Mean square exponential stability of stochastic delayed Hopfield neural networks

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

Volumn 343, Issue 4, 2005, Pages 306-318

  Wan, Li ^a   Sun, Jianhua ^a  

^a NANJING UNIVERSITY   (China)

Author keywords

Discrete and continuously distributed delays; Mean square exponential stability; Stochastic Hopfield neural networks

Indexed keywords

STABILITY; STOCHASTIC SYSTEMS;

CONTINUOUSLY DISTRIBUTED DELAYS; DELAYED HOPFIELD NEURAL NETWORKS; EQUILIBRIUM SOLUTIONS; HOPFIELD NEURAL NETWORKS (HNN); INEQUALITY TECHNIQUES; MEAN SQUARE EXPONENTIAL STABILITY; STABILITY PROPERTIES; VARIATION PARAMETER;

HOPFIELD NEURAL NETWORKS;

ARTICLE; ARTIFICIAL NEURAL NETWORK; MATHEMATICAL ANALYSIS; MOLECULAR MODEL; MOLECULAR STABILITY; STOCHASTIC MODEL;

EID: 21744450109     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2005.06.024     Document Type: Article

References (34)

1. S. Arik IEEE Trans. Neural Networks 13 5 2002 1239
2. S. Arik IEEE Trans. Circuits Systems I 49 8 2002 1211
3. S. Arik IEEE Trans. Circuits Systems I 50 1 2003 156
4. L. Arnold Stochastic Differential Equations: Theory and Applications 1972 Wiley New York
5. S. Blythe, X. Mao, and X. Liao J. Franklin Inst. 338 2001 481
6. J. Buhmann, and K. Schulten Biol. Cybernet. 56 1987 313
7. J. Cao IEEE Trans. Circuits Systems I 48 11 2001 1330
8. J. Cao, and J. Wang IEEE Trans. Circuits Systems I 50 1 2003 34
9. J. Cao Phys. Lett. A 307 2003 136
10. T. Chen, and S. Amari IEEE Trans. Neural Networks 12 1 2001 159
11. T. Chen Neural Networks 14 3 2001 251
12. Y. Chen Neural Networks 15 2002 867
13. Leon O. Chua, and L. Yang IEEE Trans. Circuits Systems 35 10 1988 1273
14. Leon O. Chua, and L. Yang IEEE Trans. Circuits Systems 35 10 1988 1257
15. Leon O. Chua, and T. Roska IEEE Trans. Circuits Systems I 40 3 1993 147
16. Y. Le Cun, C.C. Galland, and G.E. Hinton GEMINI: gradient estimation through matrix inversion after noise injection D.S. Touretzky Advances in Neural Information Processing Systems, vol. I 1989 Morgan Kaufmann San Mateo 138 141
17. A. Friedman Stochastic Differential Equations and Applications 1976 Academic Press New York
18. K. Gopalsamy, and X. He Physica D 76 1994 344
19. S. Haykin Neural Networks 1994 Prentice-Hall Englewood Cliffs, NJ
20. J.J. Hopfield Proc. Natl. Acad. Sci. USA 79 1982 2254
21. J.J. Hopfield Proc. Natl. Acad. Sci. USA 81 1984 3088
22. J.J. Hopfield, and D.W. Tank Model Sci. 233 1986 3088
23. R.A. Horn, and C.R. Johnson Matrix Analysis 1985 Cambridge Univ. Press London
24. X. Liao Absolute Stability of Nonlinear Control Systems 1993 Kluwer Dordrecht
25. X. Liao, and X. Mao Stochast. Anal. Appl. 14 2 1996 165
26. X. Liao, and X. Mao Neural, Parallel Sci. Comput. 4 2 1996 205
27. W. Maass, and C.M. Bishop Pulsed Neural Networks 1999 MIT Press Cambridge, MA
28. X. Mao Stochastic Differential Equations and Applications 1997 Ellis Horwood
29. S. Mohamad, and K. Gopalsamy Math. Comput. Simul. 53 2000 1
30. A. Quezz, V. Protoposecu, and J. Barben IEEE Trans. Systems Man Cybernet. 18 1983 80
31. V. Sree Hari Rao, and Bh.R.M. Phaneendra Neural Networks 12 1999 445
32. Y. Zhang, A. Heng, and P. Vadakkepat IEEE Trans. Circuits Systems I 49 2 2002 256
33. J. Zhang, and X. Jin Neural Networks 13 2000 745
34. Q. Zhang, R. Ma, and J. Xu Commun. Theor. Phys. 39 2003 381