Prescribed-time Event-triggered Consensus of Second-order Leader-following Multi-agent Systems

In this paper, we investigate the control of prescribed-time leader-following consensus tracking in a second-order multi-agent system. For each agent, an event-triggered control protocol is proposed in the absence of continuous communication between neighbors. The allowed range of parameters is designed based on matrix inequalities and the Lyapunov stability theorem to ensure the prescribed time consensus. Moreover, a detailed discussion is provided to demonstrate that ZENO behavior is avoided. Finally, a simulation example is provided to testify the effectiveness of the designed protocol.