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Volume 2017, Article ID 4978613, 8 pages
Research Article

A Novel Clustering Method Based on Quasi-Consensus Motions of Dynamical Multiagent Systems

1College of Electrical Engineering, Northwest Minzu University, Lanzhou, China
2Key Laboratory of National Language Intelligent Processing, Gansu Province, China
3National University of Sciences and Technology, Islamabad, Pakistan

Correspondence should be addressed to Ning Cai; nc.gro.auhgnist@19gniniac

Received 18 February 2017; Accepted 26 March 2017; Published 13 September 2017

Academic Editor: Zeraoulia Elhadj

Copyright © 2017 Ning Cai 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 presents a novel approach for clustering, which is based on quasi-consensus of dynamical linear high-order multiagent systems. The graph topology is associated with a selected multiagent system, with each agent corresponding to one vertex. In order to reveal the cluster structure, the agents belonging to a similar cluster are expected to aggregate together. To establish the theoretical foundation, a necessary and sufficient condition is given to check the achievement of group consensus. Two numerical instances are furnished to illustrate the results of our approach.