H<inf>∞</inf> impulsive consensus of multi-agent systems with external disturbances

Abstract

H ∞ consensus is investigated for multi-agent systems with linear dynamics and impulsive effects in this paper. First of all, by considering the effects of distributed impulses, the model of linear multi-agent systems with impulsive effects and external disturbances has been obtained. Then, in view of the average impulsive interval and the Lyapunov stability theory, an algorithm has been given to solve the H ∞ impulsive consensus for the linear multi-agent system under consideration. The theoretical results are verified by an example in the final.