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Fixed Point and Asymptotic Analysis of Cellular Neural Networks

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  • Xianghong Lai
  • Yutian Zhang

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.

Suggested Citation

  • Xianghong Lai & Yutian Zhang, 2012. "Fixed Point and Asymptotic Analysis of Cellular Neural Networks," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-12, August.
    • Handle: RePEc:hin:jnljam:689845
    DOI: 10.1155/2012/689845
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    Cited by:

    1. Mohammad Akram & Mohammad Dilshad & Aysha Khan & Sumit Chandok & Izhar Ahmad, 2023. "Convergence Analysis for Generalized Yosida Inclusion Problem with Applications," Mathematics, MDPI, vol. 11(6), pages 1-19, March.

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