Volume 9 Number 4 (Apr. 2014)
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JCP 2014 Vol.9(4): 891-895 ISSN: 1796-203X
doi: 10.4304/jcp.9.4.891-895

Stability of Equilibrium Points in Cellular Neural Networks with Negative Slope Activation Function

Qi Han, Qian Xiong, Chao Liu, Jun Peng, Lepeng Song, and Sijing Liu
School of Electrical and Information Engineering, Chongqing University of Science and Technology, Chongqing, China

Abstract—In the paper, the region of the number of equilibrium points of every cell in cellular neural networks with negative slope activation function is considered by the relationship between parameters of cellular neural networks. Some sufficient conditions are obtained by using the relationship among connection weights. Three theorems and a corollary are gotten by our new methods. Depending on these sufficient conditions, inputs and outputs of a CNN, the regions of the values of parameters can be obtained. Some numerical simulations are presented to support the effectiveness of the theoretical analysis.

Index Terms—Cellular neural network; Equilibrium point; negative slope activation function

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Cite: Qi Han, Qian Xiong, Chao Liu, Jun Peng, Lepeng Song, and Sijing Liu, "Stability of Equilibrium Points in Cellular Neural Networks with Negative Slope Activation Function," Journal of Computers vol. 9, no. 4, pp. 891-895, 2014.

General Information

ISSN: 1796-203X
Abbreviated Title: J.Comput.
Frequency: Bimonthly
Editor-in-Chief: Prof. Liansheng Tan
Executive Editor: Ms. Nina Lee
Abstracting/ Indexing: DBLP, EBSCO,  ProQuest, INSPEC, ULRICH's Periodicals Directory, WorldCat,etc
E-mail: jcp@iap.org
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