Leader-following consensus of general linear fractional-order multiagent systems with input delay via event-triggered control

In this paper, the event-triggered leader-following consensus problem of general linear fractional-order multiagent systems subject to input delay on directed graph is investigated. A distributed event-triggered control protocol with input delay is proposed firstly. By applying the properties of the Mittag-Leffler function, the technique of inequality, and the matrix theory, some consensus criteria for the fractional-order multiagent systems are obtained. It is shown that the dynamic leader can be tracked by the followers for any bounded delay, and the followers receive and update their control protocol at some discrete time instants. Some simulation results are presented to illustrate the effectiveness of the theoretical analysis.