Second-Order Leader-Following Consensus of Fractional-Order Multi-Agent Systems

摘要

In this paper, the second-order leader-following consensus of fractional-order multi-agent systems (FOMASs) is considered. On the basis of the graph theory and fractional calculus, an effective distributed controller is designed for FOMASs to reach coordination. In addition, the fixed and undirected topology is also investigated. By applying Lyapunov stability theory, it is proved that the consensus can be reached as time goes to infinity. Finally, a simulation result is given to verify the effectiveness of the proposed control method.