本文研究在存在执行延迟的情况下,通过事件触发牵制脉冲控制实现复杂网络稳定的策略。与现有假设脉冲可瞬时执行的事件触发脉冲控制方案不同,所提框架显式建模了事件检测与脉冲执行之间的时间延迟。通过构造合适的Lyapunov函数并分析延迟区间内的网络动力学,推导出保证渐近稳定的显式延迟依赖型充分条件。所得条件刻画了网络拓扑结构、执行延迟、脉冲控制增益及触发参数之间的耦合关系。此外,建立了事件间隔时间的严格正下界,从而排除Zeno行为并确保方案的实际可实现性。本文还基于网络Laplacian矩阵的谱条件,提出一种面向拓扑结构的被牵制节点选取准则。最后,通过耦合Chua电路网络的数值仿真验证了设计流程及所提方法的有效性。
This paper investigates the stabilization of complex networks via event-triggered pinning impulsive control in the presence of actuation delays. Unlike existing event-triggered impulsive control schemes that assume instantaneous implementation, the proposed framework explicitly accounts for the delay between event detection and impulse execution. By constructing suitable Lyapunov functions and analyzing the network dynamics during the delay intervals, explicit delay-dependent sufficient conditions are derived to guarantee asymptotic stability. The obtained conditions characterize the interplay among network topology, actuation delays, impulsive control gains, and triggering parameters. In addition, a strictly positive lower bound on inter-event times is established, which excludes Zeno behavior and ensures practical implementability. A topology-based criterion for selecting pinned nodes is also developed through a spectral condition on the network Laplacian. Numerical simulations on a network of coupled Chua circuits illustrate the design procedure and verify the effectiveness of the proposed method.