变时滞离散时间切换Hopfield神经网络的稳定性分析

摘要

This paper is concerned with the robust exponential stability problem for discrete-time switched Hopfield neural networks with time-varying delay and uncertainty.Firstly,the mathematical model of the system is established.Then by constructing a new Lyapunov-Krasovskii function and using discrete-time Jensen's inequality,linear matrix inequality (LMI),and average dwell time approach,a new delay-dependent criteria is developed,which guarantees the robust exponential stability of discrete-time switched Hopfield neural networks.A numerical example is provided to demonstrate the potential and effectiveness of the results obtained.%主要研究具有时变时滞和不确定项的离散时间切换霍普菲尔德神经网络的鲁棒指数稳定性问题.首先,给出具有时变时滞和不确定项的离散时间切换霍普菲尔德神经网络的数学模型.然后,基于一个新的李亚普诺夫-克拉索夫斯基泛函、离散时间的詹森不等式和线性矩阵不等式,应用平均驻留时间方法,导出一些新的时滞依赖的准则,从而保证离散时间切换霍普菲尔德神经网络的鲁棒指数的稳定性.并且通过一个数值例子验证了导出结果的有效性.