Finite time internal and external synchronisation control for multi-layer complex networks with multiple time-varying delays via rapid response intermittent control
Chengjun Xie, Ying Zhang, Qiang Wei · International Journal of Control · 2025
This paper is devoted to the finite time internal and the external synchronization (hybrid synchronization) for duplex complex networks with multiple time-varying delays by means of rapid response intermittent control, the multiple time-varying delays include time-varying delay of node and time-varying coupling strength which impact the system to require a longer time to converge to a synchronized state, so this article utilizes rapid response the intermittent control method to drive the duplex complex networks to achieve synchronization in finite time. The hybrid control controller is designed to eliminate the influence of the time-varying delay of node, time-varying coupling strength and uncertain parameters of the network. Finally, numerical examples are presented to illustrate the validness of theoretical results.