分数阶非线性时滞脉冲微分系统的全局Mittag-Leffler稳定性

Abstract

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.

Key words: Fractional-order nonlinear differential system, Time delay, Global Mittag-Leffler stability, Impulse, Lyapunov method

CLC Number:

O175.15

Jian Liu,Zhixin Zhang,Wei Jiang. Global Mittag-Leffler Stability of Fractional Order Nonlinear Impulsive Differential Systems with Time Delay[J].Acta mathematica scientia,Series A, 2020, 40(4): 1053-1060.

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

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