Mathematical models of nonlinear uniform consensus
We consider a nonlinear protocol for a structured time-invariant and synchronous multi-agent system. In the multi-agent system, we present opinion sharing dynamics as a trajectory of a cubic triple stochastic matrix. We provide a criterion for a uniform consensus of the multi-agent system. We show...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English English |
| Published: |
Science Society of Thailand under Royal Patronage
2014
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/39451/ http://irep.iium.edu.my/39451/1/Uniform_Consensus_---_SA.pdf http://irep.iium.edu.my/39451/4/39451_Mathematical%20models%20of%20nonlinear%20uniform%20consensus_SCOPUS.pdf |
| _version_ | 1848781786735181824 |
|---|---|
| author | Saburov, Mansoor Saburov, Khikmat |
| author_facet | Saburov, Mansoor Saburov, Khikmat |
| author_sort | Saburov, Mansoor |
| building | IIUM Repository |
| collection | Online Access |
| description | We consider a nonlinear protocol for a structured time-invariant and synchronous multi-agent system. In the
multi-agent system, we present opinion sharing dynamics as a trajectory of a cubic triple stochastic matrix. We provide
a criterion for a uniform consensus of the multi-agent system. We show that the multi-agent system eventually reaches 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 the given cubic triple stochastic matrix are positive. |
| first_indexed | 2025-11-14T15:55:06Z |
| format | Article |
| id | iium-39451 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T15:55:06Z |
| publishDate | 2014 |
| publisher | Science Society of Thailand under Royal Patronage |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-394512017-09-20T08:25:12Z http://irep.iium.edu.my/39451/ Mathematical models of nonlinear uniform consensus Saburov, Mansoor Saburov, Khikmat QA Mathematics We consider a nonlinear protocol for a structured time-invariant and synchronous multi-agent system. In the multi-agent system, we present opinion sharing dynamics as a trajectory of a cubic triple stochastic matrix. We provide a criterion for a uniform consensus of the multi-agent system. We show that the multi-agent system eventually reaches 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 the given cubic triple stochastic matrix are positive. Science Society of Thailand under Royal Patronage 2014-08-01 Article PeerReviewed application/pdf en http://irep.iium.edu.my/39451/1/Uniform_Consensus_---_SA.pdf application/pdf en http://irep.iium.edu.my/39451/4/39451_Mathematical%20models%20of%20nonlinear%20uniform%20consensus_SCOPUS.pdf Saburov, Mansoor and Saburov, Khikmat (2014) Mathematical models of nonlinear uniform consensus. ScienceAsia, 40 (4). pp. 306-312. ISSN 1513-1874 http://www.scienceasia.org/ 10.2306/scienceasia1513-1874.2014.40.306 |
| spellingShingle | QA Mathematics Saburov, Mansoor Saburov, Khikmat Mathematical models of nonlinear uniform consensus |
| title | Mathematical models of nonlinear uniform consensus |
| title_full | Mathematical models of nonlinear uniform consensus |
| title_fullStr | Mathematical models of nonlinear uniform consensus |
| title_full_unstemmed | Mathematical models of nonlinear uniform consensus |
| title_short | Mathematical models of nonlinear uniform consensus |
| title_sort | mathematical models of nonlinear uniform consensus |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/39451/ http://irep.iium.edu.my/39451/ http://irep.iium.edu.my/39451/ http://irep.iium.edu.my/39451/1/Uniform_Consensus_---_SA.pdf http://irep.iium.edu.my/39451/4/39451_Mathematical%20models%20of%20nonlinear%20uniform%20consensus_SCOPUS.pdf |