On the exponential stability and periodic solutions of delayed cellular neural networks

Journal of Mathematical Analysis and Applications

Volumn 252, Issue 1, 2000, Pages 50-64

  Cao, Jinde ^a   Li, Qiong ^a  

^a SOUTHEAST UNIVERSITY   (China)

Author keywords

Delayed cellular neural networks; Global exponential stability; Inequality; Lyapunov functional; Parameter; Periodic solution

Indexed keywords

EID: 0034369985     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.6890     Document Type: Article

References (23)

1. Chua L. O., Yang L. Cellular neural networks: Theory. IEEE Trans. Circuits Systems. 35:1988;1257-1272.
2. Chua L. O., Yang L. Cellular neural networks: Applications. IEEE Trans. Circuits Systems. 35:1988;1273-1290.
3. Roska T., Chua L. O. Cellular neural networks with nonlinear and delay-type template. Internat. J. Circuit Theory Appl. 20:1992;469-481.
4. Cao Jinde. Periodic solutions and exponential stability in delayed cellular neural networks. Phys. Rev. E. 60:1999;3244-3248.
5. Cao Jinde. Global exponential stability and periodic solutions of delayed cellular neural networks. J. Comput. System Sci. 60:2000;38-46.
6. Cao Jinde. On stability of delayed cellular neural networks. Phys. Lett. A. 261:1999;303-308.
7. Roska T., Wu C. W., Chua L. O. Stability of cellular neural networks with dominant nonlinear and delay-type template. IEEE Trans. Circuits Systems I. 40:1993;270-272.
8. Roska T., Wu C. W., Balsi M., Chua L. O. Stability and dynamics of delay-type general and cellular neural networks. IEEE Trans. Circuits Systems I. 39:1992;487-490.
9. Gilli M. Stability of cellular neural networks and delayed cellular neural networks with nonposive templates and nonmonotonic output functions. IEEE Trans. Circuits Systems I. 41:1994;518-528.
10. Cao Jinde, Zhou Dongming. Stability analysis of delayed cellular neural networks. Neural Networks. 11:1998;1601-1605.
11. S. Arik and V. Tavsanoglu, Global stability analysis of CNNs with delay, in "IEEE Fourth International Workshop on CNNs and Their Applications, Seville, 1996," pp. 187-190.
12. Cao Jinde. Global stability analysis in delayed cellular neural networks. Phys. Rev. E. 59:1999;5940-5944.
13. Mastsuoka K. Stability conditions for nonlinear continuous neural networks with asymmetric connection weight. Neural Networks. 5:1992;495-500.
14. Civalleri P. P., Gilli M. On stability of cellular neural networks with delay. IEEE Trans. Circuits Systems. 40:1993;157-165.
15. Lu H. T., He Z. Y. Unconditioned stability of cellular neural networks with delay. Acta. Electron. Sinica. 25:1997;1-4.
16. Liao X. X. Mathematical theory (II) of cellular neural networks. Sci. China Ser. A. 24:1994;1037-1046.
17. Cao Jinde. Stability in cellular neural networks with delays. Proceedings of 14th IFAC'99 World Congress. 1999;Elsevier, Amsterdam/New York. p. 71-74.
18. Cao Jinde, Li Jibin. The stability in neural networks with interneuronal transmission delays. Appl. Math. Mech. 19:1998;457-462.
19. Cao Jinde, Lin Yiping. Stability of a class of neural network models with delays. Appl. Math. Mech. 20:1999;912-916.
20. Jinde Cao, Global stability in delayed cellular neural networks, in, Neural Networks for Signal Processing IX, Proceedings, 1999 IEEE Workshop, Madison, Wisconsin, 1999.
21. Cao Jinde. Global asymptotic stability analysis of delayed cellular neural networks. J. Electron. 22:2000;253-259.
22. Cao Jinde. On exponential stability and periodic solutions of CNNs with delays. Phys. Lett. A. 267:2000;312-318.
23. Cao Jinde. Periodic oscillation and exponential stability of delayed CNNs. Phys. Lett. A. 270:2000;157-163.