This paper studies the input-to-state stabilization problem of nonlinear time-delay systems. A novel event-triggered hybrid controller is proposed, where feedback controller and distributed-delayed impulsive controller are taken into account. By using the Lyapunov-Krasovskii method, sufficient conditions for input-to-state stability are constructed under the designed event-triggered hybrid controller, the relation among control parameters, threshold parameter of the event-triggered mechanism and time delay in the impulsive signals is derived. Compared with the existing results, the obtained input-to-state stability criteria are applicable to time-delay systems with stabilizing delay-dependent impulsive effects and destabilizing ones. Numerical examples are provided to demonstrate the effectiveness of the theoretical results.

本文研究了非线性时滞系统的输入状态稳定问题。提出了一种新颖的事件触发混合控制器，其中考虑了反馈控制器和分布式时滞脉冲控制器。通过使用Lyapunov-Krasovskii方法，在设计的事件触发混合控制器下构造了足够的输入至状态稳定性条件，控制参数，事件触发机制的阈值参数和脉冲信号的时间延迟之间的关系为衍生的。与现有结果相比，所获得的输入至状态稳定性标准适用于具有稳定的时变相关脉冲效应和不稳定的时滞系统。数值例子说明了理论结果的有效性。