Synchronization of a linear multi-agent system with sampled control and a jointly connected topology

An algorithm for synchronization of a linear multi-agent system with jointly connected topology is presented. The system is composed of identical agents. It is assumed that the control of the agents is sampled. The resulting control is obtained as a solution of a set of linear matrix inequalities originating from a suitable Lyapunov-Krasovskii functional in connection with the Barbalat lemma. An example illustrates the results.