This paper studies the dwell-time-dependent stability analysis of impulsive systems by using a new time-square-dependent looped-functional. Based on the Lyapunov theory and two-sided looped-functional method, a time-square-dependent looped-functional is proposed, which fully utilizes the information of both the intervals and . Then, by applying Jensen’s inequality and free-matrix-based inequalities to deal with integral terms in the functional derivatives, sufficient stability conditions in the form of linear matrix inequality are derived for periodic and aperiodic impulsive systems. Finally, numerical examples and simulation tests are given to illustrate the effectiveness and superiority of the proposed method.

中文翻译：

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用于脉冲系统驻留时间相关稳定性分析的改进循环函数方法

本文利用一种新的时间平方相关环泛函研究了脉冲系统的驻留时间相关稳定性分析。基于Lyapunov理论和双边环泛函方法，提出了一种时间平方相关的环泛函，它充分利用了区间 和 的信息。然后，通过应用Jensen不等式和基于自由矩阵的不等式来处理函数导数中的积分项，推导出周期性和非周期性脉冲系统的线性矩阵不等式形式的充分稳定性条件。最后通过数值算例和仿真测试说明了该方法的有效性和优越性。