Finite-Time Consensus of Stochastic Nonlinear Multi-agent Systems

This article studies the finite-time consensus of the stochastic nonlinear multi-agent systems under a directed communication topology. Since the inherent nonlinear dynamics and stochastic disturbances in multi-agent systems are completely unknown, the existing finite-time stability criterion becomes unavailable. To handle this difficulty, by applying the mean value theorem of integrals, a key finite-time stability criterion in integral form is first established. Then, based on the approximation property of the fuzzy logic systems, a distributed adaptive fuzzy control scheme is presented. Under the presented control strategy, the finite-time consensus of the stochastic nonlinear multi-agent systems is achieved. By applying Jessen's inequality and Theorem 1, the finite-time stability of the closed system is proved. Finally, the simulation result shows the validity of the distributed controller.