Second-order impulsive consensus under asynchronous sampled information and time-varying topology

This paper studies the asynchronous second-order consensus of multi-agent systems with impulsive controller and time-varying topology. Each agent samples the relative position information between neighbors and the absolute velocity information at its own clock. For different agents, the neighbors are varying over time. For the purpose of proving the main result, we reduce the order of stacked velocity vector and transform the consensus convergence into the stability of an augmented system. It is shown that the static consensus can be achieved, that is, agents' positions and velocities converge to a constant value and zero respectively.