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Global Asymptotic Stability ,global Attractivity and Global Exponential Stability for Delayed Hopfield Neural Network Models

Author: LiangWeiZuo
Tutor: PuZhiLin
School: Sichuan Normal University
Course: Basic mathematics
Keywords: Hopfield Neural Networks Delay Dini derivative Global asymptotic stability Global attractivity Global Exponential stability
CLC: O175.2
Type: Master's thesis
Year: 2010
Downloads: 23
Quote: 0
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Abstract


In this paper,we obtain the global asymptotic stability,the global attractivity and the global exponential stability for delayed Hopfield neural net-work models with the Lipschitzian continuous nonlinear active functions.Some sufficient conditions are developed by constructing suitable Lyaponuv function use the Dini derivative and the generalized Halanay delayed differential inequal-ity,the inequality mabm-1≤am+(m-1)bm,(a,b>0,m≥1).These results generalize ones in reference.

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Partial Differential Equations
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