Global asymptotic stability of generalized bi-directional associative memory networks with discrete and distributed delays

Chaos, Solitons and Fractals

Volumn 28, Issue 3, 2006, Pages 793-803

  Liu, Yurong ^a   Wang, Zidong ^b   Liu, Xiaohui ^b  

^a YANGZHOU UNIVERSITY   (China)

^b BRUNEL UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ASSOCIATIVE PROCESSING; DELAY CIRCUITS; DISCRETE TIME CONTROL SYSTEMS; FUNCTIONS; LINEAR EQUATIONS; MATRIX ALGEBRA;

GENERALIZED BI-DIRECTIONAL ASSOCIATIVE MEMORY (GBAM); LINEAR MATRIX INEQUALITIES (LMIS); LYAPUNOV-KRASOVSKII STABILITY THEORY; MATLAB LMI TOOLBOX;

ASYMPTOTIC STABILITY;

EID: 27644564389     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.08.004     Document Type: Article

References (23)

1. S. Arik Stability analysis of delayed neural networks IEEE Trans Circ Syst-I 47 2000 1089 1092
2. P. Baldi, and A.F. Atiya How delays affect neural dynamics and learning IEEE Trans Neural Networks 5 1994 612 621
3. S. Boyd, L.EI. Ghaoui, E. Feron, and V. Balakrishnan Linear matrix inequalities in system and control theory 1994 SIAM Philadephia
4. J. Cao Periodic oscillation and exponential stability of delayed CNNs Phys Lett A 270 2000 157 163
5. J. Cao, and L. Wang Exponential stability and periodic oscillatory solution in BAM networks with delays IEEE Trans Neural Networks 13 2 2002 457 463
6. J. Cao Global asymptotic stability of delayed bi-directional associative memory neural networks Appl Math Comput 142 2003 333 339
7. J. Cao, and Q. Jiang An analysis of periodic solutions of bi-directional associative memory networks with time-varying delays Phys Lett A 330 3-4 2004 203 213
8. M.A. Cohen, and S. Grossberg Absolute stability and global pattern formation and parallel memory storage by competitive neural networks IEEE Trans Syst Man Cyber SMC-13 1983 815 821
9. B. De Vries, and J.C. Principle The gamma model-a new neural model for temporal processing Neural Networks 5 1992 565 576
10. K. Gopalsamy, and X.Z. He Delay-independent stability in bi-directional associative memory networks IEEE Trans Neural Networks 5 1994 998 1002
11. J.K. Hale The theory of functional differential equations 1977 Springer-Verlag New York
12. X. Huang, J. Cao, and D.-S. Huang LMI-based approach for delay-dependent exponential stability analysis of BAM neural networks Chaos, Solitons & Fractals 24 3 2005 885 898
13. B. Kosko Adaptive bi-directional associative memories Appl Opt 26 23 1987 4947 4960
14. B. Kosko Bi-directional associative memories IEEE Trans Syst Man Cyber 18 1 1988 49 60
15. B. Kosko Neural networks and fuzzy systems-a dynamical system approach machine intelligence 1992 Prentice-Hall Englewood Cliffs (NJ)
16. J. Liang, and J. Cao Global asymptotic stability of bi-directional associative memory networks with distributed delays Appl Math Comput 152 2 2004 415 424
17. Z. Liu, A. Chen, J. Cao, and L. Huang Existence and global exponential stability of periodic solution for BAM neural networks with periodic coefficients and time-varying delays IEEE Trans Circ Syst I: Fundam Theory Appl 50 9 2003 1162 1173
18. J.C. Principle, J.-M. Kuo, and S. Celebi An analysis of the gamma memory in dynamic neural networks IEEE Trans Neural Networks 5 2 1994 337 361
19. S. Ruan, and R.S. Filfil Dynamics of a two-neuron system with discrete and distributed delays Physica D 191 2004 323 342
20. D.W. Tank, and J.J. Hopfield Neural computation by concentrating information in time Proc Natl Acad Sci USA 84 1987 1896 1991
21. Z. Wang, D.W.C. Ho, and X. Liu State estimation for delayed neural networks IEEE Trans Neural Networks 16 1 2005 279 284
22. S. Xu, J. Lam, and D.W.C. Ho Global robust exponential stability analysis for interval recurrent neural networks Phys Lett A 325 2004 124 133
23. H. Zhao Global stability of bidirectional associative memory neural networks with distributed delays Phys Lett A 297 2002 182 190