一类Hopfield神经网络系统的全局渐近稳定性

Global Asymptotic Stability of Hopfield Neural Network System with Continuously Distributed Delays and Variable Coefficients

研究变系数具有连续分布时滞的 Hopfield神经网络系统 Ci(t) dxidt=- xi(t)Ri(t) +∑nj=1Wij(t) fj∫∞0kj(s) xj(t- s) ds + Ii(t)的全局惭近稳定性 。

A Hopfield neural networks with continuously distributed delays and variable coefficients C i(t) d x i d t =-x i(t)R i(t)+∑nj=1W ij (t)f j∫ ∞ 0k j(s)x j(t-s) d s+I i(t) is studied in this paper.A easily verifiable sufficient condition that guarantee the global attractivity of the Hopfield neural networks is obtained.