Cluster synchronisation of nonlinear singular complex networks with multi-links and time delays
Yaping Xia, Yuanting Wu, Wenyong Duan · International Journal of Systems Science · 2022
This paper investigates the cluster synchronisation problem of singular nonlinear networks with multi-links and time delays. A two-layer nonlinearly coupled multiplex model composed of many pairs of multi-link leader–follower subnets is introduced, which can more accurately reveal the structure between leader–follower layers. Based on Lyapunov stability theory, some stability criteria for cluster synchronisation are proposed by adaptive pinning control. Finally, numerical examples are employed to illustrate the effectiveness of the proposed methods.