Group Consensus of Multi-agent Networks With Multiple Time Delays

This paper investigates the group consensus problem of first-order multi-agent networks with multiple time delays. By applying the theory of frequency-domain, we aim to propose some algebraic criteria such that the multi-agent networks can reach group consensus. From the results, it can be shown that group consensus of networks is determined by owning input time delays and connection strengths between agents, independent of communication delays. However, the existence of communication delays will affect the convergence rate of multi-agent networks. Finally, several numerical simulated examples are given to show the validity and correctness of our theoretical results.