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Dynamical behaviors of the stochastic Hopfield neural networks with mixed time delays - MaRDI portal

Dynamical behaviors of the stochastic Hopfield neural networks with mixed time delays (Q369908)

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scientific article; zbMATH DE number 6209276
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Dynamical behaviors of the stochastic Hopfield neural networks with mixed time delays
scientific article; zbMATH DE number 6209276

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    Dynamical behaviors of the stochastic Hopfield neural networks with mixed time delays (English)
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    19 September 2013
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    Summary: 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.
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