Reaching nonlinear consensus via non-autonomous polynomial stochastic operators
This paper is a continuation of our previous studies on nonlinear consensus which uni�es and generalizes all previous results. We consider a nonlinear protocol for a structured time-varying synchronous multi-agent system. We present an opinion sharing dynamics of the multi-agent system as a trajecto...
| Main Authors: | , |
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| Format: | Proceeding Paper |
| Language: | English English English English |
| Published: |
IOP Publishing
2017
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| Online Access: | http://irep.iium.edu.my/57120/ http://irep.iium.edu.my/57120/1/The%20Nonlinear%20Consensus%20---%20JOP.pdf http://irep.iium.edu.my/57120/7/57120_Reaching%20nonlinear%20concensus_SCOPUS.pdf http://irep.iium.edu.my/57120/13/57120_reaching%20nonlinear%20consensus.pdf http://irep.iium.edu.my/57120/19/57120%20Reaching%20nonlinear%20consensus%20via%20non-autonomous%20WOS.pdf |
| _version_ | 1848784869414404096 |
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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 which uni�es and generalizes all previous results. We consider a nonlinear protocol for a structured time-varying synchronous multi-agent system. We present an opinion sharing dynamics of the multi-agent system as a trajectory of non-autonomous polynomial stochastic operators associated with multidimensional stochastic hyper-matrices. We show that the multi-agent
system eventually reaches to a nonlinear consensus if either one of the following two conditions is satisfied: (i) every member of the group people has a positive subjective distribution on the given task after some revision steps or (ii) all entries of some multidimensional stochastic hyper-matrix are positive. |
| first_indexed | 2025-11-14T16:44:06Z |
| format | Proceeding Paper |
| id | iium-57120 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English English English |
| last_indexed | 2025-11-14T16:44:06Z |
| publishDate | 2017 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-571202019-08-18T07:29:11Z http://irep.iium.edu.my/57120/ Reaching nonlinear consensus via non-autonomous polynomial stochastic operators Saburov, Mansoor Saburov, Khikmat QA Mathematics This paper is a continuation of our previous studies on nonlinear consensus which uni�es and generalizes all previous results. We consider a nonlinear protocol for a structured time-varying synchronous multi-agent system. We present an opinion sharing dynamics of the multi-agent system as a trajectory of non-autonomous polynomial stochastic operators associated with multidimensional stochastic hyper-matrices. We show that the multi-agent system eventually reaches to a nonlinear consensus if either one of the following two conditions is satisfied: (i) every member of the group people has a positive subjective distribution on the given task after some revision steps or (ii) all entries of some multidimensional stochastic hyper-matrix are positive. IOP Publishing 2017-03-12 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/57120/1/The%20Nonlinear%20Consensus%20---%20JOP.pdf application/pdf en http://irep.iium.edu.my/57120/7/57120_Reaching%20nonlinear%20concensus_SCOPUS.pdf application/pdf en http://irep.iium.edu.my/57120/13/57120_reaching%20nonlinear%20consensus.pdf application/pdf en http://irep.iium.edu.my/57120/19/57120%20Reaching%20nonlinear%20consensus%20via%20non-autonomous%20WOS.pdf Saburov, Mansoor and Saburov, Khikmat (2017) Reaching nonlinear consensus via non-autonomous polynomial stochastic operators. In: 37th International Conference on Quantum Probability and Related Topics (QP 2016), 22th-26th Aug. 2016, Kuantan, Pahang. http://iopscience.iop.org/article/10.1088/1742-6596/819/1/012009 |
| spellingShingle | QA Mathematics Saburov, Mansoor Saburov, Khikmat Reaching nonlinear consensus via non-autonomous polynomial stochastic operators |
| title | Reaching nonlinear consensus via non-autonomous polynomial stochastic operators |
| title_full | Reaching nonlinear consensus via non-autonomous polynomial stochastic operators |
| title_fullStr | Reaching nonlinear consensus via non-autonomous polynomial stochastic operators |
| title_full_unstemmed | Reaching nonlinear consensus via non-autonomous polynomial stochastic operators |
| title_short | Reaching nonlinear consensus via non-autonomous polynomial stochastic operators |
| title_sort | reaching nonlinear consensus via non-autonomous polynomial stochastic operators |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/57120/ http://irep.iium.edu.my/57120/ http://irep.iium.edu.my/57120/1/The%20Nonlinear%20Consensus%20---%20JOP.pdf http://irep.iium.edu.my/57120/7/57120_Reaching%20nonlinear%20concensus_SCOPUS.pdf http://irep.iium.edu.my/57120/13/57120_reaching%20nonlinear%20consensus.pdf http://irep.iium.edu.my/57120/19/57120%20Reaching%20nonlinear%20consensus%20via%20non-autonomous%20WOS.pdf |