Bipartite Consensus Control for Riemann–Liouville's Nonlinear Fractional Multi‐Agent Systems With Mixed Delays

ABSTRACT Bipartite consensus control for Riemann–Liouville's nonlinear fractional multi‐agent systems (RL‐NFMASs) with distributed and input delays is investigated. First, a delayed control protocol is devised in this article by the local output information between agents, the feasible criterion for ensuring bipartite consensus is obtained in terms of signed graph theory, classical Lyapunov direct approach, and global attractiveness theory of Riemann–Liouville's fractional delayed systems. Secondly, the result in leader‐following bipartite consensus is extended to bipartite containment control. The proposed way can commendably resolve the trouble caused by mixed delays and Riemann–Liouville's fractional derivative. Ultimately, two simulation instances are proposed to verify the dependability of the presented results.