Smooth Finite-Time Distributed Control of Multi-Agent Systems with Communication Noises

This paper considers the finite-time consensus problem of high-order linear multi-agent systems subject to communication noises. First, a smooth distributed state feedback controller is designed, under which the finite-time consensus is achieved in a mean-square sense. With the help of stochastic stability theory, it is shown that the consensus errors converge to zero within a-priori given, user-defined finite time. A numerical example is finally presented to illustrate the theoretical result.