Stability and stabilization of linear impulsive systems with large impulse-delays: A stabilizing delay perspective
Stability and stabilization of linear impulsive systems with large impulse-delays: A stabilizing delay perspective
复制标题
具有大脉冲延迟的线性脉冲系统的稳定性和稳定性：稳定延迟的观点？
DOI：
10.1016/j.automatica.2021.109533
复制
发表时间：
2021
期刊：
影响因子：
6.4
通讯作者：
Wu-Hua Chen
中科院分区：
文献类型：
--
作者：
Shixian Luo;Feiqi Deng;Wu-Hua Chen
本文研究了具有大脉冲时滞的线性脉冲系统的稳定性与镇定问题。为了研究时滞在离散时间动力学中的镇定作用，利用切换脉冲系统方法建立了具有周期脉冲和常时滞的线性脉冲系统的非保守稳定性判据.随后，利用拟周期李雅普诺夫函数方法，给出了具有非周期脉冲和时变时滞的脉冲系统稳定性的充分条件。利用稳定性条件的特殊结构，进一步讨论了利用人工脉冲时滞的脉冲镇定问题。这些结果适用于采样数据系统的输入延迟。与已知的输入延迟方法相比，所提出的切换脉冲系统方法不仅提供了简单的稳定性条件，而且还捕获了延迟的稳定效果。两个数值例子说明了所提出的理论结果。
This paper deals with the stability and stabilization of linear impulsive systems with large impulse-delays. To explore the stabilizing effect of the time delay in the discrete-time dynamics, a switched impulsive system approach is developed to establish non-conservative stability criteria for linear impulsive systems with periodic impulses and constant delay. Subsequently, sufficient conditions are given for stability of the impulsive systems with aperiodic impulses and time-varying delay by quasi-periodic Lyapunov function methods. By exploiting the particular structure of the stability conditions, impulsive stabilization problem using artificial impulse-delay is further discussed. These results are applied to sampled-data systems with input delay. Compared with the well-known input-delay approach, the proposed switched impulsive system approach not only provides simple stability conditions but also captures the stabilizing effect of the delay. Two numerical examples illustrate the proposed theoretical results.