Mathematical models of nonlinear uniform consensus

We consider a nonlinear protocol for a structured time-invariant and synchronous multi-agent system. In the multi-agent system, we present opinion sharing dynamics as a trajectory of a cubic triple stochastic matrix. We provide a criterion for a uniform consensus of the multi-agent system. We show...

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Main Authors:	Saburov, Mansoor, Saburov, Khikmat
Format:	Article
Language:	English English
Published:	Science Society of Thailand under Royal Patronage 2014
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/39451/ http://irep.iium.edu.my/39451/ http://irep.iium.edu.my/39451/ http://irep.iium.edu.my/39451/1/Uniform_Consensus_---_SA.pdf http://irep.iium.edu.my/39451/4/39451_Mathematical%20models%20of%20nonlinear%20uniform%20consensus_SCOPUS.pdf

id	iium-39451
recordtype	eprints
spelling	iium-394512017-09-20T08:25:12Z http://irep.iium.edu.my/39451/ Mathematical models of nonlinear uniform consensus Saburov, Mansoor Saburov, Khikmat QA Mathematics We consider a nonlinear protocol for a structured time-invariant and synchronous multi-agent system. In the multi-agent system, we present opinion sharing dynamics as a trajectory of a cubic triple stochastic matrix. We provide a criterion for a uniform consensus of the multi-agent system. We show that the multi-agent system eventually reaches a consensus if either one of the following two conditions is satisfied: (i) every member of the group people has a positive subjective opinion on the given task after some revision steps or (ii) all entries of the given cubic triple stochastic matrix are positive. Science Society of Thailand under Royal Patronage 2014-08-01 Article PeerReviewed application/pdf en http://irep.iium.edu.my/39451/1/Uniform_Consensus_---_SA.pdf application/pdf en http://irep.iium.edu.my/39451/4/39451_Mathematical%20models%20of%20nonlinear%20uniform%20consensus_SCOPUS.pdf Saburov, Mansoor and Saburov, Khikmat (2014) Mathematical models of nonlinear uniform consensus. ScienceAsia, 40 (4). pp. 306-312. ISSN 1513-1874 http://www.scienceasia.org/ 10.2306/scienceasia1513-1874.2014.40.306
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English
topic	QA Mathematics
spellingShingle	QA Mathematics Saburov, Mansoor Saburov, Khikmat Mathematical models of nonlinear uniform consensus
description	We consider a nonlinear protocol for a structured time-invariant and synchronous multi-agent system. In the multi-agent system, we present opinion sharing dynamics as a trajectory of a cubic triple stochastic matrix. We provide a criterion for a uniform consensus of the multi-agent system. We show that the multi-agent system eventually reaches a consensus if either one of the following two conditions is satisfied: (i) every member of the group people has a positive subjective opinion on the given task after some revision steps or (ii) all entries of the given cubic triple stochastic matrix are positive.
format	Article
author	Saburov, Mansoor Saburov, Khikmat
author_facet	Saburov, Mansoor Saburov, Khikmat
author_sort	Saburov, Mansoor
title	Mathematical models of nonlinear uniform consensus
title_short	Mathematical models of nonlinear uniform consensus
title_full	Mathematical models of nonlinear uniform consensus
title_fullStr	Mathematical models of nonlinear uniform consensus
title_full_unstemmed	Mathematical models of nonlinear uniform consensus
title_sort	mathematical models of nonlinear uniform consensus
publisher	Science Society of Thailand under Royal Patronage
publishDate	2014
url	http://irep.iium.edu.my/39451/ http://irep.iium.edu.my/39451/ http://irep.iium.edu.my/39451/ http://irep.iium.edu.my/39451/1/Uniform_Consensus_---_SA.pdf http://irep.iium.edu.my/39451/4/39451_Mathematical%20models%20of%20nonlinear%20uniform%20consensus_SCOPUS.pdf
first_indexed	2023-09-18T20:56:41Z
last_indexed	2023-09-18T20:56:41Z
_version_	1777410351122350080

Mathematical models of nonlinear uniform consensus

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