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Periodic Solution for Impulsive Cellar Neural Networks with Time‐Varying Delays in the Leakage Terms

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  • Bingwen Liu
  • Shuhua Gong

Abstract

This paper is concerned with impulsive cellular neural networks with time‐varying delays in leakage terms. Without assuming bounded and monotone conditions on activation functions, we establish sufficient conditions on existence and exponential stability of periodic solutions by using Lyapunov functional method and differential inequality techniques. Our results are complement to some recent ones.

Suggested Citation

  • Bingwen Liu & Shuhua Gong, 2013. "Periodic Solution for Impulsive Cellar Neural Networks with Time‐Varying Delays in the Leakage Terms," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:701087
    DOI: 10.1155/2013/701087
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    References listed on IDEAS

    as
    1. Hong Zhang & Mingquan Yang, 2013. "Global Exponential Stability of Almost Periodic Solutions for SICNNs with Continuously Distributed Leakage Delays," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-14, March.
    2. Zhibin Chen & Junxia Meng, 2012. "Exponential Convergence for Cellular Neural Networks with Time‐Varying Delays in the Leakage Terms," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    3. Zhibin Chen & Junxia Meng, 2012. "Exponential Convergence for Cellular Neural Networks with Time-Varying Delays in the Leakage Terms," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-11, November.
    4. Hong Zhang & Mingquan Yang, 2013. "Global Exponential Stability of Almost Periodic Solutions for SICNNs with Continuously Distributed Leakage Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    Full references (including those not matched with items on IDEAS)

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