Consensus of continuous-time linear multi-agent systems with intermittent information transmission

The consensus problem of continuous-time multi-agent systems with linear dynamics is considered. Firstly, a sampled-data consensus control protocol is proposed. Based on state transformations, the consensus problem is equivalently converted to the stability of linear time-delay systems. Next, by employing Lyapunov-Krosovskii function method and a delay processing method, a delay-dependent stability criterion is derived via 2(n - 1) LMIs. Then, according to LMIs' convex combination technique, 2(n - 1) LMIs are reduced to four ones. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.