非线性时滞脉冲系统的渐近稳定性  

Asymptotic stability of nonlinear delay impulsive systems with delayed impulses

作　　者：倪郁东[1] 宋阳琴 韩娇杰 NI Yudong;SONG Yangqin;HAN Jiaojie(School of Mathematics,Hefei University of Technology,Hefei 230601,China)

机构地区：[1]合肥工业大学数学学院,安徽合肥230601

出　　处：《合肥工业大学学报（自然科学版）》2021年第11期1578-1584,共7页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(71571076)。

摘　　要：文章研究带有固定时滞的非线性脉冲系统的渐近稳定性。针对线性和非线性时滞脉冲作用下具有有限范数的时滞微分系统,当无时滞项占优时,通过构造时滞脉冲系统的非齐次线性比较系统,分析该比较系统的稳定性,给出时滞脉冲系统渐近稳定的充分条件,并通过数值实例验证所得结果的有效性。This paper studies the asymptotic stability of impulsive differential systems with fixed delays.For delay differential systems with finite norms under linear and nonlinear impulses,when no delay term is dominant,the sufficient conditions for asymptotic stability of delay impulsive systems are given by constructing a non-homogeneous linear comparative system and analyzing the stability of the comparative system.The effectiveness of the obtained results is verified by numerical examples.

关 键 词：脉冲系统 时滞 比较系统 渐近稳定性 

分 类 号：O231.2[理学—运筹学与控制论]