分数阶非线性变时滞脉冲微分系统的有限时间稳定性  

Finite-time Stability of Fractional-order Nonlinear Impulsive Differential System with Time-varying Delay

作　　者：吴桐 张志信[1] 蒋威[1] WU Tong;ZHANG Zhixin;JIANGWei(School of Mathematical Sciences,Anhui University,Hefei 230601,China)

机构地区：[1]安徽大学数学科学学院

出　　处：《安庆师范大学学报（自然科学版）》2020年第1期31-36,共6页Journal of Anqing Normal University(Natural Science Edition)

基　　金：国家自然科学基金（11371027,11471015,11601003）;安徽省自然科学基金（1608085MA12）;高等学校博士点专项科研资助基金（20123401120001）

摘　　要：论文研究了一类具有Caputo导数的分数阶非线性变时滞脉冲微分系统的有限时间稳定性问题,利用系统解的结构和广义的Gronwall不等式给出了具有时变时滞的分数阶非线性脉冲微分系统在有限时间区间上稳定的充分性条件,推广了现有结论,同时给出了具体的数值算例以验证定理条件的有效性。In this paper,the finite-time stability problem of a class of Caputo fractional-order nonlinear impulsive differential system with time-varying delay is studied.By using the structure of the solution for the system and the generalized Gronwall inequality,the sufficient conditions for the fractional-order nonlinear impulsive differential system with time-varying delay to be stable over a finite time interval are obtained,and the results extend the existing conclusions.Finally,a numerical example is given to verify the validity of the theorem conditions.

关 键 词：分数阶 有限时间稳定性 GRONWALL不等式 非线性 变时滞 

分 类 号：O175.15[理学—数学]