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Robust Exponential Stability of Impulsive Stochastic Neural Networks with Leakage Time‐Varying Delay

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  • Chunge Lu
  • Linshan Wang

Abstract

This paper investigates mean‐square robust exponential stability of the equilibrium point of stochastic neural networks with leakage time‐varying delays and impulsive perturbations. By using Lyapunov functions and Razumikhin techniques, some easy‐to‐test criteria of the stability are derived. Two examples are provided to illustrate the efficiency of the results.

Suggested Citation

  • Chunge Lu & Linshan Wang, 2014. "Robust Exponential Stability of Impulsive Stochastic Neural Networks with Leakage Time‐Varying Delay," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:831027
    DOI: 10.1155/2014/831027
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    References listed on IDEAS

    as
    1. Xiao Liang & Linshan Wang, 2012. "Exponential Stability for a Class of Stochastic Reaction-Diffusion Hopfield Neural Networks with Delays," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-12, March.
    2. Xiao Liang & Linshan Wang, 2012. "Exponential Stability for a Class of Stochastic Reaction‐Diffusion Hopfield Neural Networks with Delays," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
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