Pinning control of general multi-agent systems

This paper studies synchronization via pinning control on general multi-agent systems with strongly connected topologies. A criterion for reaching network synchronization on strongly connected networks is given. It is found that the vertices with very small in-degrees should be pinned first and the vertices with very large out-degrees may be pinned from the reformulated lower-order condition. Finally, a simulation example is given to verify the proposed pinning scheme.