Global attractive periodic solutions of BAM neural networks with continuously distributed delays in the leakage terms

Nonlinear Analysis: Real World Applications

Volumn 11, Issue 3, 2010, Pages 2141-2151

  Peng, Shiguo ^a  

^a GUANGDONG UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Bidirectional associative memory; Coincidence degree; Continuously distributed delay; Global attractor; Lyapunov functional; Neural networks; Periodic solutions

Indexed keywords

BI-DIRECTIONAL ASSOCIATIVE MEMORIES; COINCIDENCE DEGREE; CONTINUOUSLY DISTRIBUTED DELAYS; GLOBAL ATTRACTOR; LYAPUNOV FUNCTIONALS; PERIODIC SOLUTION;

ASSOCIATIVE PROCESSING; PROBLEM SOLVING;

NEURAL NETWORKS;

EID: 77950917878     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2009.06.004     Document Type: Article

References (20)

1. Kosko B. Neural Networks and Fuzzy Systems (1992), Prentice Hall, New Delhi
2. Kosko B. Adaptive bidirectional associative memories. Appl. Optim. 26 (1987) 4760-4947
3. Kosko B. Bidirectional associative memories. IEEE Trans. Syst. Man Cybernet. 18 (1988) 49-60
4. Liao X.F., Yu J., and Chen G. Novel stability criteria for bidirectional associative memory neural networks with time delays. Int. J. Circuit Theory Appl. 30 (2002) 519-546
5. Liao X.F., and Wong K.W. Global exponential stability of hybrid bidirectional associative memory neural networks with discrete delays. Phys. Rev. E 67 (2003) 042901
6. Sree Hari Rao V., Phaneendra BhRM., and Prameela V. Global dynamics of bidirectional associative memory networks with transmission delays. Differential Equations Dynam. Systems 4 (1996) 453-471
7. Sree Hari Rao V., and Phaneendra BhRM. Global dynamics of bidirectional associative memory networks involving transmission delays and dead zones. Neural Netw. 12 (1999) 455-465
8. Gopalsamy K., and He X.Z. Delay independent stability in bidirectional associative memory networks. IEEE Trans. Neural Netw. 5( (1994) 998-1002
9. Zhao H.Y. Global stability of bidirectional associative memory neural networks with distributed delays. Phys. Lett. A 297 (2002) 182-190
10. Zhang J., and Yang Y. Global stability analysis of bidirectional associative memory neural networks with time delay. Int. J. Circuit Theory Appl. 29 (2001) 185-196
11. Zhang Q., Ma R.N., and Xu J. Global stability of bidirectional associative memory neural networks with continuously distributed delays. Sci. China Ser. E 33 6 (2003) 481-487
12. Lao X.F., and Yu J.B. Investigation of periodic oscillation phenomenon for neural networks of BAM with axonal signal transmission delays. J. Electron. 21 1 (1999) 56-60
13. Cao J.D., and Wang L. Exponential stability and periodic oscillatory solution in BAM networks with delays. IEEE Trans. Neural Netw. 13 (2002) 457-463
14. Liu Z.G., Chen A.P., and Huang L.H. Existence and global exponential stability of periodic solution to self-connection BAM neural networks with delays. Phys. Lett. A 328 (2000) 127-143
15. Zhou T.J., Chen A.P., and Zhou Y.Y. Existence and global exponential stability of periodic solution to BAM neural networks with periodic coefficients and continuously distributed delays. Phys. Lett. A 343 (2005) 336-350
16. Haykin S. Neural Networks (1999), Prentice Hall, New Jersey
17. Gopalsamy K. Stability and Oscillations in Delay Differential Equations of Population Dynamics (1992), Kluwer Academic, Dordrecht
18. Gopalsamy K. Leakage delays in BAM. J. Math. Anal. Appl. 325 (2007) 1117-1132
19. Gains R.E., and Mawhin J.L. Coincidence degree, Nonlinear differential equations. Lecture in Mathematics vol. 568 (1977), Springer-Verlag, New York
20. Liao X.X. Absolute Stability of Nonlinear Control Systems (1993), Kluwer Academic Publisher