Fixed-time consensus of nonlinear stochastic multi-agent systems

In this paper, the fixed-time consensus problem of nonlinear stochastic multi-agent systems is investigated under fixed and switched topologies. Firstly, a novel protocol for fixed topology is proposed. The sufficient condition is provided for solving the fixed-time consensus. By using the stability theory of stochastic differential equation and algebraic graph theory, the validity of the protocol is proved. Meanwhile, the minimum upper bound of convergence time is given as well. Then, it is extended to the case of switching topology. The union of designed switching topology subgraphs merely demand to satisfy the connectivity condition, so that fixed-time consensus is achieved with more general model. Finally, two simulation examples further verify the effectiveness of the theoretical results. © 2021, Editorial Department of Control Theory & Applications South China University of Technology. All right reserved.