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Erschienen in: Neural Computing and Applications 1/2013

01.07.2013 | Original Article

Analysis on equilibrium points of cellular neural networks with thresholding activation function

verfasst von: Qi Han, Xiaofeng Liao, Tengfei Weng, Jun Peng, Chuandong Li, Liping Feng

Erschienen in: Neural Computing and Applications | Ausgabe 1/2013

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Abstract

In previous paper, the number of equilibrium points of a cellular neural network (CNN) was studied. However, the region of different values of equilibrium points of every cell in the CNN is not investigated. Therefore, in this paper, the regions of the number of different values of equilibrium points in cellular neural networks (CNNs) with thresholding activation function are obtained by the relationship between parameters of CNNs. The influence of the values of connection weights of CNNs on the number of equilibrium points for a cell is found. Some sufficient conditions are obtained by using the relationship among connection weights. Depending on these sufficient conditions, inputs and outputs of a CNN, the regions of the values of parameters can be obtained. Finally, some numerical simulations are presented to support the effectiveness of the theoretical analysis.

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Metadaten
Titel
Analysis on equilibrium points of cellular neural networks with thresholding activation function
verfasst von
Qi Han
Xiaofeng Liao
Tengfei Weng
Jun Peng
Chuandong Li
Liping Feng
Publikationsdatum
01.07.2013
Verlag
Springer-Verlag
Erschienen in
Neural Computing and Applications / Ausgabe 1/2013
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-012-1173-1

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