Sampled-data containment control in second-order multi-agent systems with event-triggered transmission

The paper is concerned with event-triggered sampled-data containment control in second-order multi-agent systems with directed topology. Under the transmission scheme, the event-trigged condition can be only intermittently detected at sampling constants. With the proposed protocol, the containment control of the multi-agent systems can be transformed into the stability of a time-delay system. By constructing a Lyapunov-Krasovskii functional, a stability criterion is derived. Finally, a numerical simulation is provided to illustrate the effectiveness of the obtained method.