Reaching a nonlinear consensus: polynomial stochastic operators

We provide a general nonlinear protocol for a structured time-varying and synchronous multi-agent system. We present an opinion sharing dynamics of the multi-agent system as a trajectory of a polynomial stochastic operator associated with a multidimensional stochastic hypermatrix. We show that the...

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Main Authors:	Saburov, Mansoor, Saburov, Khikmat
Format:	Article
Language:	English English English
Published:	Springer 2014
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/38828/ http://irep.iium.edu.my/38828/ http://irep.iium.edu.my/38828/ http://irep.iium.edu.my/38828/1/38828_Reaching%20a%20nonlinear%20consensus.pdf http://irep.iium.edu.my/38828/2/38828_Reaching%20a%20nonlinear%20consensus_SCOPUS.pdf http://irep.iium.edu.my/38828/3/38828_Reaching%20a%20nonlinear%20consensus_WOS.pdf

id	iium-38828
recordtype	eprints
spelling	iium-388282017-09-26T01:38:06Z http://irep.iium.edu.my/38828/ Reaching a nonlinear consensus: polynomial stochastic operators Saburov, Mansoor Saburov, Khikmat QA Mathematics We provide a general nonlinear protocol for a structured time-varying and synchronous multi-agent system. We present an opinion sharing dynamics of the multi-agent system as a trajectory of a polynomial stochastic operator associated with a multidimensional stochastic hypermatrix. We show that the multi-agent system eventually reaches to 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 a multidimensional stochastic hypermatrix are positive. Numerical results are also presented. Springer 2014-11-09 Article PeerReviewed application/pdf en http://irep.iium.edu.my/38828/1/38828_Reaching%20a%20nonlinear%20consensus.pdf application/pdf en http://irep.iium.edu.my/38828/2/38828_Reaching%20a%20nonlinear%20consensus_SCOPUS.pdf application/pdf en http://irep.iium.edu.my/38828/3/38828_Reaching%20a%20nonlinear%20consensus_WOS.pdf Saburov, Mansoor and Saburov, Khikmat (2014) Reaching a nonlinear consensus: polynomial stochastic operators. International Journal of Control, Automation and Systems, 12 (6). pp. 1276-1282. ISSN 1598-6446 E-ISSN 2005-4092 http://link.springer.com/article/10.1007/s12555-014-0061-0 10.1007/s12555-014-0061-0
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English English
topic	QA Mathematics
spellingShingle	QA Mathematics Saburov, Mansoor Saburov, Khikmat Reaching a nonlinear consensus: polynomial stochastic operators
description	We provide a general nonlinear protocol for a structured time-varying and synchronous multi-agent system. We present an opinion sharing dynamics of the multi-agent system as a trajectory of a polynomial stochastic operator associated with a multidimensional stochastic hypermatrix. We show that the multi-agent system eventually reaches to 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 a multidimensional stochastic hypermatrix are positive. Numerical results are also presented.
format	Article
author	Saburov, Mansoor Saburov, Khikmat
author_facet	Saburov, Mansoor Saburov, Khikmat
author_sort	Saburov, Mansoor
title	Reaching a nonlinear consensus: polynomial stochastic operators
title_short	Reaching a nonlinear consensus: polynomial stochastic operators
title_full	Reaching a nonlinear consensus: polynomial stochastic operators
title_fullStr	Reaching a nonlinear consensus: polynomial stochastic operators
title_full_unstemmed	Reaching a nonlinear consensus: polynomial stochastic operators
title_sort	reaching a nonlinear consensus: polynomial stochastic operators
publisher	Springer
publishDate	2014
url	http://irep.iium.edu.my/38828/ http://irep.iium.edu.my/38828/ http://irep.iium.edu.my/38828/ http://irep.iium.edu.my/38828/1/38828_Reaching%20a%20nonlinear%20consensus.pdf http://irep.iium.edu.my/38828/2/38828_Reaching%20a%20nonlinear%20consensus_SCOPUS.pdf http://irep.iium.edu.my/38828/3/38828_Reaching%20a%20nonlinear%20consensus_WOS.pdf
first_indexed	2023-09-18T20:55:47Z
last_indexed	2023-09-18T20:55:47Z
_version_	1777410294408019968

Reaching a nonlinear consensus: polynomial stochastic operators

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