一类具有时滞的非线性系统的指数稳定性  

Exponential Stability of a Class of Nonlinear Systems with Delays

作　　者：吕国栋 章春国[1] Lv Guodong;ZHANG Chunguo(School of Sciences,Hangzhou Dianzi University,Hangzhou Zhejiang 310018,China)

机构地区：[1]杭州电子科技大学理学院,浙江杭州310018

出　　处：《杭州电子科技大学学报（自然科学版）》2020年第2期92-96,共5页Journal of Hangzhou Dianzi University：Natural Sciences

基　　金：国家自然科学基金项目(61374096)。

摘　　要：研究一类具有时滞非线性阻尼系统的指数稳定性。首先,应用算子半群理论和Gronwall不等式证明了系统的适定性;然后,借助无时滞系统和Gronwall不等式证明了系统的指数稳定性;最后,通过实例验证所得结果的有效性。In this paper, the exponential stability of a class of nonlinear damped systems with time-delay is studied under suitable assumptions. Firstly, the operator semigroup theory and Gronwall inequality are applied to prove the well-posedness of the system;Secondly, the exponential stability of the system is proved by means of non-delay system and Gronwall inequality;Finally, two examples are given to illustrate the effectiveness of the results.

关 键 词：指数稳定性 非线性系统 时滞 C0-半群 

分 类 号：O231.4[理学—运筹学与控制论]