Finite-time consensus for second-order stochastic multi-agent systems with nonlinear dynamics

In this study, the problem of finite-time consensus in probability for second-order stochastic multi-agent systems with non-identical nonlinear dynamics is investigated. Based on the stochastic finite-time stability theorems and adding a power integrator technique, we propose the distributed control algorithm for the stochastic multi-agent systems, which can guarantee all agents converge to consensus in finite time with probability one under an undirected graph. Two simulation examples are presented to demonstrate the effectiveness of the proposed methods.