The Consensus Research on a Class of Event-Triggered Multi-Agent System

This paper studies the properties of a class of multi- agent systems. First of all, this article lists some symbols and lemmas to be used afterwards. The first main part of this article studies a class of continuous-time multi-agent systems with event-trigger mechanism and gives its consensus analysis by applying Lyapunov method. At the same time, this article also gives a modified trigger mechanism, consisting of both time intervals and event-trigger intervals for this kind of continuous system. And it is proved that under the proposed trigger mechanism, the state solutions of the given system can finally reach a consensus and the Zeno effect does not appear. Moreover, the problem of average consensus of differential privacy is also studied with an event-trigger mechanism in a discrete-time multi-agent system. The consensus and accuracy of this discrete system in the sense of mean square is studied. Through the research, it is concluded that the output states of the discrete system under the given event-trigger mechanism finally reach a consensus in the mean square sense, and the state solutions converge to the weighted average of the initial state. At the end of this paper, numerical simulations are made to illustrate the feasibility of the algorithm of this paper in practice.