Consensus analysis of fractional-order nonlinear multi-agent systems with distributed and input delays

Fractional-order nonlinear multi-agent systems with distributed and input delays are considered, in which the topology of multi-agent system corresponds to a directed weighted graph or an undirected weighted graph. Several algebraic conditions on leader-following consensus are presented by using fractional-order Razumikhin approach and algebraic graph theory. Finally, we present two numerical examples to illustrate those conditions proposed are feasible and convenient to evaluate consensus.