This paper discusses the cluster synchronization problem for a class of complex dynamical networks with coupling time delays. Under the randomly occurring coupling time delays condition, a novel complex network model is established to express the dynamical behavior of the nodes more precisely. An improved event-triggered mechanism is proposed for two purpose containing the reduction of network burden and improvement of cluster synchronization efficiency. The pinning control strategy is adopted for cluster synchronization via controlling a small fraction of the network nodes. By employing Lyapunov–Krasovskii functional method, a stability criterion is obtained to ensure the achievement of cluster synchronization and a event-triggered pinning controller is constructed. Finally, a simulation example is expressed to verify the effectiveness of our main results.

本文讨论了一类具有耦合时滞的复杂动态网络的集群同步问题。在随机发生的耦合时延条件下，建立了一个新颖的复杂网络模型，以更精确地表达节点的动力学行为。提出了一种改进的事件触发机制，其目的包括减轻网络负担和提高集群同步效率。通过控制一小部分网络节点，采用固定控制策略进行群集同步。通过使用Lyapunov–Krasovskii泛函方法，获得了一个稳定准则来确保实现集群同步，并构造了一个事件触发的固定控制器。最后，