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Zbl 1238.34145
Wan, Li; Zhou, Qinghua; Wang, Pei; Li, Jizi
Ultimate boundedness and an attractor for stochastic Hopfield neural networks with time-varying delays. (English)
[J] Nonlinear Anal., Real World Appl. 13, No. 2, 953-958 (2012). ISSN 1468-1218

Summary: We investigates ultimate boundedness and a weak attractor for stochastic Hopfield neural networks (HNN) with time-varying delays. By employing the Lyapunov method and the matrix technique, some novel results and criteria on ultimate boundedness and an attractor for stochastic HNN with time-varying delays are derived. Finally, a numerical example is given to illustrate the correctness and effectiveness of our theoretical results.

MSC 2000:: *34K50 Stochastic delay equations
34K12 Properties of solutions of functional-differential equations
34D45 Attractors

Keywords: Hopfield neural networks; delays; ultimate boundedness; weak attractor

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