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Mittag-Leffler stability of fractional-order Hopfield neural networks (Q2344584)

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Mittag-Leffler stability of fractional-order Hopfield neural networks
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    Mittag-Leffler stability of fractional-order Hopfield neural networks (English)
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    15 May 2015
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    In this paper, fractional-order Hopfield neural networks are studied. The authors present Mittag-Leffler stability analysis of such problem by means of second method of Lyapunov. Sufficient conditions for such stability are obtained and applied for the fractional-order Hopfield neural networks. Moreover, synchronization of such networks is provided. Numerical simulations of two examples illustrate the theoretical results obtained in the paper under consideration.
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    Hopfield neural networks
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    Mittag-Leffler stability
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    Lyapunov method
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    fractional-order
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    synchronization
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