Finite-time consensus tracking control for multi-agent systems with nonlinear dynamics under Euler digraph and switching topology

In this paper, the finite-time consensus tracking control for multi-agent systems under Euler digraph and switching topology are discussed. The new nonlinear distributed control protocol is proposed under which the systems can reach finite-time consensus tracking. Furthermore, the leader needs to connect with only one follower and which agent is connected will have no effect on finite-time consensus under Euler digraph. It is found that adding edges or increasing feedback gains will be an effective way to reduce the settling time. Two sufficient conditions are proposed to achieve finite-time consensus tracking for multi-agent systems under Euler digraph and switching topology. Finally, numerical simulations are presented to verify the effectiveness of obtained theoretical results.