Bipartite Consensus Control of Multiagent Systems on Coopetition Networks

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...

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Main Author: Jiangping Hu
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/689070
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author Jiangping Hu
author_facet Jiangping Hu
author_sort Jiangping Hu
collection DOAJ
description 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.
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spelling doaj-art-7a696d920ed6491a96cedbd16ace23382025-02-03T06:06:16ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/689070689070Bipartite Consensus Control of Multiagent Systems on Coopetition NetworksJiangping Hu0School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaCooperation 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.http://dx.doi.org/10.1155/2014/689070
spellingShingle Jiangping Hu
Bipartite Consensus Control of Multiagent Systems on Coopetition Networks
Abstract and Applied Analysis
title Bipartite Consensus Control of Multiagent Systems on Coopetition Networks
title_full Bipartite Consensus Control of Multiagent Systems on Coopetition Networks
title_fullStr Bipartite Consensus Control of Multiagent Systems on Coopetition Networks
title_full_unstemmed Bipartite Consensus Control of Multiagent Systems on Coopetition Networks
title_short Bipartite Consensus Control of Multiagent Systems on Coopetition Networks
title_sort bipartite consensus control of multiagent systems on coopetition networks
url http://dx.doi.org/10.1155/2014/689070
work_keys_str_mv AT jiangpinghu bipartiteconsensuscontrolofmultiagentsystemsoncoopetitionnetworks