The cluster-delay consensus of nonlinear multi-agent systems via impulsive control

Abstract

Abstract Based on the impulsive control strategy, the cluster-delay consensus of nonlinear multi-agent systems is studied in this paper for the first time. Different from the traditional continuous control method, impulsive control only acts on the systems at discrete impulsive moments, so it has the advantages of low control costs, fast response speed and strong adaptability. In addition, by the impulsive protocol, the state information of all neighboring agents is used to update their own state at impulse instants. Based on the graph theory and Lyapunov stability theory, some sufficient consensus criteria are given. Finally, the correctness of theoretical results is illustrated by numerical simulation.