Consensus of fractional-order delayed multi-agent systems in Riemann–Liouville sense

Abstract

Fractional-order delayed multi-agent systems (FDMASs) in Riemann–Liouville sense are considered, where the corresponding topology is a weighted digraph. A new method is adopted to analyze consensus and some algebraic criteria are provided by applying classical Lyapunov direct method and algebraic graph theory. The main merit of our proposed approach is that the first-order derivative of the corresponding Lyapunov function can be taken. Two illustrative examples are provided to further show the validity of our approach.