Fixed-Time Bipartite Consensus Tracking of Fractional-Order Multi-Agent Systems With a Dynamic Leader

This brief considers the fixed-time bipartite consensus tracking problem of a fractional-order multiagent system (FOMAS) with a dynamic leader in a general directed signed network. Firstly, by introducing a neighborhood-based variable, the FOMAS is transformed into an integer-order MAS. Then, a distributed protocol with heterogeneous coupling gains is proposed to ensure that the fixed-time bipartite consensus tracking can be achieved within a settling time. The upper bound of the settling time can be estimated explicitly, which is irrelevant to any initial conditions. Finally, the effectiveness of the proposed distributed protocol is illustrated by numerical simulation.