Pinning synchronization of directed networks with disconnected switching topology via averaging method

This paper mainly focuses on pinning synchronization of directed networks under disconnected switching topology. Firstly, by introducing the uniformly directed spanning tree on average (UDSTA) for a time-varying digraph and designing a switching pinning controller, the asymptotic synchronization of complex networks with large number of switching topologies is investigated, in which strong connectivity and structural balance for switching topology are no longer required. Furthermore, a class of almost-period (AP) switching mode is introduced. By means of matrix decomposition, the pinning synchronization criteria of complex networks under AP switching topology are derived and the pinning nodes are selected according to maximal strongly connected rootsubgraphs (MSCRSs) of average topology. Finally, a type of coupled neural networks with numerical simulations is introduced to illustrate the theoretical results.(c) 2023 Elsevier Ltd. All rights reserved.

Automated summary

This paper mainly focuses on the pinning synchronization problem of directed networks under disconnected switching topology. The authors introduce the concept of uniformly directed spanning tree on average (UDSTA) and design a switching pinning controller to investigate the asymptotic synchronization of complex networks with a large number of switching topologies. They also propose a class of almost-period (AP) switching modes and derive the pinning synchronization criteria for complex networks under AP switching topology. Finally, numerical simulations of coupled neural networks are conducted to illustrate the theoretical results. (c) 2023 Elsevier Ltd. All rights reserved.