非线性脉冲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 Nonlinear Impulsive Systems
摘要: 基于李雅普诺夫理论，给出了在固定驻留时间条件下非线性脉冲系统有限时间输入到状态稳定(FTISS)的一个充分条件。在连续动力学部分和脉冲动力学部分均考虑了外部输入的情况下，对于不稳定的脉冲作用，给出了系统有限时间输入到状态稳定脉冲频率、系统结构和外部扰动之间的关系。并通过实例说明了该理论的正确性。
Abstract: Based on Lyapunov theory, a sufficient condition for finite-time input-to-state stability (FTISS) of nonlinear impulsive systems with fixed dwell time is given. In the case that the external input is considered in both the continuous dynamics part and the pulse dynamics part, the relationship between the finite-time input-to-state stability pulse frequency, the system structure and the ex-ternal disturbance is given for the unstable pulse action. A numerical example is provided to demonstrate the correctness of the theoretical results.
文章引用：吴迪, 胡洪晓. 非线性脉冲系统有限时间输入到状态稳定性研究[J]. 应用数学进展, 2023, 12(2): 469-480. https://doi.org/10.12677/AAM.2023.122050

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