Consensus of single integrator multi-agent systems with unbounded transmission delays

摘要

This paper mainly concentrates on the consensus problem of the single integrator multi-agent systems with unbounded time-varying transmission delays and fixed directed topology. We show that the consensus problem can be solved under the spanning tree assumption and the no-cycle assumption. We characterize the no-cycle assumption and prove the consensus of multi-agent systems with an induction procedure. Two simulation examples are provided, one is to illustrate the effectiveness of our result and the other is to show the necessity of the no-cycle assumption.