Global exponential stability of Cohen-Grossberg neural networks with variable delays

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

Volumn 338, Issue 1, 2005, Pages 44-50

  Zhang, Jiye ^a   Suda, Yoshihiro ^b   Komine, Hisanao ^b  

^a SOUTHWEST JIAOTONG UNIVERSITY   (China)

^b INSTITUTE OF INDUSTRIAL SCIENCE   (Japan)

Author keywords

Cohen Grossberg neural networks; Global asymptotical stability; Global exponential stability; M matrix; Neural network; Time delay

Indexed keywords

LYAPUNOV FUNCTIONS; TIME DELAY;

ACTIVATION FUNCTIONS; COHEN-GROSSBERG NEURAL NETWORKS; EQUILIBRIUM POINT; GLOBAL ASYMPTOTICAL STABILITY; GLOBAL EXPONENTIAL STABILITY; LIAPUNOV FUNCTION; M-MATRICES; VARIABLE DELAYS;

NEURAL NETWORKS;

ARTICLE; ARTIFICIAL NEURAL NETWORK; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; TIME;

EID: 15744372086     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2005.02.005     Document Type: Article

References (22)

1. M.A. Cohen, and S. Grossberg IEEE Trans. Systems Man Cybernet. 13 1983 815
2. J.J. Hopfield, and D.W. Tank Proc. Natl. Acad. Sci. USA 81 1984 3088
3. M.P. Kennedy, and L.O. Chua IEEE Trans. Circuits Systems 35 1988 554
4. M. Morita Neural Networks 6 1993 115
5. A.N. Michel, J.A. Farrell, and W. Porod IEEE Trans. Circuits Systems 36 2 1989 229
6. M. Forti, and A. Tesi IEEE Trans. Circuits Systems I 42 7 1995 354
7. C.M. Marcus, and R.M. Westervelt Phys. Rev. A 39 1989 347
8. K. Gopalsamy, and X. He Physica D 76 1994 344
9. S. Arik, and V. Tavsanoglu IEEE Trans. Circuits Systems I 47 4 2000 571
10. S. Arik IEEE Trans. Circuits Systems I 47 7 2000 1089
11. P. Van Den Driessche, and X. Zou SIAM J. Appl. Math. 58 6 1998 1878
12. J. Zhang, and X. Jin Neural Networks 13 7 2000 745
13. J. Zhang Comput. Math. Appl. 45 2003 1707
14. J. Zhang IEEE Trans. Circuits Systems I 50 2 2003 288
15. J. Zhang Int. J. Circuit Theory Appl. 30 2002 395
16. T. Chen Neural Networks 14 2001 977
17. H. Ye, A. Michel, and K. Wang Phys. Rev. E 51 1995 2611
18. L. Wang, and X. Zou Neural Networks 15 2002 415
19. T. Chen, and L. Rong Phys. Lett. A 317 2003 436
20. C.C. Hwang, C.J. Cheng, and T.L. Liao Phys. Lett. A 319 2003 157
21. T. Chen, and L. Rong IEEE Trans. Neural Networks 15 2004 203
22. D.D. Siljak Large-Scale Dynamic Systems - Stability and Structure 1978 Elsevier New York