Reaching consensus via polynomial stochastic operators: A general study
In this paper, we consider a nonlinear protocol for a structured time-varying synchronous multi-agent system in which an opinion sharing dynamics is presented by non-autonomous polynomial stochastic operators associated with high-order stochastic hyper-matrices. We show that the proposed nonlinear p...
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| Format: | Proceeding Paper |
| Language: | English English |
| Published: |
Springer
2017
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| Online Access: | http://irep.iium.edu.my/62987/ http://irep.iium.edu.my/62987/2/62987%20Reaching%20Consensus%20via%20Polynomial.pdf http://irep.iium.edu.my/62987/3/62987%20Reaching%20Consensus%20via%20Polynomial%20SCOPUS.pdf |
| _version_ | 1848785947973386240 |
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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 consider a nonlinear protocol for a structured time-varying synchronous multi-agent system in which an opinion sharing dynamics is presented by non-autonomous polynomial stochastic operators associated with high-order stochastic hyper-matrices. We show that the proposed nonlinear protocol generates the Krause mean process. We provide a criterion to establish a consensus in the multi-agent system under the proposed nonlinear protocol |
| first_indexed | 2025-11-14T17:01:15Z |
| format | Proceeding Paper |
| id | iium-62987 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T17:01:15Z |
| publishDate | 2017 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-629872018-06-26T03:55:36Z http://irep.iium.edu.my/62987/ Reaching consensus via polynomial stochastic operators: A general study Saburov, Mansoor Saburov, Khikmat QA Mathematics In this paper, we consider a nonlinear protocol for a structured time-varying synchronous multi-agent system in which an opinion sharing dynamics is presented by non-autonomous polynomial stochastic operators associated with high-order stochastic hyper-matrices. We show that the proposed nonlinear protocol generates the Krause mean process. We provide a criterion to establish a consensus in the multi-agent system under the proposed nonlinear protocol Springer 2017 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/62987/2/62987%20Reaching%20Consensus%20via%20Polynomial.pdf application/pdf en http://irep.iium.edu.my/62987/3/62987%20Reaching%20Consensus%20via%20Polynomial%20SCOPUS.pdf Saburov, Mansoor and Saburov, Khikmat (2017) Reaching consensus via polynomial stochastic operators: A general study. In: 22nd International Conference on Difference Equations and Applications (ICDEA 2016), 24-29 July 2016, Osaka; Japan. https://link.springer.com/chapter/10.1007/978-981-10-6409-8_14 10.1007/978-981-10-6409-8_14 |
| spellingShingle | QA Mathematics Saburov, Mansoor Saburov, Khikmat Reaching consensus via polynomial stochastic operators: A general study |
| title | Reaching consensus via polynomial stochastic operators: A general study |
| title_full | Reaching consensus via polynomial stochastic operators: A general study |
| title_fullStr | Reaching consensus via polynomial stochastic operators: A general study |
| title_full_unstemmed | Reaching consensus via polynomial stochastic operators: A general study |
| title_short | Reaching consensus via polynomial stochastic operators: A general study |
| title_sort | reaching consensus via polynomial stochastic operators: a general study |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/62987/ http://irep.iium.edu.my/62987/ http://irep.iium.edu.my/62987/ http://irep.iium.edu.my/62987/2/62987%20Reaching%20Consensus%20via%20Polynomial.pdf http://irep.iium.edu.my/62987/3/62987%20Reaching%20Consensus%20via%20Polynomial%20SCOPUS.pdf |