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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 689070, 9 pages
http://dx.doi.org/10.1155/2014/689070
Research Article

Bipartite Consensus Control of Multiagent Systems on Coopetition Networks

School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China

Received 12 April 2014; Accepted 9 June 2014; Published 19 June 2014

Academic Editor: Norio Yoshida

Copyright © 2014 Jiangping Hu. 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.

Abstract

Cooperation and competition are two typical interactional relationships in natural and engineering networked systems. Some complex behaviors can emerge through local interactions within the networked systems. This paper focuses on the coexistence of competition and cooperation (i.e., coopetition) at the network level and, simultaneously, the collective dynamics on such coopetition networks. The coopetition network is represented by a directed signed graph. The collective dynamics on the coopetition network is described by a multiagent system. We investigate two bipartite consensus strategies for multiagent systems such that all the agents converge to a final state characterized by identical modulus but opposite sign. Under a weak connectivity assumption that the coopetition network has a spanning tree, some sufficient conditions are derived for bipartite consensus of multiagent systems with the help of a structural balance theory. Finally, simulation results are provided to demonstrate the bipartite consensus formation.