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Mathematical Problems in Engineering
Volume 2014, Article ID 304126, 6 pages
Research Article

Average Consensus in Multiagent Systems with the Problem of Packet Losses When Using the Second-Order Neighbors’ Information

1School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, China
2Tianjin Electric Power Design Institute, Tianjin 300400, China
3State Key Laboratory for Turbulence and Complex Systems and College of Engineering, Peking University, Beijing 100871, China
4Department of Mathematics and Physics, Beijing Institute of Petrochemical Technology, Beijing 102617, China

Received 17 February 2014; Accepted 18 March 2014; Published 10 April 2014

Academic Editor: Housheng Su

Copyright © 2014 Mei Yu et al. 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.


This paper mainly investigates the average consensus of multiagent systems with the problem of packet losses when both the first-order neighbors’ information and the second-order neighbors’ information are used. The problem is formulated under the sampled-data framework by discretizing the first-order agent dynamics with a zero-order hold. The communication graph is undirected and the loss of data across each communication link occurs at certain probability, which is governed by a Bernoulli process. It is found that the distributed average consensus speeds up by using the second-order neighbors’ information when packets are lost. Numerical examples are given to demonstrate the effectiveness of the proposed methods.