Consensus control of fractional version second-order systems

This paper investigates a consensus problem of the fractional version of second-order system with communication delay under both directed and undirected topologies. By applying the frequency domain method, a sufficient condition is given to ensure the fractional version of second-order consensus facing communication delays. It is proof that fractional version of second-order consensus can be reached if the time delay is not exceeding than the delay upper bound. Finally, a numerical example is provided to verify the effectiveness and correctness of the proposed consensus control protocol.