Sampled-data consensus of first-order multi-agent systems with delayed-state-derivative feedback

This paper is concerned with sampled-data consensus of first-order delayed multi-agent systems with delayed-state-derivative feedback. First, the delay decomposition technique is used for obtaining the consensus protocol based on sampled-data. Then, the stability theory of linear systems and the algebra graph theory are employed to derive the necessary and sufficient conditions about the sampling period guaranteeing the achievement of consensus. Last, simulations are provided to demonstrate the effectiveness of the theoretical results.