The convergence consensus of multi-agent systems controlled via doubly stochastic quadratic operators

This paper proposed doubly stochastic quadratic operators (DSQOs) for a consensus problem in multi-Agent systems. The proposed scheme uses new nonlinear class model of family of quadratic stochastic operators (QSOs) for convergence consensus. The nonlinear model of QSOs plays an important role for r...

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Main Authors: Abdulghafor, Rawad, Sherzod Turaev, Sherzod, Zeki, Akram M., Shahidi, Farruh
Format: Proceeding Paper
Language:English
English
Published: Institute of Electrical and Electronics Engineers Inc. 2016
Subjects:
Online Access:http://irep.iium.edu.my/51909/
http://irep.iium.edu.my/51909/8/51909-new.pdf
http://irep.iium.edu.my/51909/9/51909-The%20convergence%20consensus%20of%20multi-Agent%20systems%20controlled%20via%20doubly%20stochastic%20quadratic%20operators_SCOPUS.pdf
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author Abdulghafor, Rawad
Sherzod Turaev, Sherzod
Zeki, Akram M.
Shahidi, Farruh
author_facet Abdulghafor, Rawad
Sherzod Turaev, Sherzod
Zeki, Akram M.
Shahidi, Farruh
author_sort Abdulghafor, Rawad
building IIUM Repository
collection Online Access
description This paper proposed doubly stochastic quadratic operators (DSQOs) for a consensus problem in multi-Agent systems. The proposed scheme uses new nonlinear class model of family of quadratic stochastic operators (QSOs) for convergence consensus. The nonlinear model of QSOs plays an important role for reaching consensus. The nonlinear protocols for DSQOs are based on majorization theory. The paper investigates how the multi-Agent systems converge to the optimal values (center) by using DSQOs. The proposed nonlinear model of DSQOs will be compared with the linear model of DeGroot and the nonlinear model of QSOs. Furthermore, we will show that the convergence of DSQOs is superior than DeGroot linear model and low-complex than QSOs nonlinear model.
first_indexed 2025-11-14T16:29:38Z
format Proceeding Paper
id iium-51909
institution International Islamic University Malaysia
institution_category Local University
language English
English
last_indexed 2025-11-14T16:29:38Z
publishDate 2016
publisher Institute of Electrical and Electronics Engineers Inc.
recordtype eprints
repository_type Digital Repository
spelling iium-519092019-10-03T01:18:31Z http://irep.iium.edu.my/51909/ The convergence consensus of multi-agent systems controlled via doubly stochastic quadratic operators Abdulghafor, Rawad Sherzod Turaev, Sherzod Zeki, Akram M. Shahidi, Farruh T Technology (General) This paper proposed doubly stochastic quadratic operators (DSQOs) for a consensus problem in multi-Agent systems. The proposed scheme uses new nonlinear class model of family of quadratic stochastic operators (QSOs) for convergence consensus. The nonlinear model of QSOs plays an important role for reaching consensus. The nonlinear protocols for DSQOs are based on majorization theory. The paper investigates how the multi-Agent systems converge to the optimal values (center) by using DSQOs. The proposed nonlinear model of DSQOs will be compared with the linear model of DeGroot and the nonlinear model of QSOs. Furthermore, we will show that the convergence of DSQOs is superior than DeGroot linear model and low-complex than QSOs nonlinear model. Institute of Electrical and Electronics Engineers Inc. 2016-01-14 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/51909/8/51909-new.pdf application/pdf en http://irep.iium.edu.my/51909/9/51909-The%20convergence%20consensus%20of%20multi-Agent%20systems%20controlled%20via%20doubly%20stochastic%20quadratic%20operators_SCOPUS.pdf Abdulghafor, Rawad and Sherzod Turaev, Sherzod and Zeki, Akram M. and Shahidi, Farruh (2016) The convergence consensus of multi-agent systems controlled via doubly stochastic quadratic operators. In: 1st International Symposium on Agents, Multi-Agent Systems and Robotics, ISAMSR 2015, 18 August 2015 - 19 August 2015, Putrajaya, Malaysia. http://ieeexplore.ieee.org/document/7379131/ 10.1109/ISAMSR.2015.7379131
spellingShingle T Technology (General)
Abdulghafor, Rawad
Sherzod Turaev, Sherzod
Zeki, Akram M.
Shahidi, Farruh
The convergence consensus of multi-agent systems controlled via doubly stochastic quadratic operators
title The convergence consensus of multi-agent systems controlled via doubly stochastic quadratic operators
title_full The convergence consensus of multi-agent systems controlled via doubly stochastic quadratic operators
title_fullStr The convergence consensus of multi-agent systems controlled via doubly stochastic quadratic operators
title_full_unstemmed The convergence consensus of multi-agent systems controlled via doubly stochastic quadratic operators
title_short The convergence consensus of multi-agent systems controlled via doubly stochastic quadratic operators
title_sort convergence consensus of multi-agent systems controlled via doubly stochastic quadratic operators
topic T Technology (General)
url http://irep.iium.edu.my/51909/
http://irep.iium.edu.my/51909/
http://irep.iium.edu.my/51909/
http://irep.iium.edu.my/51909/8/51909-new.pdf
http://irep.iium.edu.my/51909/9/51909-The%20convergence%20consensus%20of%20multi-Agent%20systems%20controlled%20via%20doubly%20stochastic%20quadratic%20operators_SCOPUS.pdf