脉冲切换系统有限时间输入到状态稳定性研究
Study on Finite-Time Input-to-State Stability of Impulsive Switched Systems
摘要: 我们将有限时间输入到状态稳定性(FTISS)的分析扩展到脉冲切换系统。给出了基于李雅普诺夫理论和固定驻留时间条件下的有限时间输入到状态稳定性的充分条件。本文的结果还包括脉冲频率、系统结构和外部输入的关系，以保证脉冲切换系统的有限时间输入到状态稳定性。在有限时间框架下，研究表明，满足有限时间输入到状态稳定性的系统的运动轨迹将在有限时间内进入最终界限，此后不会超过这一界限。并通过实例说明了该理论的正确性。
Abstract: We extend the analysis of finite-time input-to-state stability to impulsive switched systems. Based on Lyapunov theory and fixed residence time, a sufficient condition for the stability of finite-time input-to-state is given. The results of this paper also include the relationship between pulse fre-quency, system structure and external input to ensure the finite-time input-to-state stability of pulse switched systems. In the finite-time frame, it is shown that the trajectory of the system with finite-time input-to-state stability will enter the final limit in a finite time, and will not exceed the limit thereafter. The correctness of the theory is illustrated by an example.
文章引用：吴迪. 脉冲切换系统有限时间输入到状态稳定性研究[J]. 理论数学, 2023, 13(4): 1007-1017. https://doi.org/10.12677/PM.2023.134106

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