Lead-Time Average Consensus of Multi-agent Systems

In this paper, the lead-time average consensus of multi-agent systems is investigated. The proposed strategy can make the multi-agent systems reach consensus before any prescribed time, which can be arbitrarily given according to actual needs. Meanwhile, compared with the prescribed-time consensus strategy, the proposed strategy has a faster convergence rate. In addition, this paper propose estimation algorithms for the actual stable time of multi-agent systems. In the end, some numerical examples are used to illustrate the effectiveness of the proposed strategy.