Tracking Group Consensus for Fractional-order Nonlinear Multi-agent Systems*

The tracking group consistency problem for nonlinear dynamic fractional-order multi-agent systems under undirected interaction graphs is discussed in this study. In double-integrator nonlinear multi-agent systems, a novel control method is presented, which can realize the group consistency with leaders. Introducing fractional-order Lyapunov method into fractional-order multi-agent systems, and some sufficient conditions are given for guaranteeing group consistency in nonlinear double-integrator dynamical systems. Finally, the proposed theory is validated using numerical simulation.