Fully distributed prescribed-time consensus control of multiagent systems under fixed and switching topologies

In this paper, the fully distributed prescribed-time control methods for the consensus problem of networked multiagent systems are studied for the first time, considering both fixed and switching topologies. Unlike existing results of prescribed-time consensus, the proposed approaches eliminate the need for global topology information, while achieving the consensus in a prescribed time that is irrelevant to the initial conditions. First, for the leaderless consensus problem, the prescribed-time adaptive control protocols under fixed and switching topologies are proposed to achieve consensus, respectively. Then, we extend our investigation to the leader-following consensus and the prescribed-time adaptive control protocols under fixed and switching topologies are respectively devised to ensure that the followers' states reach an agreement with the leader's states being the consensus values. Theoretical analysis proves the prescribed-time convergence of control errors and the boundedness of the control inputs. Finally, simulation examples are provided to illustrate the effectiveness of the proposed fully distributed control approaches.