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Dynamical Behaviors of Stochastic Hopfield Neural Networks with Both Time-Varying and Continuously Distributed Delays

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  • Qinghua Zhou
  • Penglin Zhang
  • Li Wan

Abstract

This paper investigates dynamical behaviors of stochastic Hopfield neural networks with both time-varying and continuously distributed delays. By employing the Lyapunov functional theory and linear matrix inequality, some novel criteria on asymptotic stability, ultimate boundedness, and weak attractor are derived. Finally, an example is given to illustrate the correctness and effectiveness of our theoretical results.

Suggested Citation

  • Qinghua Zhou & Penglin Zhang & Li Wan, 2013. "Dynamical Behaviors of Stochastic Hopfield Neural Networks with Both Time-Varying and Continuously Distributed Delays," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, April.
    • Handle: RePEc:hin:jnlaaa:631734
    DOI: 10.1155/2013/631734
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