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

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  • Yutian Zhang
  • Yuanhong Guan

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.

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  • Yutian Zhang & Yuanhong Guan, 2013. "Asymptotic Stability of Impulsive Cellular Neural Networks with Infinite Delays via Fixed Point Theory," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-10, March.
    • Handle: RePEc:hin:jnlaaa:427827
    DOI: 10.1155/2013/427827
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