Reach a nonlinear consensus for MAS via doubly stochastic quadratic operators

This technical note addresses the new nonlinear protocol class of doubly stochastic quadratic operators (DSQOs) for coordination of consensus problem in multi-agent systems (MAS). We derive the conditions for ensuring that every agent reaches consensus on a desired rate of the group’s decision where...

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Main Authors:	Abdulghafor, Rawad Abdulkhaleq Abdulmolla, Turaev, Sherzod, M.Khedher, Akram M. Zeki, Alshaikhli, Imad Fakhri Taha
Format:	Article
Language:	English English English
Published:	Taylor & Francis 2017
Subjects:	QA Mathematics QA75 Electronic computers. Computer science
Online Access:	http://irep.iium.edu.my/57001/ http://irep.iium.edu.my/57001/ http://irep.iium.edu.my/57001/ http://irep.iium.edu.my/57001/1/Reach%20a%20nonlinear%20consensus%20for%20MAS%20via%20doubly%20stochastic%20quadratic%20operators.pdf http://irep.iium.edu.my/57001/7/57001_Reach%20a%20nonlinear%20consensus_SCOPUS.pdf http://irep.iium.edu.my/57001/13/57001%20Reach%20a%20nonlinear%20consensus%20for%20MAS%20via%20doubly%20stochastic%20quadratic%20operators_wos.pdf

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spelling	iium-570012019-05-16T00:29:52Z http://irep.iium.edu.my/57001/ Reach a nonlinear consensus for MAS via doubly stochastic quadratic operators Abdulghafor, Rawad Abdulkhaleq Abdulmolla Turaev, Sherzod M.Khedher, Akram M. Zeki Alshaikhli, Imad Fakhri Taha QA Mathematics QA75 Electronic computers. Computer science This technical note addresses the new nonlinear protocol class of doubly stochastic quadratic operators (DSQOs) for coordination of consensus problem in multi-agent systems (MAS). We derive the conditions for ensuring that every agent reaches consensus on a desired rate of the group’s decision where the group decision value in its agent’s initial statuses varies. Besides that, we investigate a non-linear protocol sub-class of extreme DSQO (EDSQO) to reach a consensus for MAS to a common value with nonlinear low-complexity rules and fast time convergence if the interactions for each agent are not selfish. In addition, to extend the results to reach a consensus and to avoid the selfish case we specify a general class of DSQO for reaching a consensus under any given case of initial states. The case that MAS reach a consensus by DSQO is if each member of the agent group has positive interactions of DSQO (PDSQO) with the others. The convergence of both EDSQO and PDSQO classes is found to be directed towards the centre point. Finally, experimental simulations are given to support the analysis from theoretical aspect. Taylor & Francis 2017 Article PeerReviewed application/pdf en http://irep.iium.edu.my/57001/1/Reach%20a%20nonlinear%20consensus%20for%20MAS%20via%20doubly%20stochastic%20quadratic%20operators.pdf application/pdf en http://irep.iium.edu.my/57001/7/57001_Reach%20a%20nonlinear%20consensus_SCOPUS.pdf application/pdf en http://irep.iium.edu.my/57001/13/57001%20Reach%20a%20nonlinear%20consensus%20for%20MAS%20via%20doubly%20stochastic%20quadratic%20operators_wos.pdf Abdulghafor, Rawad Abdulkhaleq Abdulmolla and Turaev, Sherzod and M.Khedher, Akram M. Zeki and Alshaikhli, Imad Fakhri Taha (2017) Reach a nonlinear consensus for MAS via doubly stochastic quadratic operators. International Journal of Control, 90 (7). pp. 1-29. ISSN 0020-7179 E-ISSN 1366-5820 http://dx.doi.org/10.1080/00207179.2017.1318331 10.1080/00207179.2017.1318331
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English English
topic	QA Mathematics QA75 Electronic computers. Computer science
spellingShingle	QA Mathematics QA75 Electronic computers. Computer science Abdulghafor, Rawad Abdulkhaleq Abdulmolla Turaev, Sherzod M.Khedher, Akram M. Zeki Alshaikhli, Imad Fakhri Taha Reach a nonlinear consensus for MAS via doubly stochastic quadratic operators
description	This technical note addresses the new nonlinear protocol class of doubly stochastic quadratic operators (DSQOs) for coordination of consensus problem in multi-agent systems (MAS). We derive the conditions for ensuring that every agent reaches consensus on a desired rate of the group’s decision where the group decision value in its agent’s initial statuses varies. Besides that, we investigate a non-linear protocol sub-class of extreme DSQO (EDSQO) to reach a consensus for MAS to a common value with nonlinear low-complexity rules and fast time convergence if the interactions for each agent are not selfish. In addition, to extend the results to reach a consensus and to avoid the selfish case we specify a general class of DSQO for reaching a consensus under any given case of initial states. The case that MAS reach a consensus by DSQO is if each member of the agent group has positive interactions of DSQO (PDSQO) with the others. The convergence of both EDSQO and PDSQO classes is found to be directed towards the centre point. Finally, experimental simulations are given to support the analysis from theoretical aspect.
format	Article
author	Abdulghafor, Rawad Abdulkhaleq Abdulmolla Turaev, Sherzod M.Khedher, Akram M. Zeki Alshaikhli, Imad Fakhri Taha
author_facet	Abdulghafor, Rawad Abdulkhaleq Abdulmolla Turaev, Sherzod M.Khedher, Akram M. Zeki Alshaikhli, Imad Fakhri Taha
author_sort	Abdulghafor, Rawad Abdulkhaleq Abdulmolla
title	Reach a nonlinear consensus for MAS via doubly stochastic quadratic operators
title_short	Reach a nonlinear consensus for MAS via doubly stochastic quadratic operators
title_full	Reach a nonlinear consensus for MAS via doubly stochastic quadratic operators
title_fullStr	Reach a nonlinear consensus for MAS via doubly stochastic quadratic operators
title_full_unstemmed	Reach a nonlinear consensus for MAS via doubly stochastic quadratic operators
title_sort	reach a nonlinear consensus for mas via doubly stochastic quadratic operators
publisher	Taylor & Francis
publishDate	2017
url	http://irep.iium.edu.my/57001/ http://irep.iium.edu.my/57001/ http://irep.iium.edu.my/57001/ http://irep.iium.edu.my/57001/1/Reach%20a%20nonlinear%20consensus%20for%20MAS%20via%20doubly%20stochastic%20quadratic%20operators.pdf http://irep.iium.edu.my/57001/7/57001_Reach%20a%20nonlinear%20consensus_SCOPUS.pdf http://irep.iium.edu.my/57001/13/57001%20Reach%20a%20nonlinear%20consensus%20for%20MAS%20via%20doubly%20stochastic%20quadratic%20operators_wos.pdf
first_indexed	2023-09-18T21:20:31Z
last_indexed	2023-09-18T21:20:31Z
_version_	1777411850171842560

Reach a nonlinear consensus for MAS via doubly stochastic quadratic operators

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