Some new results for recurrent neural networks with varying-time coefficients and delays

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 338, Issue 6, 2005, Pages 446-460

  Jiang, Haijun ^a   Teng, Zhidong ^a  

^a XINJIANG UNIVERSITY   (China)

Author keywords

Boundedness; Global exponential stability; Lyapunov functional; Periodic solution; Recurrent neural networks; Varying time coefficient; Varying time delay; Young inequality

Indexed keywords

LYAPUNOV FUNCTIONS; STABILITY CRITERIA;

BOUNDEDNESS; GLOBAL EXPONENTIAL STABILITY; LYAPUNOV FUNCTIONALS; PERIODIC SOLUTION; VARYING TIME DELAY; VARYING-TIME COEFFICIENT; YOUNG INEQUALITY;

RECURRENT NEURAL NETWORKS;

ARTICLE; ARTIFICIAL NEURAL NETWORK; MATHEMATICAL COMPUTING; PARAMETER; TIME;

EID: 17144397962     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2005.02.034     Document Type: Article

References (32)

1. T. Chen, and S. Amari Neural Networks 14 2001 251
2. K. Gopalsamy, and X. He Physica D 76 1994 344
3. P.V.D. Driessche, and X. Zhu SIAM J. Appl. Math. 58 1998 1878
4. J. Cao Phys. Rev. E 60 3 1999 3244
5. J. Cao, and D. Zhou Neural Networks 11 1998 1601
6. J. Cao Phys. Lett. A 267 2000 312
7. J. Cao J. Comput. System Sci. 60 2000 38
8. N. Takahashi IEEE Trans. Circuits Systems I 47 6 2000 791
9. D. Xu, H. Zhao, and H. Zhu Comput. Math. Appl. 42 2001 39
10. S. Arik IEEE Trans. Circuits Systems I 47 2000 1089
11. A. Chen, J. Cao, and L. Huang IEEE Trans. Circuits Systems I 49 7 2000 1028
12. T. Chu Phys. Lett. A 283 2001 113
13. H. Lu Phys. Rev. E 64 2001 051901
14. B. Kosko Appl. Opt. 26 1987 4947
15. S. Mohamad Physica D 159 2001 233
16. J. Cao, and L. Wang IEEE Trans. Neural Networks 13 2002 457
17. D. Zhou, and J. Cao Appl. Math. Comput. 131 2002 487
18. J. Peng, H. Qiao, and Z. Xu Neural Networks 15 2002 95
19. H. Lu Neural Networks 13 2000 1135
20. H. Huang, J. Cao, and J. Wang Phys. Lett. A 298 2002 393
21. H. Huang, and J. Cao Appl. Math. Comput. 142 2003 143
22. J. Cao Phys. Lett. A 307 2003 136
23. M. Dong Phys. Lett. A 300 2002 49
24. D. Xu, H. Zhao, and H. Zhu Comput. Math. Appl. 42 2001 39
25. H. Zhao Phys. Lett. A 297 2002 182
26. H. Jiang, Z. Li, and Z. Teng Phys. Lett. A 306 2003 313
27. M. Rehim, H. Jiang, and Z. Teng Neural Networks 17 2004 1017
28. Q. Dong, K. Matsui, and X. Huang Nonlinear Anal. 49 2002 471
29. A. Chen, L. Huang, and J. Cao Appl. Math. Comput. 137 2003 177
30. A. Chen, and J. Cao Appl. Math. Comput. 134 2003 125
31. T.A. Burton Stability and Periodic Solutions of Ordinary and Functional Differential Equations 1985 Academic Press New York
32. Y.P. Cheng Matrix Thoery 2002 Northwestern Polytechnical Univ. Press in Chinese