Global asymptotic stability of a larger class of neural networks with constant time delay

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

Volumn 311, Issue 6, 2003, Pages 504-511

  Arik, Sabri ^a  

^a ISTANBUL UNIVERSITY   (Turkey)

Author keywords

Delayed neural networks; Equilibrium analysis; Global asymptotic stability; Lyapunov Krasovskii functional

Indexed keywords

LYAPUNOV FUNCTIONS; NEURAL NETWORKS; TIME DELAY; TIMING CIRCUITS;

CONSTANT TIME DELAYS; DELAYED NEURAL NETWORKS; EQUILIBRIUM ANALYSIS; EQUILIBRIUM POINT; GLOBAL ASYMPTOTIC STABILITY; LYAPUNOV-KRASOVSKII FUNCTIONALS;

ASYMPTOTIC STABILITY;

ARTICLE; ASSOCIATIVE MEMORY; MATHEMATICAL ANALYSIS; MODEL; NERVE CELL NETWORK; NONLINEAR SYSTEM; TIME;

EID: 0242608076     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(03)00569-3     Document Type: Article

References (29)

1. T. Roska, C.W. Wu, L.O. Chua, IEEE Trans. Circuits Systems I 40 (1993) 270.
2. T. Roska, C.W. Wu, M. Balsi, L.O. Chua, IEEE Trans. Circuits Systems I 39 (1992) 487.
3. H. Ye, A.N. Michel, K. Wang, Phys. Rev. E 51 (1995) 2611.
4. M. Gilli, P.P. Civalleri, L. Pandolfi, IEEE Trans. Circuits Systems I 40 (1993) 157.
5. S. Arik, V. Tavsanoglu, IEEE Trans. Circuits Systems I 45 (1998) 168.
6. J.D. Cao, Phys. Rev. E 60 (1999) 3244.
7. S. Arik, IEEE Trans. Circuits Systems I 47 (2000) 1089.
8. S. Arik, V. Tavsanoglu, IEEE Trans. Circuits Systems I 47 (2000) 571.
9. T.-L. Liao, F.-C. Wang, IEEE Trans. Neural Networks 11 (2000) 1481.
10. N. Takahashi, IEEE Trans. Circuits Systems I 47 (2000) 793.
11. X.F. Liao, K.W. Wong, J. Yu, Int. J. Bifur. Chaos 11 (2001) 1853.
12. Z. Yi, P.A. Heng, K.S. Leung, IEEE Trans. Circuits Systems I 48 (2001) 680.
13. J.Y. Zhang, Y.R. Yang, Int. J. Circuit Theor. Appl. 29 (2001) 185.
14. H. Lu, Phys. Rev. E 64 (2001).
15. J. Cao, IEEE Trans. Circuits Systems I 48 (2001) 1330.
16. H. Ye, A.N. Michel, IEEE Trans. Circuits Systems I 43 (1996) 532.
17. S. Arik, IEEE Trans. Neural Networks, 2002.
18. K. Gopalsamy, X. He, Physica D 76 (1994) 344.
19. Y.J. Cao, Q.H. Wu, IEEE Trans. Neural Networks 7 (1996) 1533.
20. Y. Zhang, Int. J. Systems Sci. 27 (1996) 227.
21. J.D. Cao, L. Wang, IEEE Trans. Neural Networks 13 (2002) 457.
22. Z. Yi, P.A. Heng, P. Vadakkepat, IEEE Trans. Circuits Systems 149 (2002) 256.
23. J. Zhang, Int. J. Circuit Theor. Appl. 30 (2002) 395.
24. H. Huang, J. Cao, J. Wang, Phys. Lett. A 298 (2002) 393.
25. C. Sun, K. Zhang, S. Fei, C.B. Fong, Phys. Lett. A 298 (2002) 122.
26. X.F. Liao, J.B. Yu, IEEE Trans. Neural Networks 9 (1998) 1042.
27. X.F. Liao, K.W. Wong, Z. Wu, G. Chen, IEEE Trans. Circuits Systems 148 (2001) 1355.
28. X. Liao, G. Chen, E.N. Sanchez, IEEE Trans. Circuits Systems 149 (2002) 1033.
29. H.K. Khalil, Nonlinear Systems, Mcmillan, New York, 1988.