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Mathematical Problems in Engineering
Volume 2016, Article ID 6803927, 5 pages
Research Article

Consensus of Third-Order Multiagent Systems with Time Delay in Undirected Networks

School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, China

Received 31 March 2016; Accepted 19 May 2016

Academic Editor: Guangming Xie

Copyright © 2016 Yanfen Cao and Yuangong Sun. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We consider consensus of a class of third-order continuous-time multiagent systems with time delay in undirected networks. By using matrix analysis and a frequency domain approach, a necessary and sufficient condition for consensus is established. A simulation result is also given to illustrate the main theoretical result.