Obtaining Consensus of Singular Multi-agent Linear Dynamic Systems

Abstract: There is much literature about the study of the consensus problem in the case where the dynamics of the agents are linear systems, but the problem is still open for the case where the dynamic of the agents are singular linear systems. In this paper the consensus problem for singular multi-agent systems is considered, in which all agents have an identical linear dynamic mode that can be of any order. A generalization to the case all agents are of the same order but do not have the same linear dynamic is also analyzed.