Consensus of multi-agent systems subject to impulsive perturbations

This paper is concerned with the consensus problem of multi-agent systems with a time-invariant communication topology. Each agent under consideration is described by general linear time-invariant dynamics. Based on the relative output measurements of neighboring agents, both static output feedback consensus protocol subject to impulsive perturbations and dynamic output feedback consensus protocol are presented, where the dynamic output feedback consensus protocol is based on an observer subject to impulsive perturbations. By utilizing the Lyapunov function method and linear matrix inequality technique, sufficient conditions for solving the consensus problem are derived. Illustrated examples have been given to show the effectiveness of the proposed consensus protocols.