The nonlinear limit control of EDSQOs on finite dimensional simplex
Consensus problems in multi agent systems (MAS) are theoretical aspect convergence of doubly stochastic quadratic operators. This work has presented the dynamic classifications of extreme doubly stochastic quadratic operators (EDSQOs) on finite-dimensional simplex (FDS) based on the limit behaviour...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2019-10-01
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| Series: | Automatika |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/00051144.2019.1632063 |
| _version_ | 1818490874547404800 |
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| author | Rawad Abdulghafor Shahrum Shah Abdullah Sherzod Turaev Raini Hassan |
| author_facet | Rawad Abdulghafor Shahrum Shah Abdullah Sherzod Turaev Raini Hassan |
| author_sort | Rawad Abdulghafor |
| collection | DOAJ |
| description | Consensus problems in multi agent systems (MAS) are theoretical aspect convergence of doubly stochastic quadratic operators. This work has presented the dynamic classifications of extreme doubly stochastic quadratic operators (EDSQOs) on finite-dimensional simplex (FDS) based on the limit behaviour of the trajectories. The limit behaviour of the trajectories of EDSQOs, on FDS is either in state of convergence, or fixed or periodic. This paper aimed at examining the behaviour of these states. The paper modelled the states and proves theoretically the characteristics of each state. The results indicate that convergence operators converge to the centre $\left( {\frac{1}{m}} \right) $, and EDSQOs point are fixed with two or more points whereas periodic states exhibit sinusoidal behaviour. This work has contributed in understanding the limit of EDSQOs of the exterior initial points as fixed and periodic points developed spread attribute toward a fixed point. |
| first_indexed | 2024-12-10T17:23:11Z |
| format | Article |
| id | doaj.art-02a3c297521441258367928aec9cdcb6 |
| institution | Directory Open Access Journal |
| issn | 0005-1144 1848-3380 |
| language | English |
| last_indexed | 2024-12-10T17:23:11Z |
| publishDate | 2019-10-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Automatika |
| spelling | doaj.art-02a3c297521441258367928aec9cdcb62022-12-22T01:39:55ZengTaylor & Francis GroupAutomatika0005-11441848-33802019-10-0160440441210.1080/00051144.2019.16320631632063The nonlinear limit control of EDSQOs on finite dimensional simplexRawad Abdulghafor0Shahrum Shah Abdullah1Sherzod Turaev2Raini Hassan3International Islamic University MalaysiaMalaysia-Japan International Institute of Technology, Universiti Teknologi MalaysiapusInternational University of SarajevoInternational Islamic University MalaysiaConsensus problems in multi agent systems (MAS) are theoretical aspect convergence of doubly stochastic quadratic operators. This work has presented the dynamic classifications of extreme doubly stochastic quadratic operators (EDSQOs) on finite-dimensional simplex (FDS) based on the limit behaviour of the trajectories. The limit behaviour of the trajectories of EDSQOs, on FDS is either in state of convergence, or fixed or periodic. This paper aimed at examining the behaviour of these states. The paper modelled the states and proves theoretically the characteristics of each state. The results indicate that convergence operators converge to the centre $\left( {\frac{1}{m}} \right) $, and EDSQOs point are fixed with two or more points whereas periodic states exhibit sinusoidal behaviour. This work has contributed in understanding the limit of EDSQOs of the exterior initial points as fixed and periodic points developed spread attribute toward a fixed point.http://dx.doi.org/10.1080/00051144.2019.1632063Dynamic classificationsextreme doubly stochastic quadratic operatorsconvergencefixedperiodicfinite-dimensional simplex |
| spellingShingle | Rawad Abdulghafor Shahrum Shah Abdullah Sherzod Turaev Raini Hassan The nonlinear limit control of EDSQOs on finite dimensional simplex Automatika Dynamic classifications extreme doubly stochastic quadratic operators convergence fixed periodic finite-dimensional simplex |
| title | The nonlinear limit control of EDSQOs on finite dimensional simplex |
| title_full | The nonlinear limit control of EDSQOs on finite dimensional simplex |
| title_fullStr | The nonlinear limit control of EDSQOs on finite dimensional simplex |
| title_full_unstemmed | The nonlinear limit control of EDSQOs on finite dimensional simplex |
| title_short | The nonlinear limit control of EDSQOs on finite dimensional simplex |
| title_sort | nonlinear limit control of edsqos on finite dimensional simplex |
| topic | Dynamic classifications extreme doubly stochastic quadratic operators convergence fixed periodic finite-dimensional simplex |
| url | http://dx.doi.org/10.1080/00051144.2019.1632063 |
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