中文摘要：

文章研究脉冲量和微分系统均为非线性形式的脉冲系统的渐近稳定性。该文通过建立脉冲系统的比较系统并分析其稳定性的方法，针对具有有限范数的非线性微分系统，给出了该类系统在具有有限范数的非线性脉冲作用下渐近稳定的充分条件，并通过数值模拟验证了所述方法的有效性。

英文摘要：

This paper studies the asymptotic stability of the impulsive control system in which the impulsive increments and differential system are in nonlinear form. For the nonlinear differential system with limited norm, by establishing the comparison system of impulsive control system, the asymptotic stability sufficient conditions of the impulsive control system are developed under the control of non- linear impulsive increments. The effectiveness of the described methods is verified by numerical simulation.