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Opinion consensus of modified Hegselmann-Krause models
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
KTH, School of Electrical Engineering (EES), Automatic Control.ORCID iD: 0000-0001-7309-8086
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre. KTH, School of Computer Science and Communication (CSC), Centres, Centre for Autonomous Systems, CAS.ORCID iD: 0000-0003-0177-1993
2012 (English)In: 2012 IEEE 51st Annual Conference on Decision and Control (CDC), IEEE , 2012, 100-105 p.Conference paper, Published paper (Refereed)
Abstract [en]

We consider the opinion consensus problem using a multi-agent setting based on the Hegselmann-Krause (H-K) Model. Firstly, we give a sufficient condition on the initial opinion distribution so that the system will converge to only one cluster. Then, modified models are proposed to guarantee convergence for more general initial conditions. The overall connectivity is maintained with these models, while the loss of certain edges can occur. Furthermore, a smooth control protocol is provided to avoid the difficulties that may arise due to the discontinuous right-hand side in the H-K model.

Place, publisher, year, edition, pages
IEEE , 2012. 100-105 p.
Series
IEEE Conference on Decision and Control. Proceedings, ISSN 0191-2216
Keyword [en]
Consensus problems, Discontinuous right-hand sides, Initial conditions, Modified model, Multi-agent setting, Smooth control, Sufficient conditions
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-119203DOI: 10.1109/CDC.2012.6426742ISI: 000327200400017Scopus ID: 2-s2.0-84874262831ISBN: 978-1-4673-2066-5 (print)OAI: oai:DiVA.org:kth-119203DiVA: diva2:610767
Conference
51st IEEE Conference on Decision and Control, CDC 2012; Maui, HI; United States; 10 December 2012 through 13 December 2012
Note

QC 20130313

Available from: 2013-03-13 Created: 2013-03-08 Last updated: 2013-12-20Bibliographically approved

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Dimarogonas, Dimos V.Hu, Xiaoming

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