5159-5166
33. Teddy SD, Ng SK (2011) Forecasting ATM cash demands using a local learning model of cerebellar associative memory network. Int J Forecast 27:760-776
34. Wan L, Zhou Q (2007) Convergence analysis of stochastic hybrid bidirectional associative memory neural networks with delays. Phys Lett A 370:423-432
35. Wang Y (2009) Global exponential stability analysis of bidirectional associative memory neural networks with time-varying delays. Nonlinear Anal Real World Appl 10:1527-1539
36. Wang R, Zhang Z (2011) Phase synchronization motion and neural coding in dynamic transmission of neural information. IEEE Trans Neural Netw 22:1097-1106
37. Wang Y, Xie L, Souza CE (1992) Robust control of a class of uncertain nonlinear systems. Syst Control Lett 19:139-149 (Pubitemid 23572546)
38. Wu H, Feng W, Liang X (2008) New stability criteria for uncertain neural networks with interval time-varying delays. Cogn Neurodyn 2:363-370
39. Yuan Y, Li X (2010) New results for global robust asymptotic stability of BAM neural networks with time-varying delays. Neurocomputing 74:337-342
40. Zhang X, Wang R, Zhang Z (2010) Dynamic phase synchronization characteristics of variable high-order coupled neuronal oscillator population. Neurocomputing 73:665-2670