Leader-Following Group Consensus of Fractional-Order Multiagent Systems via a Dynamic Event-Triggered Control Strategy

This article focuses on the problem of leader-following group consensus for a class of fractional-order multiagent systems within the undirected communication topology. With the purpose of reducing the updating frequency of the control signal, an auxiliary dynamical variable is generated to construct the dynamic event-triggering mechanism by which the triggering instants can be delicately determined for each agent to broadcast the information to its neighbors. Under the intergroup balance condition, the distributed consensus control protocols are designed by taking advantage of the related state of the agent (in each subgroup) to its neighbors and leader. By using the Lyapunov direct approach and combining it with the properties of Caputo-type calculus, some sufficient criteria are derived in an easy-to-use form for ensuring the global Mittag–Leffler stability of the consensus error system. The Zeno phenomenon is also excluded from the proposed triggering mechanism. At last, an illustrative example and its simulations are given to show the validity of the theoretical results.