A Novel Clustering Method Based on Quasi-Consensus Motions of Dynamical Multiagent Systems. (13th September 2017)

• Record Type: Journal Article
• Authors: Cai, Ning; Diao, Chen; Khan, M. Junaid
• Other Names: Elhadj Zeraoulia Academic Editor.
• Is Part Of: Complexity. Volume 2017(2017)
• Publication Date: 2017-09-13
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2017/4978613
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : 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.