Considering the limitation of machine and technology, we study the stability for nonlinear impulsive control system with some uncertainty factors, such as the bounded gain error and the parameter uncertainty. A new sufficient condition for this system is established based on the generalized Cauchy–Schwarz inequality in this paper. Compared with some existing results, the proposed method is more practically applicable. The effectiveness of the proposed method is shown by a numerical example.

中文翻译：

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具有不确定因素的非线性脉冲控制系统的稳定性分析

考虑到机器和技术的局限性，我们研究了具有一定不确定性因素（如有界增益误差和参数不确定性）的非线性脉冲控制系统的稳定性。本文基于广义柯西-舒瓦兹不等式，为该系统建立了新的充分条件。与现有的一些结果相比，该方法更加实用。数值算例表明了该方法的有效性。