Abstract

In this paper, the problem of group consensus of second-order multi-agent networks with multiple time delays is investigated. Based on the theory of frequency-domain, some algebraic criteria are proposed analytically which can guarantee the multi-agent networks to achieve group consensus. Results show that input time delays of the agents, coupling weights and coupling strengths between the agents play a key role in reaching group consensus. Meanwhile, communication time delays can only affect the convergence rate of the systems. Finally, the validity and correctness of our theoretical results are verified by several numerical simulated examples. Keywords-time delays; group consensus; multi-agent network; complex networks

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