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:en
en
en
Published: Taylor and Francis Ltd. 2016
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Online Access: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
http://irep.iium.edu.my/51165/
http://www.tandfonline.com/doi/abs/10.1080/00207721.2014.998743?journalCode=tsys20
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author Saburov, Mansoor
Saburov, Khikmat
author_facet Saburov, Mansoor
Saburov, Khikmat
author_sort Saburov, Mansoor
building IIUM Library
collection Institutional Repository
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
continent Asia
country Malaysia
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.
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institution Universiti Islam Antarabangsa Malaysia
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spelling my.iium.irep-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
spellingShingle QA Mathematics
Saburov, Mansoor
Saburov, Khikmat
Reaching a consensus: a discrete nonlinear time-varying case
title 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_short Reaching a consensus: a discrete nonlinear time-varying case
title_sort reaching a consensus: a discrete nonlinear time-varying case
topic QA Mathematics
url 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
http://irep.iium.edu.my/51165/
http://www.tandfonline.com/doi/abs/10.1080/00207721.2014.998743?journalCode=tsys20
url_provider http://irep.iium.edu.my/