Periodic bi-directional Cohen-Grossberg neural networks with distributed delays

Nonlinear Analysis, Theory, Methods and Applications

Volumn 66, Issue 12, 2007, Pages 2947-2961

  Chen, Anping ^a   Cao, Jinde ^b  

^a XIANGNAN UNIVERSITY   (China)

^b SOUTHEAST UNIVERSITY   (China)

Author keywords

Distributed delays; Global exponential stability; Periodic bi directional Cohen Grossberg neural networks

Indexed keywords

ASYMPTOTIC STABILITY; LYAPUNOV FUNCTIONS; PROBLEM SOLVING;

DISTRIBUTED DELAYS; GLOBAL EXPONENTIAL STABILITY; PERIODIC BI-DIRECTIONAL COHEN-GROSSBERG NEURAL NETWORKS;

NEURAL NETWORKS;

EID: 33947173257     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2006.04.016     Document Type: Article

References (21)

1. Cohen M., and Grossberg S. Absolute stability and global pattern formation and parallel memory storage by competitive neural networks. IEEE Trans. Syst. Man Cybernet. SMC 13 (1983) 815-826
2. Gopalsamy K., and He X.Z. Stability in asymmetric Hopfield nets with transmission delays. Physica D 76 (1994) 344-358
3. Hopfield J. Neurons with graded response have collective computational properties like those of two-stage neurons. Proc. Natl. Acad. Sci. USA 81 (1984) 3088-3092
4. Kosko B. Adaptive bi-directional associative memories. Appl. Opt. 26 23 (1987) 4947-4960
5. Kosko B. Bi-directional associative memories. IEEE Trans. Syst. Man Cybernet. 18 1 (1988) 49-60
6. Kosko B. Neural Networks and Fuzzy Systems-A Dynamical System Approach to Machine Intelligence (1992), Prentice-Hall, Englewood Cliffs, NJ pp. 38-108
7. Mitrinovic D.S., and Vasic P.M. Analytic Inequalities (1970), Springer-Verlag, New York
8. Cao J., and Dong M. Exponential stability of delayed bi-directional associative memory networks. Appl. Math. Comput. 135 (2003) 105-112
9. Liu Z., Chen A., Cao J., and Huang L. Existence and global exponential stability of periodic solution for BAM neural networks with periodic coefficients and time-varying delays. IEEE Trans. Circuits Syst.-I 50 9 (2003) 1162-1173
10. Van den Driessche P., and Zou X. Global attractivity in delayed Hopfield neural network models. SIAM J. Appl. Math. 58 (1998) 1878-1890
11. Wang L., and Zou X. Harmless delays in Cohen-Grossberg neural networks. Physica D 170 (2002) 162-173
12. Wang L., and Zou X. Exponential stability of Cohen-Grossberg neural networks. Neural Networks 15 (2002) 415-422
13. Wu J. Symmetric functional differential equations and neural networks with memory. Trans. Amer. Math. Soc. 350 (1999) 4799-4838
14. Wu J., and Zou X. Patterns of sustained oscillations in neural networks with time delayed interactions. Appl. Math. Comput. 73 (1995) 55-75
15. Ye H., Michel A.N., and Wang K. Qualitative analysis of Cohen-Grossberg neural networks with multiple delays. Phys. Rev. E 51 (1995) 2611-2618
16. Liao X. Stability of the Hopfield neural networks. Sci. China, Ser. A 23 5 (1993) 523-532
17. Zheng Y., and Chen T. Global exponential stability of delayed periodic dynamical systems. Phys. Lett. A 322 (2004) 344-355
18. Rao V.S.H., and Nagaraj R. Global exponential convergence analysis of activations in bi-directional associative memory neural networks. Differential Equations Dynam. Systems 12 1-2 (2004) 3-21
19. Cao J., and Li X. Stability in delayed Cohen-Grossberg neural networks: LMI optimization approach. Physica D 212 1-2 (2005) 54-65
20. Cao J., and Liang J. Boundedness and stability for Cohen-Grossberg neural networks with time-varying delays. J. Math. Anal. Appl. 296 2 (2004) 665-685
21. Yuan K., and Cao J. An analysis of global asymptotic stability of delayed Cohen-Grossberg neural networks via nonsmooth analysis. IEEE Trans. Circuits Syst.-I 52 9 (2005) 1854-1861