New results concerning exponential stability and periodic solutions of delayed cellular neural networks

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

Volumn 307, Issue 2-3, 2003, Pages 136-147

  Cao, Jinde ^a  

^a SOUTHEAST UNIVERSITY   (China)

Author keywords

Cellular neural networks; Global exponential stability; Lyapunov functional; Periodic solution; Young inequality

Indexed keywords

LYAPUNOV FUNCTIONS;

CELLULAR NEURAL NETWORKS WITH DELAYS; DELAYED CELLULAR NEURAL NETWORKS; GLOBAL EXPONENTIAL STABILITY; LYAPUNOV FUNCTIONALS; NEW RESULTS; PERIODIC SOLUTION; YOUNG INEQUALITY;

CELLULAR NEURAL NETWORKS;

ARTICLE; ARTIFICIAL NEURAL NETWORK; CALCULATION; DYNAMICS; MATHEMATICS; TECHNIQUE; THEORY;

EID: 0037467691     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(02)01720-6     Document Type: Article

References (38)

1. L.O. Chua, L. Yang, IEEE Trans. Circuits Systems 35 (10) (1988) 1257.
2. L.O. Chua, L. Yang, IEEE Trans. Circuits Systems 35 (10) (1988) 1273.
3. T Roska, L.O. Chua, Int. J. Circuit Theory Appl. 20 (1992) 469.
4. T. Roska, C.W. Wu, L.O. Chua, IEEE Trans. Circuits Systems Part I 40 (4) (1993) 270.
5. T. Roska, C.W. Wu, M. Balsi, L.O. Chua, IEEE Trans. Circuits Systems Part I 39 (6) (1992) 487.
6. M. Gilli, IEEE Trans. Circuits Systems Part I 41 (1994) 518.
7. J. Cao, D. Zhou, Neural Networks 11 (9) (1998) 1601.
8. S. Arik, V. Tavsanoglu, IEEE Trans. Circuits Systems Part I 45 (2) (1998) 168.
9. J. Cao, Phys. Rev. E 59 (5) (1999) 5940.
10. K. Mastsuoka, Neural Networks 5 (1992) 495.
11. P.P. Civalleri, M. Gilli, IEEE Trans. Circuits Systems 40 (3) (1993) 157.
12. X.X. Liao, Sci. China Ser. A 24 (10) (1994) 1037 (in Chinese).
13. J.-D. Cao, Int. J. Systems Sci. 31 (10) (2000) 1313.
14. J. Cao, Stability in cellular neural networks with delays, in: Proceedings of 14th IFAC'99 World Congress, Vol. E, Elsevier, Amsterdam, 1999, pp. 71-74.
15. J. Cao, Phys. Rev. E 60 (3) (1999) 3244.
16. J. Cao, J. Comput. Systems Sci. 60 (1) (2000) 38.
17. J. Cao, Int. J. Systems Sci. 32 (2) (2001) 233.
18. J. Cao, Phys. Lett. A 261 (5-6) (1999) 303.
19. J. Cao, Global stability in delayed cellular neural networks, in: Neural Networks for Signal Processing IX, Proceedings of the 1999 IEEE Workshop, Madison, WI, USA, August 1999, pp. 95-102.
20. J. Cao, On Stability of neural networks with transmission delays, in: IEEE Hong Kong Symposium on Robotics and Control, Hong Kong, Vol. II, IEEE, 1999, pp. 665-669.
21. J. Cao, L. Wang, IEEE Trans. Neural Networks 13 (2) (2002) 457.
22. J. Cao, Phys. Lett. A 267 (6-7) (2000) 312.
23. J. Cao, Phys. Lett. A 270 (3-4) (2000) 157.
24. J. Cao, Q. Li, J. Math. Anal. Appl. 252 (1) (2000) 50.
25. S. Arik, V. Tavsanoglu, IEEE Trans. Circuits Systems Part I 47 (4) (2000) 571.
26. J. Cao, IEEE Trans. Circuits Systems Part I 48 (4) (2001) 494.
27. Y. Fang, T.K. Kincaid, IEEE Trans. Neural Networks 7 (1995) 996.
28. A.N. Michel, J.A. Farrel, W. Poprod, IEEE Trans. Circuits Systems 36 (1989) 229.
29. H. Lu, Neural Networks 13 (2000) 1135.
30. K. Gopalsamy, X.Z. He, IEEE Trans. Neural Networks 5 (6) (1994) 998.
31. B. Kosko, Appl. Opt. 26 (23) (1987) 4947.
32. M. Joy, Neural Networks 13 (2000) 613.
33. X. Liang, L. Wu, IEEE Trans. Circuits Systems 45 (5) (1998) 584.
34. J. Cao, IEEE Trans. Circuits Systems Part I 48 (11) (2001) 1330.
35. J. Cao, Q. Tao, J. Comput. Systems Sci. 62 (3) (2001) 528.
36. J. Cao, Q. Tao, J. Comput. Systems Sci. 60 (1) (2000) 179.
37. P.V.D. Driessche, X. Zou, SIAM J. Appl. Math. 58 (6) (1998) 1878.
38. H. Huang, J. Cao, J. Wang, Phys. Lett. A 298 (2002) 393.