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Discrete Dynamics in Nature and Society
Volume 2012, Article ID 857561, 11 pages
Research Article

Impulsive Cluster Anticonsensus of Discrete Multiagent Linear Dynamic Systems

School of Mathematics, Yancheng Teachers University, Yancheng 224002, China

Received 8 September 2011; Accepted 9 December 2011

Academic Editor: Piyapong Niamsup

Copyright © 2012 Liping Zhang and Haibo Jiang. 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.


Cluster anticonsensus is another important type consensus of multiagent systems. In this paper, we investigate the problem of impulsive cluster anticonsensus of discrete multiagent linear dynamic systems. Firstly, an impulsive protocol is designed to achieve the cluster anticonsensus. Then sufficient conditions are given to guarantee the cluster anticonsensus of the discrete multiagent linear dynamic system based on the -theory. Numerical simulation shows the effectiveness of our theoretical results.