Reaching a consensus: a discrete nonlinear time-varying case

In this paper, we have considered a nonlinear protocol for a structured time-varying and synchronous multi-agent system. By means of cubic triple stochastic matrices, we present an opinion sharing dynamics of the multi-agent system as a trajectory of a non-homogeneous system of cubic triple stochast...

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Main Authors:	Saburov, Mansoor, Saburov, Khikmat
Format:	Article
Language:	English English English
Published:	Taylor and Francis Ltd. 2016
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/51165/ http://irep.iium.edu.my/51165/ http://irep.iium.edu.my/51165/ http://irep.iium.edu.my/51165/1/Reaching_a_consensus---_IJSS.pdf http://irep.iium.edu.my/51165/4/51165-Reaching_a_consensus_a_discrete_nonlinear_time-varying_case_SCOPUS.pdf http://irep.iium.edu.my/51165/5/51165-Reaching_a_consensus_a_discrete_nonlinear_time-varying_case_WOS.pdf

id	iium-51165
recordtype	eprints
spelling	iium-511652016-12-22T06:49:23Z http://irep.iium.edu.my/51165/ Reaching a consensus: a discrete nonlinear time-varying case Saburov, Mansoor Saburov, Khikmat QA Mathematics In this paper, we have considered a nonlinear protocol for a structured time-varying and synchronous multi-agent system. By means of cubic triple stochastic matrices, we present an opinion sharing dynamics of the multi-agent system as a trajectory of a non-homogeneous system of cubic triple stochastic matrices. We show that the multi-agent system eventually reaches to a consensus if either of the following two conditions is satisfied: (1) every member of the group people has a positive subjective distribution on the given task after some revision steps or (2) all entries of some cubic triple stochastic matrix are positive. Taylor and Francis Ltd. 2016 Article PeerReviewed application/pdf en http://irep.iium.edu.my/51165/1/Reaching_a_consensus---_IJSS.pdf application/pdf en http://irep.iium.edu.my/51165/4/51165-Reaching_a_consensus_a_discrete_nonlinear_time-varying_case_SCOPUS.pdf application/pdf en http://irep.iium.edu.my/51165/5/51165-Reaching_a_consensus_a_discrete_nonlinear_time-varying_case_WOS.pdf Saburov, Mansoor and Saburov, Khikmat (2016) Reaching a consensus: a discrete nonlinear time-varying case. International Journal of Systems Science, 47 (10). pp. 2449-2457. ISSN 0020-7721 E-ISSN 1464-5319 http://www.tandfonline.com/doi/abs/10.1080/00207721.2014.998743?journalCode=tsys20 10.1080/00207721.2014.998743
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 consensus: a discrete nonlinear time-varying case
description	In this paper, we have considered a nonlinear protocol for a structured time-varying and synchronous multi-agent system. By means of cubic triple stochastic matrices, we present an opinion sharing dynamics of the multi-agent system as a trajectory of a non-homogeneous system of cubic triple stochastic matrices. We show that the multi-agent system eventually reaches to a consensus if either of the following two conditions is satisfied: (1) every member of the group people has a positive subjective distribution on the given task after some revision steps or (2) all entries of some cubic triple stochastic matrix are positive.
format	Article
author	Saburov, Mansoor Saburov, Khikmat
author_facet	Saburov, Mansoor Saburov, Khikmat
author_sort	Saburov, Mansoor
title	Reaching a consensus: a discrete nonlinear time-varying case
title_short	Reaching a consensus: a discrete nonlinear time-varying case
title_full	Reaching a consensus: a discrete nonlinear time-varying case
title_fullStr	Reaching a consensus: a discrete nonlinear time-varying case
title_full_unstemmed	Reaching a consensus: a discrete nonlinear time-varying case
title_sort	reaching a consensus: a discrete nonlinear time-varying case
publisher	Taylor and Francis Ltd.
publishDate	2016
url	http://irep.iium.edu.my/51165/ http://irep.iium.edu.my/51165/ http://irep.iium.edu.my/51165/ http://irep.iium.edu.my/51165/1/Reaching_a_consensus---_IJSS.pdf http://irep.iium.edu.my/51165/4/51165-Reaching_a_consensus_a_discrete_nonlinear_time-varying_case_SCOPUS.pdf http://irep.iium.edu.my/51165/5/51165-Reaching_a_consensus_a_discrete_nonlinear_time-varying_case_WOS.pdf
first_indexed	2023-09-18T21:12:24Z
last_indexed	2023-09-18T21:12:24Z
_version_	1777411340115116032

Reaching a consensus: a discrete nonlinear time-varying case

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