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...

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Main Authors:	Abdulghafor, Rawad, Abdullah, Shahrum Shah, Turaev, Sherzod, Hassan, Raini
Format:	Article
Language:	English English
Published:	Taylor & Francis 2019
Subjects:	TA168 Systems engineering
Online Access:	http://irep.iium.edu.my/74579/ http://irep.iium.edu.my/74579/ http://irep.iium.edu.my/74579/7/74579%20The%20nonlinear%20limit%20control%20of%20EDSQOs.pdf http://irep.iium.edu.my/74579/8/74579%20The%20nonlinear%20limit%20control%20of%20EDSQOs%20SCOPUS.pdf

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spelling	iium-745792019-10-07T08:34:39Z http://irep.iium.edu.my/74579/ The nonlinear limit control of EDSQOs on finite dimensional simplex Abdulghafor, Rawad Abdullah, Shahrum Shah Turaev, Sherzod Hassan, Raini TA168 Systems engineering 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 (1/m), 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. Taylor & Francis 2019-10 Article PeerReviewed application/pdf en http://irep.iium.edu.my/74579/7/74579%20The%20nonlinear%20limit%20control%20of%20EDSQOs.pdf application/pdf en http://irep.iium.edu.my/74579/8/74579%20The%20nonlinear%20limit%20control%20of%20EDSQOs%20SCOPUS.pdf Abdulghafor, Rawad and Abdullah, Shahrum Shah and Turaev, Sherzod and Hassan, Raini (2019) The nonlinear limit control of EDSQOs on finite dimensional simplex. Journal for Control, Measurement, Electronics, Computing and Communications, 60 (4). pp. 405-413. ISSN 0005-1144 E-ISSN 1848-3380 https://www.tandfonline.com/doi/full/10.1080/00051144.2019.1632063
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English
topic	TA168 Systems engineering
spellingShingle	TA168 Systems engineering Abdulghafor, Rawad Abdullah, Shahrum Shah Turaev, Sherzod Hassan, Raini The nonlinear limit control of EDSQOs on finite dimensional simplex
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 (1/m), 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.
format	Article
author	Abdulghafor, Rawad Abdullah, Shahrum Shah Turaev, Sherzod Hassan, Raini
author_facet	Abdulghafor, Rawad Abdullah, Shahrum Shah Turaev, Sherzod Hassan, Raini
author_sort	Abdulghafor, Rawad
title	The nonlinear limit control of EDSQOs on finite dimensional simplex
title_short	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_sort	nonlinear limit control of edsqos on finite dimensional simplex
publisher	Taylor & Francis
publishDate	2019
url	http://irep.iium.edu.my/74579/ http://irep.iium.edu.my/74579/ http://irep.iium.edu.my/74579/7/74579%20The%20nonlinear%20limit%20control%20of%20EDSQOs.pdf http://irep.iium.edu.my/74579/8/74579%20The%20nonlinear%20limit%20control%20of%20EDSQOs%20SCOPUS.pdf
first_indexed	2023-09-18T21:45:34Z
last_indexed	2023-09-18T21:45:34Z
_version_	1777413426439520256

The nonlinear limit control of EDSQOs on finite dimensional simplex

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