Abstract This paper focuses on the cluster synchronization problem in the prescribed-time of a class of uncertain complex dynamical networks with switching signal which is characterized by average dwell-time constraint. Different from traditional complex dynamical networks, uncertainties, switching signals and nonlinear coupled properties have been introduced to the networks. By applying switched system theory and matrix decomposition method, conditions have been established to ensure that such complex dynamical networks can achieve the desired performance in finite time which is given in advance. Additionally, the methods and results about prescribed-time stable issue of switched systems can be employed to other more general systems. Finally, one numerical example is presented to show the effectiveness of the theoretical results.

中文翻译：

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基于pinning控制切换的不确定复杂动力网络的指定时间簇同步

摘要 研究一类具有平均驻留时间约束特征的开关信号不确定复杂动力网络在规定时间内的集群同步问题。与传统的复杂动态网络不同，网络中引入了不确定性、开关信号和非线性耦合特性。通过应用切换系统理论和矩阵分解方法，建立了条件，以确保这种复杂的动态网络能够在预先给定的有限时间内达到所需的性能。此外，关于切换系统的规定时间稳定问题的方法和结果可以应用于其他更一般的系统。最后，给出了一个数值例子来说明理论结果的有效性。