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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| Format: | Article |
| Language: | English English English |
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Taylor and Francis Ltd.
2016
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| Online Access: | 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 |
| _version_ | 1848783797366030336 |
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| author | Saburov, Mansoor Saburov, Khikmat |
| author_facet | Saburov, Mansoor Saburov, Khikmat |
| author_sort | Saburov, Mansoor |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T16:27:04Z |
| format | Article |
| id | iium-51165 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English English |
| last_indexed | 2025-11-14T16:27:04Z |
| publishDate | 2016 |
| publisher | Taylor and Francis Ltd. |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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 |
| 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/ 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 |