Fixed Point and Asymptotic Analysis of Cellular Neural Networks

Xianghong Lai and Yutian Zhang

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: 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.

Date: 2012
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https://doi.org/10.1155/2012/689845

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:689845

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