Existence and stability of almost periodic solutions for a class of generalized Hopfield neural networks with time-varying neutral delays (Q2919933)

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scientific article; zbMATH DE number 6097705
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Existence and stability of almost periodic solutions for a class of generalized Hopfield neural networks with time-varying neutral delays
scientific article; zbMATH DE number 6097705

    Statements

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    22 October 2012
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    Hopfield neural networks
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    time-varying neutral delays
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    almost periodic solutions
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    exponential stability
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    fixed point theorem
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    Existence and stability of almost periodic solutions for a class of generalized Hopfield neural networks with time-varying neutral delays (English)
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    A class of Hopfield neural networks with time-varying neutral delays is studied. The author obtains sufficient conditions for the existence of almost periodic solutions of such nets. Then, global exponential stability is proved by means of a fixed point theorem and differential inequality techniques. One example is provided to illustrate the obtained theoretical results.
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