This paper investigates the aperiodically intermittent synchronization for a class of
directed complex networks with switching network topologies. The assumption that
all of the switching topologies contain a directed spanning tree is removed which is
necessary in the previous related literature. That is, only some switching topologies
contain a directed spanning tree when zero-in-degree nodes are pinned. By using
M-matrix theory and constructing multiple Lyapunov functions, some sufficient
conditions are derived to achieve the aperiodically intermittent synchronization of
switching complex networks. Finally, some numerical simulations are given to
demonstrate the theoretical results.

• Aperiodically intermittent synchronization for switching complex networks dependent on topology structure Jie Gao1,2*† and Jinde Cao3,4†