Coordination Analysis of High-Order Multi-Agent Systems with Switching Topologies

In this paper, we study the coordination problems of a class of general continuous-time linear high-order multi-agent systems(MASs) with switching-directed topologies. By investigating the properties of the Lyapunov exponent of the normalized fundamental matrix of the system, we provide some sufficient conditions for the system to reach coordination. We give an equivalent description of the largest projection Lyapunov exponent by Hajnal diameter and projection spectral radius. The proposed approach can be used to investigate coordination problems of MASs proposed in other papers with switching topologies. The numerical simulations are provided to show the efficiency of our theoretical results.