Group consensus of multi-agent systems with hybrid characteristics and directed topological networks.

In this paper, the group consensus problem is investigated for multi-agent systems (MASs) with hybrid characteristics and directed topological networks. Firstly, the dynamical model of hybrid multi-agent system (MAS) is constructed, which includes discrete time agents and continuous time agents. A class of distributed control protocols are put forward for hybrid MASs. Then, under fixed and directed topological networks, sufficient and necessary conditions for the realization of group consensus are provided on basis of matrix theory and graph theory. Finally, simulations examples are given to further verify the validity of our theoretical results.