Mathematical models of nonlinear uniform consensus II
This paper is a continuation of our previous studies on nonlinear consensus. We have considered a nonlinear protocol for a structured time-invariant and synchronous multi-agent system. We present an opinion sharing dynamics of the multi-agent system as a trajectory of a polynomial stochastic operato...
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| Format: | Article |
| Language: | English English |
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L & H Scientific Publishing, LLC
2018
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| Online Access: | http://irep.iium.edu.my/64769/ http://irep.iium.edu.my/64769/1/64769_Mathematical%20models%20of%20nonlinear%20uniform%20consensus%20II_article.pdf http://irep.iium.edu.my/64769/2/64769_Mathematical%20models%20of%20nonlinear%20uniform%20consensus%20II_scopus.pdf |
| _version_ | 1848786275567403008 |
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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 | This paper is a continuation of our previous studies on nonlinear consensus. We have considered a nonlinear protocol for a structured time-invariant 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 stochastic multidimensional hyper-matrix. We provide a criterion for a uniform consensus in the multi-agent system. Particularly, the uniform consensus is achieved in the multi-agent system if all entries of the stochastic multidimensional hyper-matrix are positive. Some numerical results are also presented to support our theoretical results. |
| first_indexed | 2025-11-14T17:06:27Z |
| format | Article |
| id | iium-64769 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T17:06:27Z |
| publishDate | 2018 |
| publisher | L & H Scientific Publishing, LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-647692018-10-04T03:31:16Z http://irep.iium.edu.my/64769/ Mathematical models of nonlinear uniform consensus II Saburov, Mansoor Saburov, Khikmat QA Mathematics TA Engineering (General). Civil engineering (General) This paper is a continuation of our previous studies on nonlinear consensus. We have considered a nonlinear protocol for a structured time-invariant 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 stochastic multidimensional hyper-matrix. We provide a criterion for a uniform consensus in the multi-agent system. Particularly, the uniform consensus is achieved in the multi-agent system if all entries of the stochastic multidimensional hyper-matrix are positive. Some numerical results are also presented to support our theoretical results. L & H Scientific Publishing, LLC 2018 Article PeerReviewed application/pdf en http://irep.iium.edu.my/64769/1/64769_Mathematical%20models%20of%20nonlinear%20uniform%20consensus%20II_article.pdf application/pdf en http://irep.iium.edu.my/64769/2/64769_Mathematical%20models%20of%20nonlinear%20uniform%20consensus%20II_scopus.pdf Saburov, Mansoor and Saburov, Khikmat (2018) Mathematical models of nonlinear uniform consensus II. Journal of Applied Nonlinear Dynamics, 7 (1). ISSN 2164-6457 E-ISSN 2164-6473 https://www.lhscientificpublishing.com/Journals/JAND-Download.aspx?volume=2018&issue=1 10.5890/JAND.2018.03.008 |
| spellingShingle | QA Mathematics TA Engineering (General). Civil engineering (General) Saburov, Mansoor Saburov, Khikmat Mathematical models of nonlinear uniform consensus II |
| title | Mathematical models of nonlinear uniform consensus II |
| title_full | Mathematical models of nonlinear uniform consensus II |
| title_fullStr | Mathematical models of nonlinear uniform consensus II |
| title_full_unstemmed | Mathematical models of nonlinear uniform consensus II |
| title_short | Mathematical models of nonlinear uniform consensus II |
| title_sort | mathematical models of nonlinear uniform consensus ii |
| topic | QA Mathematics TA Engineering (General). Civil engineering (General) |
| url | http://irep.iium.edu.my/64769/ http://irep.iium.edu.my/64769/ http://irep.iium.edu.my/64769/ http://irep.iium.edu.my/64769/1/64769_Mathematical%20models%20of%20nonlinear%20uniform%20consensus%20II_article.pdf http://irep.iium.edu.my/64769/2/64769_Mathematical%20models%20of%20nonlinear%20uniform%20consensus%20II_scopus.pdf |