Finite-time consensus protocol for stochastic multi-agent systems

To solve the problem that the frame of finite-time consensus in probability has not been proposed, this note discusses the finite-time consensus in probability for stochastic multi-agent systems. The main contributions exist in (i) a framework for constructing effectively distributed protocols is presented to improve the convergence rate of protocol, which can ensure the finite-time consensus in probability for stochastic multi-agent systems under undirected connected communication topology; (ii) the relationship is discussed between the convergence time and the influence factors including the protocol parameters, the algebraic connectivity, and the initial state. Finally, some simulations are performed to verify the effectiveness of the theoretical results.