具有扰动的脉冲系统的渐近稳定性  

Asymptotic stability of a perturbed impulsive system

作　　者：倪郁东[1] 韩姣杰 NI Yudong;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）》2022年第10期1428-1434,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：文章研究在范数有界因素扰动下脉冲系统的渐近稳定性。在脉冲系统受到扰动后,根据比较系统法,考虑扰动项的控制量,以Lyapunov函数为媒介,建立能够判断扰动后脉冲系统渐近稳定的比较系统和比较原理,分析比较系统的渐近稳定性,再根据比较原理得到扰动后脉冲系统渐近稳定的充分条件。The asymptotic stability of impulsive systems under norm-bounded factors is studied. After the impulsive system is perturbed, according to the comparison system method, the control amount of the perturbation term is considered, and a Lyapunov function is used as the medium to establish the comparison system and comparison principle that can judge the asymptotic stability of the impulsive system after perturbation. The asymptotic stability of the comparison system is analyzed, and the sufficient conditions for the asymptotic stability of the impulsive system after perturbation are obtained according to the comparison principle.

关 键 词：扰动 脉冲 比较系统 比较原理 渐近稳定性 

分 类 号：O231.2[理学—运筹学与控制论]