Necessary conditions for group consensusability of multi-agent systems

Group consensusability problems of continuous-time and discrete-time multi-agent systems with directed topology are discussed in this paper, respectively. Necessary conditions of couple-group consensusability with respect to a given admissible control set are derived under a mild condition, which shows that group consensusability depends not only on the dynamic structures of agents, but also on interconnection relationship among agents of multi-agent systems.