Existence and global exponential stability of periodic solution for delayed high-order Hopfield-type neural networks

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

Volumn 352, Issue 4-5, 2006, Pages 341-349

  Xiang, Hong ^a   Yan, Ke Ming ^a   Wang, Bai Yan ^a  

^a LANZHOU UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Coincidence degree theory; Global stability; High order Hopfield type neural networks

Indexed keywords

LYAPUNOV FUNCTIONS;

A-PRIORI ESTIMATES; COINCIDENCE DEGREE THEORY; GLOBAL EXPONENTIAL STABILITY; GLOBAL STABILITY; HIGH-ORDER; HOPFIELD TYPE NEURAL NETWORKS; LYAPUNOV FUNCTIONALS; PERIODIC SOLUTION;

HOPFIELD NEURAL NETWORKS;

EID: 33644969138     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2005.12.014     Document Type: Article

References (13)

1. B. Xu, X. Liu, and X. Liao Comput. Math. Appl. 45 2003 457
2. A. Dembo, O. Farotimi, and T. Kailath IEEE Trans. Circuits Systems 38 1991 57
3. E.B. Kosmatopoulos, and M.A. Christodoulou IEEE Trans. Circuits Systems II 42 1995 592
4. E.B. Kosmatopoulos, M.M. Polycarpou, M.A. Christodoulou, and P.A. Ioannou IEEE Trans. Neural Networks 6 1995 422
5. T. Zhang, S.S. Ge, and C.C. Hang Int. J. Systems Sci. 28 1997 1011
6. J. Su, A.Q. Hu, and Z.Y. He Electron. Lett. 33 1997 506
7. J. Su, A. Hu, and Z. He Neurocomputing 18 1998 1
8. M. Brucoli, L. Carnimeo, and G. Grassi IEEE Trans. Circuits Systems I 44 1997 153
9. Z. Liu, and L. Liao J. Math. Anal. Appl. 290 2004 247
10. J. Zhou, Z. Liu, and G. Chen Neural Networks 17 1 2004 87
11. Z. Liu, A. Chen, J. Cao, and L. Huang IEEE Trans. Circuits Systems I 50 2003 1162
12. Y. Li Phys. Lett. A 333 2004 51
13. R.E. Gaines, and J.L. Mawhin Coincidence Degree and Nonlinear Differential Equations 1977 Springer Berlin