L-two-L-infinity consensus in uncertain high-order multi-agent systems with a leader

We use the method of L-two-L-infinity to investigate the consensus problem for a class of high-order multiagent systems with a leader, under the condition of existing external disturbances, model errors and time-delay. The mathematical model is developed and the leader-following consensus with desired L-two-L-infinity performance is analyzed for networks with and without time-delay; thus, conditions for consensus of corresponding closed-loop systems are obtained respectively. Simulation results are provided to demonstrate the effectiveness of the proposed approach.