Distributed node-to-node consensus of multi-agent systems with Lur´e node dynamics

Distributed node-to-node consensus for a class of multi-agent systems with Lur´e node dynamics and fixed directed topology is investigated in this paper. The multi-agent systems in the present framework consist of two levels, i.e., the leader´s level and the follower´s level, where the control goal is to find some linear coupling laws such that each follower can asymptotically track its corresponding leader. By using S-procedure and appropriately constructing a Lyapunov function, it is theoretical shown that distributed node-to-node consensus in the closed-loop multi-agent systems with the suitably designed coupling laws can be achieved if the carefully selected followers can directly sense their corresponding leaders.