Impulsive effects on stability of Cohen-Grossberg-type bidirectional associative memory neural networks with delays

Nonlinear Analysis: Real World Applications

Volumn 10, Issue 4, 2009, Pages 2531-2540

  Zhou, Qinghua ^a   Wan, Li ^b,c  

^a ZHAOQING UNIVERSITY   (China)

^b HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^c WUHAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Bidirectional associative memory neural networks; Global exponential stability; Impulse; Lyapunov functional

Indexed keywords

ASSOCIATIVE PROCESSING; STABILITY; TELECOMMUNICATION NETWORKS; TIME VARYING NETWORKS;

ACTIVATION FUNCTIONS; ANALYSIS METHODS; BIDIRECTIONAL ASSOCIATIVE MEMORY NEURAL NETWORKS; BOUNDEDNESS; DELAY INDEPENDENTS; DIFFERENTIABILITY; EQUILIBRIUM POINTS; EXPONENTIAL STABILITIES; GLOBAL EXPONENTIAL STABILITY; ILLUSTRATIVE EXAMPLES; IMPULSE; IMPULSIVE EFFECTS; INEQUALITY TECHNIQUES; LYAPUNOV FUNCTIONAL; LYAPUNOV FUNCTIONALS; M MATRIXES; SUFFICIENT CONDITIONS;

NEURAL NETWORKS;

EID: 61749103826     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2008.05.009     Document Type: Article

References (32)

1. Akca H., Alassar R., Covachev V., and Al-Zahrani E. Continuous-time additive Hopfield-type neural networks with impulses. J. Math. Anal. Appl. 290 (2004) 436-451
2. Arik S., and Orman Z. Global stability analysis of Cohen-Grossberg neural networks with time varying delays. Phys. Lett. A 341 (2005) 410-421
3. Cao J.D. Global asymptotive stability of delayed bi-directional associative memory networks. Appl. Math. Comput. 142 (2003) 333-339
4. Cao J.D., and Dong M. Exponential stability of delayed bi-directional associative memory neural networks. Appl. Math. Comput. 135 (2003) 105-112
5. Cao J.D., and Liang J.L. Boundedness and stability for Cohen-Grossberg neural network with time-varying delays. J. Math. Anal. Appl. 296 (2004) 665-685
6. Cao J.D., and Song Q.K. Stability in Cohen-Grossberg-type bidirectional associative memory neural networks with time-varying delays. Nonlinearity 19 (2006) 1601-1617
7. Cao J.D., and Li X.L. Stability in delayed Cohen-Grossberg neural networks: LMI optimization approach. Physica D 212 (2005) 54-65
8. Cao J.D., and Yang Y. Global stability analysis of bi-directional associative memory neural networks with time delay. Int. J. Circ. Theor. Appl. 29 (2001) 185-196
9. Chen A.P., Cao J.D., and Huang L.H. Exponential stability of BAM neural networks with transmission delays. Neurocomputing 57 (2004) 435-454
10. Cohen M., and Grossberg S. Absolute stability of global pattern formation and parallel memory storage by competitive neural networks. IEEE Trans. Syst., Man Cybern. 13 (1983) 815-826
11. Chen T.P., and Rong L. Delay-independent stability analsis of Cohen-Grossberg neural networks. Phys. Lett. A 317 (2003) 436-449
12. Feng C., and Plamondon R. Stability analysis of bidirectional associative memory networks with time delays. IEEE Trans. Neural Netw. 14 (2003) 1560C1565
13. Guan Z.H., and Chen G.R. On equilibria, stability and instability of Hopfield neural networks. IEEE Trans. Neural Netw. 2 (2000) 534-540
14. Guan Z.H., James L., and Chen G.R. On impulsive auto-associative neural networks. Neural Netw. 13 (2000) 63-69
15. Gopalsamy K. Global asymptotic stability in a periodic Lotka-Volterra system. J. Aust. Math. Soc. B 27 (1985) 66-72
16. Gopalsamy K., and He X. Delay-independent stability in bi-directional associative memory with axonal signal transmission delays. IEEE Trans. Neural Netw. 5 (1994) 998-1002
17. Kosko B. Bi-directional associative memories. IEEE Trans. Syst. Man Cybern. 18 (1988) 49-60
18. Kosko B. Adaptive bidirectional associative memories. Appl. Opt. 26 (1987) 4947-4960
19. Kosko B. Neural Networks and Fuzzy Systems-A Dynamical System Approach Machine Intelligence (1992), Prentice-Hall, Englewood Cliffs, NJ
20. Li Y. Global exponential stability of BAM neural networks with delays and impulses. Chaos Solitons Fractals 24 (2005) 279-285
21. Li C., Liao X., and Zhang R. Delay-dependent exponential stability analysis of bi-directional associative memoty neural networks with time delay: An LMI approach. Chaos Solitons Fractals 24 (2005) 1119-1134
22. Liang J.L., and Cao J.D. Exponential stability of continuous-time and discrete-time bidirectional associative memory networks with delays. Chaos Solitons Fractals 22 (2004) 773-785
23. Liao X., Yang S., Chen S., and Fu Y. Stability of general neural networks with reaction-diffusion. Sci. China (Ser. F) 44 (2001) 389-395
24. Rao V.S.H., and Phaneendra B.R.M. Global dynamics of bi-directional associative memory neural networks involving transmission delays and dead zones. Neural Netw. 12 (1999) 455-465
25. Song Q.K., and Cao J.D. Global exponential stability and existence of periodic solutions in BAM networks with delays and reaction-diffusion terms. Chaos Solitons Fractals 23 (2005) 421-430
26. Sun J.H., and Wan L. Global exponential stability and periodic solutions of Cohen-Grossberg neural networks with continuously distributed delays. Physica D 208 (2005) 1-20
27. Wan L., and Sun J.H. Global asymptotic stability of Cohen-Grossberg neural network with continuously distributed delays. Phys. Lett. A 324 (2005) 331-340
28. Yuan K., and Cao J.D. An analysis of global asymptotic stability of delayed Cohen-Grossberg neural networks via nonsmooth analysis. IEEE Trans. Circuits Syst. I 52 (2005) 1854-1861
29. Zhao H.Y. Global stability of bidirectional associative memory neural networks with distributed delays. Phys. Lett. A 297 (2002) 182-190
30. Zhang J., Suda Y., and Komine H. Global exponential stability of Cohen-Grossberg neural networks with variable delays. Phys. Lett. A 338 (2005) 44-50
31. Zhou Q.H., Wan L., and Sun J.H. Exponential stability of reaction-diffusion generalized Cohen-Grossberg neural networks with time-varying delays. Chaos Solitons Fractals 32 (2007) 1713-1719
32. Zhou Q.H., Sun J.H., and Chen G.R. Global exponential stability and periodic oscillations of reaction-diffusion BAM neural networks with periodic coefficients and general delays. Internat. J. Bifurc. Chaos 17 (2007) 129-142