Pinning Control of Multi-agent Systems with Periodical Switching Topology

Abstract

This paper focuses on the pinning synchornisation problem of complex networks with periodical switching topology. We show that without assuming each possible topology contains a spanning tree, the system can achieve synchornisation if the combination of them can form a complete graph that has a spanning tree. The condition of synchonisation behaviour is analysed by constructing a Lyapunov function and averaging theory. Also, a practical application of an unmanned aerial vehicle system is provided for validation. Finally, the impacts of switching patterns of topology on the switching interval threshold are analysed via numerical simulations.