具有分布时滞的高阶Hopfield神经网络的全局稳定性判据(英文)  

On Global Stability Criterion of High-order Hopfield Neural Networks with Distributed Delays

作　　者：钱燕[1] 冯晓梅[1] 蒋海军[1] 

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830046

出　　处：《新疆大学学报（自然科学版）》2009年第1期53-59,共7页Journal of Xinjiang University(Natural Science Edition)

基　　金：Supported by The National Natural Science Foundation of P.R.China(10361004);The Major Project ofThe Ministry of Education and The Scientific Research Programmes of Colleges in Xinjiang(XJEDU2004I12,XJEDU2006I05)

摘　　要：通过使用Lyapunov泛函方法和LMI方法研究了具有连续分布时滞的高阶Hopfield神经网络(HHNNs)的全局渐近稳定性,得到了系统全局渐近稳定的充分条件.通过使用Matlab中的LMI工具箱验证了结果的有效性.In this paper, the global asymptotic stability is studied for a class of high-order Hopfield networks （HHNNs） with continuously distributed delays by employing Lyapunov functionals and linear,matrix inequality （LMI） technique. Some sufficient conditions are given to ensure the global asymptotic stability of the system. In addition, the proposed conditions are easily checked using the Matlab LMI control toolbox.

关 键 词：高阶Hopfield神经网络 全局渐近稳定 分布时滞 线性矩阵不等式 LYAPUNOV泛函 

分 类 号：O175.13[理学—数学]