Distributed consensus problem for general linear multi-agent systems with sampled-data

This paper studies consensus control problem of multi-agent systems with sampled-data. The dynamics of the agents is modeled by the general continuous-time linear systems, and the interaction topology is assumed to be fixed and undirected. In a recent reference, a distributed sampled-data based consensus protocol was proposed to solve the consensus problem, and a sufficient condition is proposed in terms of linear matrix inequalities (LMIs), by which LMI-based approach was proposed to construct the feedback gain matrix. By using the similar method, a simple and low order consensus condition and the related gain matrix design approach are proposed. Finally, a simulation example is provided to illustrate the theoretical analysis.