Existence and stability of almost periodic solution for BAM neural networks with delays

Applied Mathematics and Computation

Volumn 137, Issue 1, 2003, Pages 177-193

  Chen, Anping ^a   Huang, Lihong ^b   Cao, Jinde ^c  

^a Chenzhou Teacher's College   (China)

^b HUNAN UNIVERSITY   (China)

^c SOUTHEAST UNIVERSITY   (China)

Author keywords

Almost periodic solution; BAM neural networks; Global stability

Indexed keywords

CONTROL; DELAY CIRCUITS; PATTERN RECOGNITION; THEOREM PROVING;

BIDIRECTIONAL ASSOCIATIVE MEMORY (BAM) NETWORKS;

NEURAL NETWORKS;

EID: 0037431453     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00095-4     Document Type: Article

References (23)

1. Fink A.M. Almost Periodic Differential Equation. 1974;Springer-Verlag, Berlin, Heidleberg, New York.
2. Cao J.D. Global stability analysis in delayed cellular neural networks. Phys. Rev. E. 59:1999;5940-5944.
3. Cao J.D. On stability of delayed cellular neural networks. Phys. Lett. A. 261:1999;303-308.
4. Cao J.D. Periodic oscillatory solution of bidirectional associative memory networks with delays. Phys. Rev. E. 61:2000;1825-1828.
5. Gopalsamy K., He X.Z. Delay-independent stability in bi-directional associative memory networks. IEEE Trans. Neural Networks. 5:1994;998-1002.
6. Gopalsamy K. Stability and Oscillations in Delay Differential Equations of Population. 1992;Kluwer, Dordrecht.
7. He C.Y. Almost Periodic Differential Equation. 1992;Higher Education Publishing House, Beijing. (in Chinese).
8. Jin C. Stability analysis of discrete-time Hopfield BAM neural networks. Acta. Auto. Sinica. 25(5):1999;606-612.
9. Kohonen T. Self-Organization and Associative Memory. 1988;Springer-Verlag, New York.
10. Kelly D.G. Stability in contractive nonlinear neural networks. IEEE Trans. Biomed. Eng. 37:1990;231-242.
11. Kosto B. Neural Networks and Fuzzy Systems - A Dynamical System Approach to Machine Intelligence. 1992;38-108 Prentice-Hall, Englewood Cliffs, NJ.
12. Kosto B. Adaptive bi-directional associative memories. IEEE Trans. Syst. Man Cybernet. 18:1988;49.
13. Kosto B. Bi-directional associative memories. IEEE Trans. Syst. Man Cybernet. 18:1988;49-60.
14. Liao X.F., Yu J.B. Qualitative analysis of bidrectional associative memory with time delays. Int. J. Circuit Theory Appl. 26:1998;219-229.
15. Liao X.X. Stability of the Hopfield neural networks. Sci. China. 23(5):1993;523-532.
16. Liang X.B. Global exponential stability and application of the Hopfield neural networks. Sci. China. 25(5):1995;523-532.
17. Wei J.J., Ruan S.G. Stability and bifurcation in a neural network model with two delays. Phys. D. 130:1999;255-272.
18. Cao J., Wang L. Exponential stability and periodic oscillatory solution in BAM networks with delays. IEEE Trans. Neural Networks. 13(2):2002.
19. Cao J. A set of stability criteria for delayed cellular neural networks. IEEE Trans. Circuits Syst. I. 48(4):2001;494-498.
20. Cao J. Global stability conditions for delayed CNNs. IEEE Trans. Circuits Syst. I. 48(11):2001;1330-1333.
21. Cao J. Periodic oscillation and exponential stability of delayed CNNs. Phys. Lett. A. 270(3-4):2000;157-163.
22. Cao J. Exponential stability and periodic solution of delayed cellular neural networks. Science in China (Series E). 43(3):2000;328-336.
23. Cao J. Global exponential stability of Hopfield neural networks. Int. J. Syst. Sci. 32(2):2001;233-236.