Consensus of Delayed Fractional-Order Multiagent Systems With Intermittent Sampled Data

Abstract

In this article, the consensus problem for the delayed fractional-order multiagent system (FOMAS) under directed graph is addressed by intermittent sampled-data control. First, an intermittent sampled-data control protocol with input time delay is proposed. By virtue of Laplace transform and stability theory, some necessary and sufficient conditions depending on the order, input time delay, sampling period, communication width, coupling strengths, and network structure are presented for the delayed FOMASs to reach consensus. Moreover, due to the relationship about the input time delay, communication width, and sampling period, four cases are carefully discussed to find that the sampling period has bounds for a given network with known input time delay and communication width to obtain consensus. Finally, some simulation examples are shown to verify the theoretical results.