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具有反应扩散与变时滞的随机连续Cohen-Grossberg神经网络的p阶矩指数稳定性 被引量:5

Exponential p-Stability of Stochastic Reaction-Diffusion Cohen-Grossberg Neural Networks with Time-Varying Delays
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摘要 讨论了一类具有变时滞反应扩散随机Cohen-Grossberg神经网络模型,利用Lyapunov函数与微分不等式,得到了该模型平衡解的存在唯一性与p阶矩指数稳定性的充分条件,推广了前人发表的相关结果. A class of stochastic reaction-diffusion Cohen-Grossberg neural networks with time-varying delays are investigated in this paper.Sufficient conditions to guarantee the uniqueness and global exponential p-stability of equilibrium solutions of such networks are established by using suitable Lyapunov function and differential inequality.The results of the study improve earlier publications.
出处 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2012年第9期20-27,共8页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金资助项目(11071254)
关键词 随机Cohen-Grossberg神经网络 反应扩散 指数稳定性 平衡解 Stochastic Cohen-Grossberg neural network reaction-diffusion exponential stability equilibrium solution
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