【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.更多还原

【Abstract】 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.更多还原