This paper addresses the problem of stability in terms of two measures for impulsive switched nonlinear systems. By using multiple Lyapunov functions (MLFs), we establish some sufficient conditions of all kinds of stability in terms of two measures for impulsive switched nonlinear systems. Moreover, the derivatives of MLF in our results only satisfy the corresponding conditions in a circular region. Meanwhile, the proposed results also improve the related existing results on the same topic by removing some restrictive conditions. Finally, some illustrative examples are presented to verify the validity of our proposed methods.

中文翻译：

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脉冲切换非线性系统两种测度的稳定性分析

本文根据脉冲切换非线性系统的两种度量来解决稳定性问题。通过使用多个李雅普诺夫函数（MLF），我们根据脉冲切换非线性系统的两种测度建立了各种稳定性的充分条件。此外，我们结果中MLF的导数只满足圆形区域中的相应条件。同时，所提出的结果还通过去除一些限制条件改进了同一主题的相关现有结果。最后，给出了一些说明性的例子来验证我们提出的方法的有效性。