【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。更多还原

【Abstract】 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.更多还原