Dynamical Behaviors of the Stochastic Hopfield Neural Networks with Mixed Time Delays

Li Wan, Qinghua Zhou, Zhigang Zhou and Pei Wang

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

Abstract:

This paper investigates dynamical behaviors of the stochastic Hopfield neural networks with mixed time delays. The mixed time delays under consideration comprise both the discrete time-varying delays and the distributed time-delays. By employing the theory of stochastic functional differential equations and linear matrix inequality (LMI) approach, some novel criteria on asymptotic stability, ultimate boundedness, and weak attractor are derived. Finally, a numerical example is given to illustrate the correctness and effectiveness of our theoretical results.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:384981

DOI: 10.1155/2013/384981

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