Letters: Attractor and boundedness for stochastic Cohen-Grossberg neural networks with delays

  • Authors:
  • Li Wan;Qinghua Zhou

  • Affiliations:
  • School of Mathematics and Computer, Wuhan Textile University, Wuhan 430073, China;Department of Mathematics, Zhaoqing University, Zhaoqing 526061, China

  • Venue:
  • Neurocomputing
  • Year:
  • 2012

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Abstract

By employing Lyapunov method and Lasalle-type theorem, the attractor of stochastic Cohen-Grossberg neural networks (CGNN) with delays is initially investigated. Novel results and sufficient criteria on the attractor of stochastic CGNN are obtained. The almost surely asymptotic stability is a special case of our results. The boundedness of stochastic CGNN is also investigated. Finally, one example is presented to illustrate the correctness and effectiveness of our theoretical results.