Pre‐specified time synchronization of impulsive complex networks via distributed event‐triggered transmission strategies
Xudong Hai, Yongguang Yu, Guojian Ren, Conghui Xu, Jiawei Wu · Asian Journal of Control · 2020
Abstract In this paper, a class of complex networks with impulsive perturbations is studied. And the problem about pre‐specified time synchronization of networks is considered, in which the settling time is independent of any initial conditions and system parameters. Namely, the settling time can be assigned in advance according to task requirements. Due to that quasi‐synchronous control methods are widely used in practical engineering, the problem about pre‐specified time quasi‐synchronization is also investigated. Based on the linear matrix inequality technique and Lyapunov methods, some sufficient criteria are derived, ensuring pre‐specified time synchronization and pre‐specified time quasi‐synchronization of the controlled systems under the designed event‐triggered transmission strategies. And Zeno behaviors are excluded. Finally, two numerical examples are given to verify the correctness of the main results.