分数阶非线性时滞脉冲微分系统的全局Mittag-Leffler稳定性  

Global Mittag-Leffler Stability of Fractional Order Nonlinear Impulsive Differential Systems with Time Delay

作　　者：刘健 张志信[1] 蒋威[1] Liu Jian;Zhang Zhixin;Jiang Wei(School of Mathematical Sciences,Anhui University,Hefei 230601)

机构地区：[1]安徽大学数学科学学院,合肥230601

出　　处：《数学物理学报（A辑）》2020年第4期1053-1060,共8页Acta Mathematica Scientia

基　　金：国家自然科学基金(11371027,11471015,11601003);安徽省自然科学基金(1608085MA12,2008085QA19)。

摘　　要：该文主要研究了含有脉冲和时滞因素的分数阶非线性微分系统的全局Mittag-Leffler稳定性.利用分数阶Lyapunov方法和Mittag-Leffler函数性质,给出了含有脉冲时滞分数阶非线性微分系统全局Mittag-Leffler稳定性的充分条件,然后用具体的例子证明了所得结果的有效性.In this paper,the global Mittag-Leffler stability of fractional-order nonlinear differential systems with impulsive and time-delay factors is studied.By using the fractional Lyapunov method and Mittag-Leffler function,sufficient conditions for global Mittag-Leffler stability of fractional-order nonlinear differential systems with impulsive time-delay are given.Finally,an example is given to demonstrate the effectiveness of the results.

关 键 词：分数阶非线性微分系统 时滞 全局Mittag-Leffler稳定性 脉冲 LYAPUNOV方法 

分 类 号：O175.15[理学—数学]