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The proportion of leaders needed for the expected consensus
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
2011 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 47, no 12, 2697-2703 p.Article in journal (Refereed) Published
Abstract [en]

In order to have a self-organized multi-agent system exhibit some expected collective behavior, it is necessary to add some special agents with information (called leaders) to intervene the system. Then a fundamental question is: how many such leaders are needed? Naturally the answer depends on the model to be studied. In this paper a typical model proposed by Vicsek et al. is used for answering the question. By estimating the characteristics concerning the initial states of all agents and analyzing the system dynamics, we provide lower bounds on the ratio of leaders needed to guarantee the expected consensus.

Place, publisher, year, edition, pages
Elsevier, 2011. Vol. 47, no 12, 2697-2703 p.
Keyword [en]
Proportion, Leader-follower model, Consensus, Multi-agent systems, Vicsek's model
National Category
Computational Mathematics
URN: urn:nbn:se:kth:diva-63258DOI: 10.1016/j.automatica.2011.08.047ISI: 000298071000018ScopusID: 2-s2.0-81155155561OAI: diva2:484029
Swedish Research Council

QC 20120126

Available from: 2012-01-26 Created: 2012-01-23 Last updated: 2016-05-02Bibliographically approved

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Hu, Xiaoming
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Optimization and Systems TheoryACCESS Linnaeus CentreCentre for Autonomous Systems, CAS
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