Group consensus of multi-agent systems with communication delays

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• 作者：Hong XiaAuthor Vitae ; Ting-Zhu HuangAuthor Vitae ; Jin-Liang Shao ; ^{jinliangshao@126.com" class="auth_mail" title="E-mail the corresponding author}Author Vitae ; Jun-Yan YuAuthor Vitae
• 关键词：Group consensus ; Time delays ; Multi-agent systems ; Switching topologies
• 刊名：Neurocomputing
• 出版年：2016
• 出版时间：1 January 2016
• 年：2016
• 卷：171
• 期：Complete
• 页码：1666-1673
• 全文大小：529 K

文摘

In this paper, we investigate group consensus problems for continuous-time multi-agent systems with time delays, where the agents׳ dynamics are controlled based on information from their neighbors at some discrete time instants. By utilizing nonnegative matrix theory and graph theory, the case with fixed topology and time-invariant delays is first considered, then the general case with switching topologies and time-varying delays is discussed. Some group consensus criteria are obtained in both cases, it is also shown that the agents in nonzero in-degree groups finally converge to the convex hull of those in zero in-degree groups. Simulation examples are provided to demonstrate the effectiveness of the theoretical results.