Consensus of multi-agent systems with distributed fractional order dynamics

In this article, we investigate the consensus of multi-agent systems with fixed directed graphs and described by distributed fractional order differential equations. Using recently introduced Lyapunov stability results, we give sufficient conditions for this kind of systems to achieve robust consensus. We study separately systems with linear and nonlinear dynamics; in both cases we consider the possible presence of external disturbances. Finally, an example is given to validate some of the presented theory.