一类具有时变和分布时滞的神经网络系统的时滞相依全局稳定性分析  

A Delay-Dependent Global Stability Analysis of Neural Networks With Time-Varying and Distributed Delays

作　　者：毛凯 孙校书 杨树杰 刘丹 宋玮玮[2] MAO Kai;SUN Xiaoshu;YANG Shujie;LIU Dan;SONG Weiwei(Naval Aeronautical University, Yantai Shandong 264001, China;Wenjing College, Yantai University, Yantai Shandong 264000, China)

机构地区：[1]海军航空大学,山东烟台264001 [2]烟台大学文经学院,山东烟台264000

出　　处：《海军航空工程学院学报》2019年第3期328-336,共9页Journal of Naval Aeronautical and Astronautical University

基　　金：国家自然科学基金资助项目(11802338)

摘　　要：通过构造一个新的增广Lyapunov-Krasovskii泛函,对时变时滞函数的下界和定常分布时滞同时使用时滞分割,获得了一类同时具有时变时滞和分布时滞的神经网络系统以LMI形式表达的时滞相依全局渐近稳定条件,并通过数值实例表明本文方法的有效性和稳定条件更低的保守性。In this paper, together with an improved augmented Lyapunov-Krasovskii functional and delay partitioning, which was applied to both the lower bound of time-varying and the constant distributed delays, a novel delay-dependent sufficient condition was obtained for guaranteeing a class of neural networks with and time-varying and distributed delays to be global asymptotically stable, which was in form of LMIs. Examples were given to illustrate that the results in this pa. per is more efficiently and less conservative than some existing ones.

关 键 词：分布时滞 时滞分割 时滞相依 全局渐近稳定 

分 类 号：O175.13[理学—数学]