Finite-Time Distributed Event-Triggered Consensus Control for General Linear Multi-Agent Systems

This paper considers the finite-time distributed event-triggered consensus with fully continuous communication free for multi-agent systems with general linear dynamics under a directed graph. By employing an external dynamic threshold, a novel distributed event-triggered consensus controller is proposed to achieve consensus in finite time. It should be emphasized that continuous communication is not required in both controller update and triggering condition detecting by this approach, which means fully continuous communication free. In this strategy, the triggering instants is reduced significantly and the high frequency triggering is restrained. Additionally, Zeno behavior is almost excluded in the framework of event-triggered finite-time consensus. Finally, numerical simulations are given to illustrate the theoretical results.