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Abstract and Applied Analysis
Volume 2012, Article ID 274735, 11 pages
Research Article

Cluster Consensus on Discrete-Time Multi-Agent Networks

1State Key Laboratory of Power Transmission Equipment & System Security and New Technology, College of Computer Science, Chongqing University, Chongqing 400044, China
2Department of Mathematics and Information Engineering, Chongqing University of Education, Chongqing 400067, China

Received 6 August 2012; Accepted 24 September 2012

Academic Editor: Chuandong Li

Copyright © 2012 Li Xiao 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.


Nowadays, multi-agent networks are ubiquitous in the real world. Over the last decade, consensus has received an increasing attention from various disciplines. This paper investigates cluster consensus for discrete-time multi-agent networks. By utilizing a special coupling matrix and the Kronecker product, a criterion based on linear matrix inequality (LMI) is obtained. It is shown that the addressed discrete-time multi-agent networks achieve cluster consensus if a certain LMI is feasible. Finally, an example is given to demonstrate the effectiveness of the proposed criterion.