Adaptive consensus control of nonlinear fractional-order multi-agent systems with a leader

In this manuscript, we investigate the adaptive consensus control problem of nonlinear fractional-order multi-agent systems with a leader. To solve the problem, an adaptive control protocol based on neighboring agent state information under undirected communication topology is presented. Then, according to the Lyapunov stability theory of the fractional order system, Barbalat lemma, Kronecker product and Schur complement lemma, the sufficient conditions for the researched systems to be consistent are obtained. Finally, the corresponding numerical simulation is given to verify the correctness of the obtained results.