Synchronization of a class of nonlinear multi-agent systems with sampled-data information

The synchronization problem for a class of nonlinear multi-agent systems only using sampled-data information is investigated in this paper. The multi-agent system has a leader-follower architecture, and the desired synchronization state is the leader's state, which is available to only a subset of the follower agents. First, by integrating the graph theory and Lyapunov design methods together, a sampled-data control law is designed. Then, the explicit formula for the maximum allowable sampling period is computed to guarantee states synchronization for all agents. An example is given to verify the efficiency of the proposed method.