A New Parameter Range for the Stability of Opposite-Sign Cellular Neural Networks

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 40, Issue 3, 1993, Pages 204-207

  Joy, Mark P ^a   Tavsanoglu, Vedat ^a  

^a LONDON SOUTH BANK UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CELLULAR ARRAYS; CHAOS THEORY; DYNAMICS; MATRIX ALGEBRA; STABILITY CRITERIA;

CELLULAR NEURAL NETWORKS; DYNAMICAL SYSTEMS; OPPOSITE SIGN; PARAMETER RANGE; TEMPLATE VALUES;

NEURAL NETWORKS;

EID: 0027562210     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.222801     Document Type: Article

References (9)

1. J. K. Aggarwal, Notes on NonLinear Systems. New York: Van Nostrand Rienhold, 1973.
2. V. I. Arnold, Ordinary Differential Equations. Cambridge, MA.: M.I.T. Press, 1981.
3. L. 0. Chua and T. Roska, “Stability of a class of nonreciprocal cellular neural networks, IEEE Trans. Circuits Syst., vol. 37, pp. 1520–1527, Dec. 1990.
4. L. O. Chua and L. Yang, “Cellular neural networks: Theory IEEE Trans. Circuits Syst., vol. 35, pp. 1257–1272, Oct. 1988.
5. M. W. Hirsch and S. Smale, Differential Equations, Dynamical Systems, and Linear Algebra. San Diego: Academic Press, 1974.
6. M. P. Joy, “Complete stability of a three cell CNN submitted for publication.
7. T. Matsumoto, L. O. Chua, and H. Suzuki, “CNN cloning template: Connected component detector IEEE Trans. Circuits Syst., vol. 37, pp. 633–635, May 1990.
8. J. Smillie, “Competitive and cooperative tridiagonal systems of differential equations SIAM J. Mathematical Analysis, vol. 15, pp. 530–534, May 1984.
9. F. Zou and J. A. Nossek, “Stability of cellular neural networks with opposite-sign templates IEEE Trans. Circuits Syst., vol. 38, pp. 675–677, June 1991.