Leader-Following Group Consensus of Fractional-Order Multi-Agent Systems Via a Dynamic Event-Triggered Control Strategy

This paper focuses on the problem of leader-following group consensus for a class of fractional-order multi-agent systems within the undirected communication topology. With the purpose of reducing the updating frequency of 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 use of the relate state of agent (in each subgroup) to its neighbors and leader. By using the Lyapunov direct approach and combining with properties of Caputo -type calculus, some sufficient criteria are derived in the easy-to-use form for ensuring the global Mittag-Leffler stability of the consensus error system. The Zeno phenomenon is also excluded for the proposed triggering mechanism. At last, an illustrative example and its simulations are given to show the validity of the theoretical results.