This paper addresses the consensus tracking control of multi-agent systems (MASs) with transfer restricted switching topologies. The transfer switching between topologies is described by a novel switching digraph. Under the switching digraph, multiple time-varying Lyapunov functions (MTVLFs) allowed to increase are constructed to characterize the energy change of error system. A cycle stabilization approach is proposed to achieve the consensus tracking of MASs even if all communication topologies do not contain a directed spanning tree rooted at the leader node. Finally, three examples are provided to validate the effectiveness of the results.