Asynchronous Impulsive Consensus of Two-timescale Multi-agent Systems

This paper investigates the consensus problem of multi-agent systems (MASs) with two-timescales characteristics, which is coped with the singular perturbation technique. The distributed impulsive controller is proposed, where the impulse instants are asynchronous among the agents. A method of average impulsive interval is introduced to regulate the frequency of impulses. By utilizing the singular perturbation parameter-dependent Lyapunov function, some sufficient conditions are obtained to synchronize a two-timescale MAS. Finally, the numerical simulation is verified to confirm the effectiveness of the proposed method.