Exponential stability for stochastic BAM networks with discrete and distributed delays

Applied Mathematics and Computation

Volumn 218, Issue 11, 2012, Pages 6188-6199

  Bao, Haibo ^a   Cao, Jinde ^a  

^a SOUTHEAST UNIVERSITY   (China)

Author keywords

BAM neural networks; Discrete and distributed delays; Exponential stability in the mean square; LMI; Lyapunov functional

Indexed keywords

BAM NEURAL NETWORK; DISCRETE AND DISTRIBUTED DELAYS; EXPONENTIAL STABILITY IN THE MEAN SQUARE; LMI; LYAPUNOV FUNCTIONALS;

LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; STOCHASTIC SYSTEMS;

NEURAL NETWORKS;

EID: 84855903450     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2011.11.035     Document Type: Article

References (25)

1. B.T. Cui, and X.Y. Lou Global asymptotic stability of BAM neural networks with distributed delays and reaction-diffusion terms Chaos Solition Fract. 27 5 2006 1347 1354 (Pubitemid 41329828)
2. Y.K. Li Existence and stability periodic solution for BAM neural networks with distributed delays Appl. Math. Comput. 159 3 2004 847 862
3. Q.K. Song, Z.J. Zhao, and Y.M. Li Global exponential stability of BAM with distributed delays and reaction-diffusion terms Phys. Lett. A 335 213 2005 213 225
4. Z. Liu, A.P. Chen, J.D. Cao, and L.H. Huang Existence and global exponential stability of almost periodic solutions of BAM neural networks with continuously distributed delays Phys. Lett. A 319 3/4 2003 305 316
5. H.Y. Zhao Global stability of bidirectional associative memory neural networks with distributed delays Phys. Lett. A 297 3/4 2002 182 190
6. K. Gopalsamy, and X.Z. He Delay-independent stability in bi-directional associative memory network IEEE Trans. Neural Netw. 5 1 1994 998 1002
7. X.Y. Lou, and B.T. Cui Stochastic exponential stability for Markovian jumping BAM neural networkd with time-varying delays IEEE Trans. Syst. Man Cybernet. 37 3 2007
8. Y. Liu, Z. Wang, and X. Liu Global asymptotic stability of generalized bi-directional associative memory networks with discrete and distributed delays Chaos Solition Fract. 28 3 2006 793 803 (Pubitemid 41550201)
9. J. Liang, and J. Cao Global output convergence of recurrent neural networks with distributed delays Nonlinear Anal.: Real World Applications 8 1 2007 187 197 (Pubitemid 44584792)
10. J. Liang, J. Cao, and D.W.C. Ho Discrete-time bidirectional associative memory networks with delays Phys. Lett. A 335 2/3 2005 226 234 (Pubitemid 40152956)
11. J. Liang, and J. Cao Exponential stability of continuous-time and discrete-time bidirectional associative memory networks with delays Chaos Solition. Fract. 22 4 2004 773 785
12. X.F. Liao Delay-dependent exponential stability analysis of delayed neural networks: an LMI approach Neural Netw. 16 10 2003 1401 1402
13. Z.G. Liu, A.P. Chen, J. Cao, and L.H. Huang Existence and global exponential stability of periodic solution for BAM neural networks with periodic coefficients and time-varying delays IEEE Trans. Neural Netw. 13 2 2002 457 463 (Pubitemid 34475046)
14. J. Cao, and L. Wang Exopnential stability and periodic oscillatory solution in BAM networks with delays IEEE Trans. Neural Netw. 13 2 2002 457 463 (Pubitemid 34475046)
15. S. Arik Global asymptotic stability analysis of bidirectional associative memory neural networks with time delays IEEE Trans. Neural Netw. 16 3 2005 580 586 (Pubitemid 40718004)
16. B. Kosko Bi-directional associative memories IEEE Trans. Syst. Man Cybern. 18 1 1988 49 60
17. B. Kosko Adaptive bi-directional associative memories Appl. Opt. 26 23 1987 4947 4960
18. D.W. Tank, and J.J. Hopfield Neural compututation by concentrating information in time Proc. Natl. Acad. Sci. USA 84 1987 1896 1991
19. Y. Liu, Z. Wang, and X. Liu On globally exponential stability of generalized stochastic neural networks with mixed time delays Neurocomputing 70 1-3 2006 314 326 (Pubitemid 44615800)
20. J.K. Hale The theory of functional differential equations 1997 Springer-Verlag New York
21. Y. Wang, L. Xie, and C.E. de Souza Robust control of a class of uncertain nonlinear sysrems Syst. Control Lett. 19 1992 139 149 (Pubitemid 23572546)
22. S. Blythe, X. Mao, and X. Liao Stability of stochastic delay neural networks J. Franklin Inst. 338 2001 481 495 (Pubitemid 32446621)
23. M.A. Cohen, and S. Grossberg Absolute stability and global pattern formation and parallel memory storage by competitive neural networks IEEE Trans. Syst. Man Cybernet. SMC-13 1983 815 821
24. J. Hu, S. Zhong, and L. Liang Exponential stability analysis of stochastic delayed cellular cellular neural network Chaos Solition Fract. 27 4 2006 1006 1010 (Pubitemid 41252928)
25. H. Huang, D.W.C. Ho, and J. Lam Stochastic stability analysis of fuzzy Hopfield neural networks with time-varying delays IEEE Trans. Circuits Syst. 52 5 2005 251 255 (Pubitemid 40794924)