Skip to main content
Have a personal or library account? Click to login
Existence and exponential stability of a periodic solution for fuzzy cellular neural networks with time-varying delays Cover

Existence and exponential stability of a periodic solution for fuzzy cellular neural networks with time-varying delays

International Journal of Applied Mathematics and Computer Science
Volume 21 (2011): Issue 4 (December 2011)
By: ,   and    
Open Access
|Dec 2011
References

References

  1. Arik, S. and Tavsanoglu, V. (2005). Global asymptotic stability analysis of bidirectional associative memory neural networks with constant time delays,: 161-176.
    Open DOISearch in Google Scholar
  2. Cao, J. (2003). Global asympotic stability of delayed bi-directional associative memory neural networks,(2): 333-339.
    Open DOISearch in Google Scholar
  3. Cao, J. and Dong, M. (2003). Exponential stability of delayed bi-directional associative memory neural networks,(1): 105-112.
    Open DOISearch in Google Scholar
  4. Cao, J. and Wang, L. (2002). Exponential stability and periodic oscilatory solution in BAM networks with delays,(2): 457-463.
    Open DOISearch in Google Scholar
  5. Chen, A., Cao, J. and Huang, L. (2004). Exponential stability of BAM neural networks with transmission delays,: 435-454.
    Open DOISearch in Google Scholar
  6. Gaines, R. E. and Mawhin, J. L. (1990)., Springer-Verlag, Berlin/New York, NY.
    Search in Google Scholar
  7. Gopalsmy, K. and He, X. Z. (1994). Delay-independent stability in bi-directional associative memory networks,(6.): 998-1002.
    Search in Google Scholar
  8. Huang, T. (2006). Exponential stability of fuzzy cellular neural networks with distributed delay,(1): 48-52.
    Open DOISearch in Google Scholar
  9. Kosto, B. (1987). Adaptive bi-directional associative memories,(23): 4947-4960.
    Open DOISearch in Google Scholar
  10. Kosto, B. (1988). Bi-directional associative memories,(1): 49-60.
    Open DOISearch in Google Scholar
  11. Liao, X. F. and Yu, J. B. (1998). Qualitative analysis of bi-directional associative memory with time delay,(3): 219-229.
    Open DOISearch in Google Scholar
  12. Liu, B. W. and Huang, L. H. (2006). Existence and exponential stability of periodic solutions for cellular neural networks with time-varying delays,(6): 474-483.
    Open DOISearch in Google Scholar
  13. Liu, Y. Q. and Tang, W. S. (2004). Exponential stability of fuzzy cellular neural networks with costant and time-varying delays,(3): 224-233.
    Open DOISearch in Google Scholar
  14. Liu, Y. Q. and Tang, W. S. (2006). Existence and exponential stability of periodic solution for bam neural networks with periodic coefficients and delays,(16): 2152-2160.
    Open DOISearch in Google Scholar
  15. Liu, Z., Chen, A. and Huang, L. (2003). Existence and global exponential stability of periodic solution to self-connection BAM neural networks with delays,(2): 127-143.
    Open DOISearch in Google Scholar
  16. Liu, Z., Zhang, H. and Wang, Z. (2009). Novel stability criterions of a new fuzzy cellular neural networks with time-varying delays,(4): 1056-1064.
    Open DOISearch in Google Scholar
  17. Niu, S., Jiang, H. and Teng, Z. (2008). Exponential stability and periodic solutions of FCNNs with variable coefficients and time-varying delays,(13): 2929-2936.
    Open DOISearch in Google Scholar
  18. Raja, R., Sakthivel, R., Anthoni, S. M. and Kim, H. (2011). Stability of impulsive Hopfield neural networks with Markovian switching and time-varying delays,(1): 127-135, DOI: 10.2478/v10006-011-0009-y.
    Open DOISearch in Google Scholar
  19. Tian, A., Gai, M., Shi, B. and Zhang, Q. (2010). Existence and exponential stability of periodic solution for a class of Cohen-Grossberg-type BAM neural networks,(16): 3147-3159.
    Open DOISearch in Google Scholar
  20. Wang, Z., Zhang, H. and Yu, W. (2007). Robust exponential stability analysis of neural networks with multiple time delays,(13): 2534-2543.
    Open DOISearch in Google Scholar
  21. Yang, T. and Yang, L. B. (1996). The global stability of fuzzy cellular neural networks,(10): 880-883.
    Open DOISearch in Google Scholar
  22. Yang, T., Yang, L. B., Wu, C. W. and Chua, L. O. (1996). Fuzzy cellular neural networks: Theory,, Seville, Spain, pp. 181-186.
    Search in Google Scholar
  23. Yuan, K., Cao, J. and Deng, J. (2006). Exponential stability and periodic solutions of fuzzy cellular neural networks with time-varying delays,(13): 1619-1627.
    Open DOISearch in Google Scholar
  24. Zhang, Q. and Luo, W. (2009). Global exponential stability of fuzzy BAM neural networks with time-varying delays,(4): 2239-2245.
    Open DOISearch in Google Scholar
  25. Zhang, Q. and Xiang, R. (2008). Global asymptotic stability of fuzzy cellular neural networks with time-varying delays,(22): 3971-3978.
    Open DOISearch in Google Scholar
  26. Zhao, H. (2002). Global exponential stability of bidirectional associative memory neural networks with distributed delays,(3): 182-190.
    Open DOISearch in Google Scholar
  27. Zhao, H. (2006). Exponential stability and periodic oscillatory of bidirectional associative memory neural networks involving delays,(4): 424-448.
    Open DOISearch in Google Scholar
DOI: https://doi.org/10.2478/v10006-011-0051-9 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Journal RSS Feed
Language: English
Page range: 649 - 658
Published on: Dec 21, 2011
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Keywords:
fuzzy cellular neural networks,
global exponential stability,
periodic solution,
coincidence degree
Related subjects:
Mathematics,
Applied mathematics

© 2011 Qianhong Zhang, Lihui Yang, Daixi Liao, published by University of Zielona Góra
This work is licensed under the Creative Commons License.

Volume 21 (2011): Issue 4 (December 2011)
Previous article
Next article