Stability in impulsive Cohen-Grossberg-type BAM neural networks with time-varying delays: A general analysis

Mathematics and Computers in Simulation

Volumn 80, Issue 12, 2010, Pages 2329-2349

  Li, Kelin ^a   Zeng, Huanglin ^b  

^a SICHUAN UNIVERSITY OF SCIENCE AND ENGINEERING   (China)

^b SUSE   (China)

Author keywords

Bi directional associative memory; Cohen Grossberg neural networks; Global exponential stability; Impulses; Time varying delays

Indexed keywords

BAM NEURAL NETWORK; BI-DIRECTIONAL ASSOCIATIVE MEMORIES; COHEN-GROSSBERG NEURAL NETWORKS; DELAY DIFFERENTIAL INEQUALITY; EXPONENTIAL CONVERGENCE RATE; GLOBAL EXPONENTIAL STABILITY; HOMEOMORPHISM THEORY; IMPULSIVE DISTURBANCES; IMPULSIVE INITIAL CONDITIONS; M-MATRIX; SUFFICIENT CONDITIONS; TIME-VARYING DELAY;

ASSOCIATIVE PROCESSING; ASSOCIATIVE STORAGE; CELLULAR NEURAL NETWORKS; EXPONENTIAL FUNCTIONS; SYSTEM STABILITY; TIME VARYING CONTROL SYSTEMS; UNMANNED AERIAL VEHICLES (UAV);

TIME VARYING NETWORKS;

EID: 77955428706     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2010.05.012     Document Type: Article

References (33)

1. S. Arik Global asymptotic stability analysis of bidirectional associative memory neural networks with time delays IEEE Trans. Neural Netw. 16 2005 580 586 (Pubitemid 40718004)
2. C. Bai Stability analysis of Cohen-Grossberg BAM neural networks with delays and impulses Chaos Solitons Fract. 35 2008 263 267
3. A. Berman, and R.J. Plemmons Nonnegative Matrices in the Mathematical Science 1979 Academic Press New York
4. J. Cao, and Q. Song Stability in Cohen-Grossberg-type bidirectional associative memory neural networks with time-varying delays Nonlinearity 19 2006 1601 1617 (Pubitemid 43941157)
5. A. Chen, and J. Cao Periodic bi-directional Cohen-Grossberg neural networks with distributed delays Nonlinear Anal. 66 2007 2947 2961 (Pubitemid 46412666)
6. J. Chen, and B. Cui Impulsive effects on global asymptotic stability of delay BAM neural networks Chaos Solitons Fract. 38 2008 1115 1125
7. M. Cohen, and S. Grossberg Absolute stability and global pattern formation and parallel memory storage by competitive neural networks IEEE Trans. Syst. Man Cybern. 1983 815 826
8. C. Feng, and R. Plamondon Stability analysis of bidirectional associative memory networks with time delays IEEE Trans. Neural Netw. 14 2003 1560 1565
9. M. Forti, and A. Tesi New conditions for global stability of neural networks with application to linear and quadratic programming problems IEEE Trans. Circuit Syst. I 42 1995 354 366
10. G.H. Hardy, J.E. Littlewood, and G. Polya Inequalities second ed. 1952 Cambridge University Press London p. 13
11. Z. Huang, and Y. Xia Global exponential stability of BAM neural networks with transmission delays and nonlinear impulses Chaos Solitons Fract. 38 2008 489 498 (Pubitemid 351621104)
12. H. Jiang, and J. Cao BAM-type Cohen-Grossberg neural networks with time delays Math. Comput. Modell. 47 2008 92 103 (Pubitemid 47615407)
13. B. Kosko Adaptive bi-directional associative memories Appl. Opt. 26 1987 4947 4960
14. B. Kosko Bi-directional associative memories IEEE Trans. Syst. Man Cybern. 18 1988 49 60
15. V. Lakshmikantham, D.D. Bainov, and P.S. Simeonov Theory of Impulsive Differential Equations 1989 World Scientific Singapore
16. K. Li Delay-dependent stability analysis for impulsive BAM neural networks with time-varying delays Comput. Math. Appl. 56 2008 2088 2099
17. X. Li, Exponential stability of Cohen-Grossberg-type BAM neural networks with time-varying delays via impulsive control, Neurocomputing 73 (2009) 525-530.
18. Y. Li Global exponential stability of BAM neural networks with delays and impulses Chaos Solitions Fract. 24 2005 279 285
19. Y. Li, and X. Fan Existence and globally exponential stability of almost periodic solution for Cohen-Grossberg BAM neural networks with variable coefficients Appl. Math. Modell. 33 2009 2114 2120
20. J. Liang, and J. Cao Exponential stability of continuous-time and discrete-time bidirectional associative memory networks with delays Chaos Solitons Fract. 22 2004 773 785
21. X. Lou, and B. Cui Global asymptotic stability of delay BAM neural networks with impulses based on matrix theory Appl. Math. Modell. 32 2008 232 239
22. C.M. Marcuss, and R.M. Westervelt Stability of analog neural networks with delay Phys. Rev. A 39 1989 347 359
23. S. Mohamad, and K. Gopalsamy Exponential stability preservation in semi-discretisations of BAM networks with nonlinear impulses Commun. Nonlinear Sci. Numer. Simul. 14 2009 27 50
24. S. Mohamad, and K. Gopalsamy A unified treatment for stability preservation in computer simulations of impulsive BAM networks Comput. Math. Appl. 55 2008 2043 2063
25. Z. Wen, and J. Sun Global asymptotic stability of delay BAM neural networks with impulses via nonsmooth analysis Neurocomputing 71 2008 1543 1549
26. Z. Wen, and J. Sun Stability analysis of delayed Cohen-Grossberg BAM neural networks with impulses via nonsmooth analysis Chaos Solitons Fract. 42 2009 1829 1837
27. Y. Xia, Z. Huang, and M. Han Existence and globally exponential stability of equilibrium for BAM neural networks with impulses Chaos Solitons Fract. 37 2008 588 597 (Pubitemid 351380465)
28. Y. Xia, Z. Huang, and M. Han Exponential p-stability of delayed Cohen-Grossberg-type BAM neural networks with impulses Chaos Solitons Fract. 38 2008 806 818 (Pubitemid 351633029)
29. H. Xiang, and J. Cao Exponential stability of periodic solution to Cohen-Grossberg-type BAM networks with time-varying delays Neurocomputing 72 2009 1702 1711
30. D. Xu, and Z. Yang Impulsive delay differential inequality and stability of neural networks J. Math. Anal. Appl. 305 2005 107 120 (Pubitemid 40350371)
31. F. Yang, C. Zhang, and D. Wu Global stability analysis of impulsive BAM type Cohen-Grossberg neural networks with delays Appl. Math. Comput. 186 2007 932 940
32. Z. Yang, and D. Xu Impulsive effects on stability of Cohen-Grossberg neural networks with variable delays Appl. Math. Comput. 177 2006 63 78 (Pubitemid 43815511)
33. Q. Zhou, and L. Wan Impulsive effects on stability of Cohen-Grossberg-type bidirectional associative memory neural networks with delays Nonlinear Anal.: Real World Appl. 10 2009 2531 2540