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Stability analysis of Hopfield neural networks with time delay

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Abstract

The global asymptotic stability for Hopfield neural networks with time delay was investigated. A theorem and two corollaries were obtained, in which the boundedness and differentiability of fj on R in some articles were deleted. Some sufficient conditions for the existence of global asymptotic stable equilibrium of the networks in this paper are better than the sufficient conditions in quoted articles.

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Communicated by LI Ji-bin

Foundation item: the Natural Science Foundation of China (19831030)

Biographies: WANG Lin-shan (1956 −) XU Dao-yi (1948 −)

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Lin-shan, W., Dao-yi, X. Stability analysis of Hopfield neural networks with time delay. Appl Math Mech 23, 65–70 (2002). https://doi.org/10.1007/BF02437731

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  • DOI: https://doi.org/10.1007/BF02437731

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