Abstract In this paper, we prove the existence, stability and controllability results for fractional damped differential system with non-instantaneous impulses. The results are obtained by using Banach fixed-point theorem, nonlinear functional analysis, Mittag-Leffler matrix function and controllability Grammian matrix. At last, some numerical examples are given to illustrate the obtained theory.

中文翻译：

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带非瞬时脉冲的分数阻尼微分系统的稳定性和可控性分析

摘要 本文证明了具有非瞬时脉冲的分数阻尼微分系统的存在性、稳定性和可控性结果。结果是利用Banach不动点定理、非线性泛函分析、Mittag-Leffler矩阵函数和可控格拉姆矩阵得到的。最后给出了一些数值例子来说明所得到的理论。