Event-triggered control strategy for multi-agent systems with time-varying delays

This paper investigates event-triggered control strategy for the consensus problem of multi-agent systems with time-varying delays. The state of each agent is sampled and transmitted to its neighbors when a certain event condition is satisfied. Two kinds of decentralized event conditions are proposed. Sufficient conditions in terms of Linear Matrix Inequalities (LMIs) are established to ensure the consensus of the multi-agent systems with the event-triggered control feedbacks. Simulation example is given to demonstrate the effectiveness of the theoretical results.