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2012 Fixed Point and Asymptotic Analysis of Cellular Neural Networks
Xianghong Lai, Yutian Zhang
J. Appl. Math. 2012: 1-12 (2012). DOI: 10.1155/2012/689845


We firstly employ the fixed point theory to study the stability of cellular neural networks without delays and with time-varying delays. Some novel and concise sufficient conditions are given to ensure the existence and uniqueness of solution and the asymptotic stability of trivial equilibrium at the same time. Moreover, these conditions are easily checked and do not require the differentiability of delays.


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Xianghong Lai. Yutian Zhang. "Fixed Point and Asymptotic Analysis of Cellular Neural Networks." J. Appl. Math. 2012 1 - 12, 2012.


Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1323.47058
MathSciNet: MR2965701
Digital Object Identifier: 10.1155/2012/689845

Rights: Copyright © 2012 Hindawi

Vol.2012 • 2012
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