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.

本文研究具有大脉冲时滞的线性脉冲系统的稳定性和稳定性。为了探索离散时间动力学中时间延迟的稳定效果，开发了一种开关脉冲系统方法，为具有周期性脉冲和恒定延迟的线性脉冲系统建立了非保守的稳定性标准。随后，通过准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的稳定性的充分条件。通过利用稳定条件的特定结构，进一步讨论了使用人工脉冲延迟的脉冲稳定问题。这些结果将应用于具有输入延迟的采样数据系统。与众所周知的输入延迟方法相比，所提出的开关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。