Asymptotic Stability of Impulsive Cellular Neural Networks with Infinite Delays via Fixed Point Theory

Yutian Zhang and Yuanhong Guan

Abstract and Applied Analysis, 2013, vol. 2013, 1-10

Abstract:

We employ the new method of fixed point theory to study the stability of a class of impulsive cellular neural networks with infinite delays. Some novel and concise sufficient conditions are presented ensuring the existence and uniqueness of solution and the asymptotic stability of trivial equilibrium at the same time. These conditions are easily checked and do not require the boundedness and differentiability of delays.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:427827

DOI: 10.1155/2013/427827

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