Distributed Finite-Time Bipartite Containment Control for Heterogeneous Fractional-Order Multi-Agent Systems

This paper solves the finite-time bipartite output containment problem for heterogeneous fractional-order multi-agent systems (HFOMASs) with structurally balanced graph. First, the distributed finite-time bipartite observer is presented to estimate the convex hull of the outputs generated by leaders or the opposite convex hull of leaders’ outputs. Then, the finite-time bipartite control algorithm is presented to achieve the bipartite output containment control within a finite time. Finally, the example is presented to demonstrate the effectiveness of theoretical conclusions.