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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English English English |
| Published: |
Springer
2014
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/38828/ 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_ | 1848781677098172416 |
|---|---|
| author | Saburov, Mansoor Saburov, Khikmat |
| author_facet | Saburov, Mansoor Saburov, Khikmat |
| author_sort | Saburov, Mansoor |
| building | IIUM Repository |
| collection | Online Access |
| 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 | 2025-11-14T15:53:22Z |
| format | Article |
| id | iium-38828 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English English |
| last_indexed | 2025-11-14T15:53:22Z |
| publishDate | 2014 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-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/ http://irep.iium.edu.my/38828/ http://irep.iium.edu.my/38828/ 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 |