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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| Format: | Article |
| Language: | English English English |
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Springer
2014
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| Online Access: | 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 |
| _version_ | 1796879115377180672 |
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| author | Saburov, Mansoor Saburov, Khikmat |
| author_facet | Saburov, Mansoor Saburov, Khikmat |
| author_sort | Saburov, Mansoor |
| collection | IIUM |
| 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. |
| first_indexed | 2024-03-05T23:30:32Z |
| format | Article |
| id | oai:generic.eprints.org:38828 |
| institution | International Islamic University Malaysia |
| language | English English English |
| last_indexed | 2024-03-05T23:30:32Z |
| publishDate | 2014 |
| publisher | Springer |
| record_format | dspace |
| spelling | oai:generic.eprints.org: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 |
| spellingShingle | QA Mathematics Saburov, Mansoor Saburov, Khikmat Reaching a nonlinear consensus: polynomial stochastic operators |
| title | 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_short | Reaching a nonlinear consensus: polynomial stochastic operators |
| title_sort | reaching a nonlinear consensus polynomial stochastic operators |
| topic | QA Mathematics |
| url | 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 |
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