Buradasınız

Anasayfa » Content

NEW CRITERIA FOR THE EXISTENCE OF STABLE EQUILIBRIUM POINTS IN NONSYMMETRIC CELLULAR NEURAL NETWORKS

Journal Name:

  • Istanbul University Journal of Electrical & Electronics Engineering

Publication Year:

  • 2003
Author NameUniversity of Author
Abstract (2. Language): 
This paper presents new criteria for the existence of stable equilibrium points in the total saturation region for cellular neural networks (CNNs). It is shown that the results obtained can be used to derive some complete stability conditions for some special classes of CNNs such as positive cell-linking CNNs, opposite-sign CNNs and dominant-template CNNs. Our results are also compared with the previous results derived in the literature for the existence of stable equilibrium points for CNNs.
Bookmark/Search this post with
FULL TEXT (PDF): 
PDF icon arastirmax-new-criteria-existence-stable-equilibrium-points-nonsymmetric-cellular-neural-networks.pdf
  • 1
699-706
  • English

REFERENCES

References: 

[1] L. O. Chua and L. Yang, “Cellular neural networks :Theory”, IEEE Trans. Circuits Syst., vol. 35, pp. 1257--1272, October 1988.
[2] F. A. Savaci and J. Vandewalle, “On the stability of cellular neural networks”, IEEE Trans. Circuits Syst., vol. 40, pp. 213-- 215, March 1993.
[3] Mark P. Joy and V. Tavsanoglu, “A new parameter range for the stability of oppositesign cellular neural networks”, IEEE Trans. Circuits Syst., vol. 40, pp. 204207, March 1993.
[4] N. Takahashi and L. O. Chua, “On the complete stability of nonsymmetric cellular neural networks”', IEEE Trans. Circuits Syst., vol. 45, pp.754758, July 1998.
[5] L. O. Chua and T. Roska, ”Stability of a class of nonreciprocal cellular neural networks”, IEEE Trans. Circuits Syst., vol. 37, pp. 1520--1527, December 1990.
[6] S. Arik and V. Tavsanoglu, “Equilibrium analysis of nonsymmetric CNNs”, International Journal of Circuit Theory and Applications, vol. 24, pp. 269274, 1996.
[7] N. Takahashi and L. O. Chua, “A new sufficient condition for nonsymmetric CNNs to have a stable equilibrium point”, IEEE Trans. Circuits Syst., vol. 44, pp.10921095, November 1997.
[8] P. P. Civalleri and M. Gilli, “Practical Stability Criteria for Cellular Neural Networks”, Electronic Letters, vol. 33, pp. 970971, 1997.
[9] S. Arik and V. Tavsanoglu, “A sufficient condition for the existence of stable equilibrium point in nonsymmetric cellular neural networks”, in the Proc. 1998 IEEE International Workshop on Cellular Neural Networks and their Applications CNNA'98, pp.7477, April 1998, London.
[10] F. Zou and J. A. Nossek, “Bifurcation and chaos in cellular neural netweorks”, IEEE Trans. Circuits Syst., vol. 40, pp. 166--173, March 1993.

Thank you for copying data from http://www.arastirmax.com