一类含混合时滞非自治神经网络的指数稳定性  

The Exponential Stability of a Class of Non-autonomous Neural Networks with Mixed Delays

作　　者：徐至晨 陈爱珍[1] 周宗福[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《佳木斯大学学报（自然科学版）》2015年第1期137-139,共3页Journal of Jiamusi University：Natural Science Edition

基　　金：安徽省自然科学基金(1208085MA13);安徽大学大学生科研训练计划项目

摘　　要：考虑一类含有混合时滞的非自治神经网络系统,通过构造合适的Lyapunov-Krasovskii泛函及应用Razunmikhin方法,分析该系统的零解指数稳定性.在文献[4]所研究的系统中引入了新的控制函数,使得所研究的系统更为一般,所得指数稳定性结果应用范围更广.A class of non-autonomous neural networks with mixed delays was studied in this paper .By constructing an appropriate Lyapunov -Krasovskii functional and using Razumikhin technique , the exponential stability of the zero solution of the system was analyzed .A new control function was introduced into the system in [4], which makes the system more general, and the results of exponential stability given in this paper are more applicable .

关 键 词：指数渐近稳定 Razumihkin定理 黎卡提方程 

分 类 号：O175.14[理学—数学]