Exponential stability of Cohen-Grossberg-type BAM neural networks with time-varying delays via impulsive control

Neurocomputing

Volumn 73, Issue 1-3, 2009, Pages 525-530

  Li, Xiaodi ^a  

^a XIAMEN UNIVERSITY   (China)

Author keywords

Cohen Grossberg type BAM neural networks; Exponential stability; Impulsive control; Time varying delays

Indexed keywords

ANALYSIS METHOD; BAM NEURAL NETWORK; COHEN-GROSSBERG-TYPE BAM NEURAL NETWORKS; EQUILIBRIUM POINT; EXPONENTIAL CONVERGENCE RATE; EXPONENTIAL STABILITY; ILLUSTRATIVE EXAMPLES; IMPULSIVE CONTROL; IMPULSIVE CONTROLS; LYAPUNOV FUNCTIONALS; SUFFICIENT CONDITIONS; TIME-VARYING DELAY; TIME-VARYING DELAYS;

NEURAL NETWORKS; SYSTEM STABILITY; TIME VARYING CONTROL SYSTEMS;

TIME VARYING NETWORKS;

ANALYTIC METHOD; ARTICLE; ARTIFICIAL NEURAL NETWORK; CONTROLLED STUDY; EQUILIBRIUM CONSTANT; MATHEMATICAL COMPUTING; PRIORITY JOURNAL; STATISTICAL PARAMETERS; TIME;

EID: 70350743024     PISSN: 09252312     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neucom.2009.04.022     Document Type: Article

References (32)

1. Kosko B. Adaptive bidirectional associative memories. Applied Optics 26 (1987) 4947-4960
2. Kosko B. Bi-directional associative memories. IEEE Transactions on Systems, Man and Cybernetics 18 (1988) 49-60
3. Kosko B. Neural Networks and Fuzzy Systems-A Dynamical System Approach Machine Intelligence (1992), Prentice-Hall, Englewood Cliffs, NJ
4. Cohen M., and Grossberg S. Absolute stability of global pattern formation and parallel memory storage by competitive neural networks. IEEE Transactions on Systems, Man and Cybernetics 13 (1983) 815-826
5. Zhou Q., Sun J., and Chen G. Global exponential stability and periodic oscillations of reaction-diffusion BAM neural networks with periodic coefficients and general delays. International Journal of Bifurcation and Chaos 17 (2007) 129-142
6. Mao Z. Dynamical analysis of Cohen-Grossberg neural networks with distributed delays. Physics Letters A 364 (2007) 38-47
7. H. Xiang, J. Cao, Exponential stability of periodic solution to Cohen-Grossberg-type BAM networks with time-varying delays, Neurocomputing 72 (2009) 1702-1711.
8. Chen A., Huang L., Liu Z., and Cao J. Periodic bidirectional associative memory neural networks with distributed delays. Journal of Mathematical Analysis and Applications 317 (2006) 80-102
9. Gopalsamy K., and He X. Delay-independent stability in bi-directional associative memory with axonal signal transmission delays. IEEE Transactions on Neural Networks 5 (1994) 998-1002
10. Park J., Park C., Kwon O., and Lee S. A new stability criterion for bidirectional associative memory neural networks of neutral-type. Applied Mathematics and Computation 199 (2008) 716-722
11. Park J., and Kwon O. On improved delay-dependent criterion for global stability of bidirectional associative memory neural networks with time-varying delays. Applied Mathematics and Computation 199 (2008) 435-446
12. Huang G., and Cao J. Multistability in bidirectional associative memory neural networks. Physics Letters A 372 (2008) 2842-2854
13. Bai C. Global exponential stability and existence of periodic solution of Cohen-Grossberg type neural networks with delays and impulses. Nonlinear Analysis: Real World Applications 9 (2008) 747-761
14. Arik S., and Orman Z. Global stability analysis of Cohen-Grossberg neural networks with time varying delays. Physics Letters A 341 (2005) 410-421
15. Li C., Liao X., and Zhang R. Delay-dependent exponential stability analysis of bi-directional associative memory neural networks with time delay: an LMI approach. Chaos, Solitons and Fractals 24 (2005) 1119-1134
16. Tan M., and Tan Y. Global exponential stability of periodic solution of neural network with variable coefficients and time-varying delays. Applied Mathematical Modelling 33 (2009) 373-385
17. Gu H., Jiang H., and Teng Z. Existence and globally exponential stability of periodic solution of BAM neural networks with impulses and recent-history distributed delays. Neurocomputing 71 (2008) 813-822
18. Wu W., Cui B., and Lou X. Some criteria for asymptotic stability of Cohen-Grossberg neural networks with time-varying delays. Neurocomputing 70 (2007) 1085-1088
19. Cao J., and Li X. Stability in delayed Cohen-Grossberg neural networks: LMI optimization approach. Physica D 212 (2005) 54-65
20. Zhao H., Sun L., and Wang G. Periodic oscillation of discrete-time bidirectional associative memory neural networks. Neurocomputing 70 (2007) 2924-2930
21. Wen Z., and Sun J. Global asymptotic stability of delay BAM neural networks with impulses via nonsmooth analysis. Neurocomputing 71 (2008) 1543-1549
22. Zhou Q. Global exponential stability of BAM neural networks with distributed delays and impulses. Nonlinear Analysis: Real World Applications 10 (2009) 144-153
23. Bai C. Stability analysis of Cohen-Grossberg BAM neural networks with delays and impulses. Chaos, Solitons and Fractals 35 (2008) 263-267
24. Q. Zhou, L. Wan, Impulsive effects on stability of Cohen-Grossberg-type bidirectional associative memory neural networks with delays, Nonlinear Analysis: Real World Applications 10 (2009) 2531-2540.
25. X. Li, Z. Chen, Stability properties for Hopfield neural networks with delays and impulsive perturbations, Nonlinear Analysis: Real World Applications 10 (2009) 3253-3265.
26. Yang Z., and Xu D. Impulsive effects on stability of Cohen-Grossberg neural networks with variable delays. Applied Mathematics and Computation 177 (2006) 63-78
27. Li K. Delay-dependent stability analysis for impulsive BAM neural networks with time-varying delays. Computers Mathematics with Applications 56 (2008) 2088-2099
28. Xia Y., Huang Z., and Han M. Exponential p-stability of delayed Cohen-Grossberg-type BAM neural networks with impulses. Chaos, Solitons and Fractals 38 (2008) 806-818
29. Li Y., and Wang J. An analysis on the global exponential stability and the existence of periodic solutions for non-autonomous hybrid BAM neural networks with distributed delays and impulses. Computers Mathematics with Applications 56 (2008) 2256-2267
30. Huang T., Huang Y., and Li C. Stability of periodic solution in fuzzy BAM neural networks with finite distributed delays. Neurocomputing 71 (2008) 3061-3069
31. Huang T., Chan A., Huang Y., and Cao J. Stability of Cohen-Grossberg neural networks with time-varying delays. Neural Networks 20 (2007) 868-873
32. T. Huang, M. Roque-Sol, Stability of Fuzzy Cellular Neural Networks with Impulses, in: Lecture Notes in Computer Science, vol. 3971, Springer, Berlin, 2006, pp. 243-248.