Mean-Square Bipartite Consensus of Multi-agent Systems with Saturation Constraint via Impulsive Control

Abstract

To avoid the actuator saturation caused by communication limitation in practical applications, based on the impulsive control strategy constrained by saturation characteristics, in this paper, we study the mean-square bipartite consensus for a class of leader-following multi-agent systems with randomly occurring uncertainties and randomly occurring nonlinearities. By using the Lyapunov stability theory, convex hull theory and algebraic graph theory, some sufficiency conditions for multi-agent systems to achieve mean-square bipartite consensus are given. Finally, a numerical simulation is provided to verify the effectiveness results.