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- W2046196635 abstract "Abstract A mathematical model of a single isolated artificial neuron with hysterisis is formulated by means of a neutral delay differential equation. The asymptotic and exponential stability of such a model are investigated. Sufficient conditions for the exponential stability of a linear integral difference inequality are obtained. In the absence of hysterisis effect, our model reduces to a known model of a single neuron. Usually asymptotic stability of neutral delay differential equations is studied by means of degenerate Lyapunov–Kravsovskii functionals. In this article, perhaps for the first time exponential stability of a class of neutral differential equations are studied by means of the exponential stability of an affiliated difference inequality. While generalization to Hopfield type hysteretic neural networks is possible, such a generalization is not considered in this article." @default.
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- W2046196635 date "2007-02-01" @default.
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- W2046196635 title "Dynamics of a hysteretic neuron model" @default.
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- W2046196635 doi "https://doi.org/10.1016/j.nonrwa.2005.11.010" @default.
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