Consensus of second-order multi-agent systems via event-triggered impulsive control

This paper studies the consensus problem in second-order multi-agent systems. For the first time, an event-triggered impulsive consensus control scheme is proposed to solve this problem. Under the event-triggered impulsive consensus control scheme, a distributed event-condition is defined in advance for each agent and the impulsive control is taken only when such condition satisfies, and no any actions are required otherwise. By constructing a Lyapunov function, we prove that the second-order static consensus can be achieved under the proposed impulsive control and there is no Zeno behavior based on the proposed event-triggered scheme. Finally, a numerical example is provided to illustrate the performance of the proposed control scheme.