具有比例时滞的高阶中立型CNNs的概周期解与稳定性  

Almost Periodic Solutions and Stability of High Order Neutral CNNs with Proportional Delays

作　　者：张吉萍 杨志春 ZHANG Jiping;YANG Zhichun(College of Mathematical Sciences,Chongqing Normal University,Chongqing 401331,China)

机构地区：[1]重庆师范大学数学科学学院,重庆401331

出　　处：《重庆师范大学学报（自然科学版）》2022年第4期80-86,共7页Journal of Chongqing Normal University:Natural Science

基　　金：国家自然科学基金(No.11971081);重庆市教育委员会科技研究重大项目(No.KJZD-M202000502);重庆市研究生科研创新项目(No.CYS20242)。

摘　　要：对一类含比例时滞和D算子的高阶中立型细胞神经网络的概周期解的存在性和广义指数稳定进行研究。【方法】通过构造概周期函数空间并利用压缩不动点原理,首先得到系统概周期解存在的充分条件。再利用分析技巧,给出系统概周期解的广义指数稳定的充分条件。【结果】在系统参数满足一定不等式条件下,系统的概周期解存在且是广义指数稳定的,所获结果与比例时滞无关。【结论】研究结果推进了现有文献中相关工作。[Purposes]It mainly investigates the existence and generalized exponential stability of almost periodic solutions for a class of high order neutral DCNNs with proportional delay and D operator.[Methods]Firstly,in order to obtain sufficient conditions for the existence of almost periodic system,the space of almost periodic function is constructed by contraction mapping principle.Furthermore,sufficient conditions for generalized exponential stability of almost periodic solutions of the system are given by using analytical techniques.[Findings]Under certain inequality conditions,the almost periodic solution of the system exists,and is generalized exponentially stable.The obtained results are independent on the proportional delay.[Conclusions]The conclusion improves the relevant work in the existing literature.

关 键 词：细胞神经网络 比例时滞 中立型 稳定性 概周期 

分 类 号：O221.6[理学—运筹学与控制论]