Nonlinear consensus protocol modified from doubly stochastic quadratic operators in networks of dynamic agents

This article explores nonlinear convergence to limit the effects of the consensus problem that usually occurs in multi-agent systems. Most of the existing research essentially considers the outline of linear protocols, using complex mathematical equations in various orders. In this work, however,...

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Main Authors:	Abdulghafor, Rawad Abdulkhaleq Abdulmolla, Almotair, Sultan, Almohamedh, Hamad, Turaev, Sherzod, Almutair, Badr
Format:	Article
Language:	English English English
Published:	MDPI 2019
Subjects:	T10.5 Communication of technical information
Online Access:	http://irep.iium.edu.my/77159/ http://irep.iium.edu.my/77159/ http://irep.iium.edu.my/77159/ http://irep.iium.edu.my/77159/1/abdulghafor2019MDSQO.pdf http://irep.iium.edu.my/77159/7/77159_Nonlinear%20consensus%20protocol%20modified_scopus.pdf http://irep.iium.edu.my/77159/8/77159_Nonlinear%20consensus%20protocol%20modified_wos.pdf

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spelling	iium-771592020-03-17T01:50:05Z http://irep.iium.edu.my/77159/ Nonlinear consensus protocol modified from doubly stochastic quadratic operators in networks of dynamic agents Abdulghafor, Rawad Abdulkhaleq Abdulmolla Almotair, Sultan Almohamedh, Hamad Turaev, Sherzod Almutair, Badr T10.5 Communication of technical information This article explores nonlinear convergence to limit the effects of the consensus problem that usually occurs in multi-agent systems. Most of the existing research essentially considers the outline of linear protocols, using complex mathematical equations in various orders. In this work, however, we designed and developed an alternative nonlinear protocol based on simple and effective mathematical approaches. The designed protocol in this sense was modified from the Doubly Stochastic Quadratic Operators (DSQO) and was aimed at resolving consensus problems. Therefore, we called it Modified Doubly Stochastic Quadratic Operators (MDSQO). The protocol was derived in the context of coordinated systems to overcome the consensus issue related to multiagent systems. In the process, we proved that by using the proposed nonlinear protocol, the consensus could be reached via a common agreement among the agents (average consensus) in a fast and easy fashion without losing any initial status. Moreover, the investigated nonlinear protocol of MDSQO realized the reaching consensus always as well as DSQO in some cases, which could not reach consensus. Finally, simulation results were given to prove the validity of the theoretical analysis. MDPI 2019-12-15 Article PeerReviewed application/pdf en http://irep.iium.edu.my/77159/1/abdulghafor2019MDSQO.pdf application/pdf en http://irep.iium.edu.my/77159/7/77159_Nonlinear%20consensus%20protocol%20modified_scopus.pdf application/pdf en http://irep.iium.edu.my/77159/8/77159_Nonlinear%20consensus%20protocol%20modified_wos.pdf Abdulghafor, Rawad Abdulkhaleq Abdulmolla and Almotair, Sultan and Almohamedh, Hamad and Turaev, Sherzod and Almutair, Badr (2019) Nonlinear consensus protocol modified from doubly stochastic quadratic operators in networks of dynamic agents. Symmetry, 11 (12). pp. 1-22. E-ISSN 2073-8994 https://www.mdpi.com/2073-8994/11/12/1519 10.3390/sym11121519
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English English
topic	T10.5 Communication of technical information
spellingShingle	T10.5 Communication of technical information Abdulghafor, Rawad Abdulkhaleq Abdulmolla Almotair, Sultan Almohamedh, Hamad Turaev, Sherzod Almutair, Badr Nonlinear consensus protocol modified from doubly stochastic quadratic operators in networks of dynamic agents
description	This article explores nonlinear convergence to limit the effects of the consensus problem that usually occurs in multi-agent systems. Most of the existing research essentially considers the outline of linear protocols, using complex mathematical equations in various orders. In this work, however, we designed and developed an alternative nonlinear protocol based on simple and effective mathematical approaches. The designed protocol in this sense was modified from the Doubly Stochastic Quadratic Operators (DSQO) and was aimed at resolving consensus problems. Therefore, we called it Modified Doubly Stochastic Quadratic Operators (MDSQO). The protocol was derived in the context of coordinated systems to overcome the consensus issue related to multiagent systems. In the process, we proved that by using the proposed nonlinear protocol, the consensus could be reached via a common agreement among the agents (average consensus) in a fast and easy fashion without losing any initial status. Moreover, the investigated nonlinear protocol of MDSQO realized the reaching consensus always as well as DSQO in some cases, which could not reach consensus. Finally, simulation results were given to prove the validity of the theoretical analysis.
format	Article
author	Abdulghafor, Rawad Abdulkhaleq Abdulmolla Almotair, Sultan Almohamedh, Hamad Turaev, Sherzod Almutair, Badr
author_facet	Abdulghafor, Rawad Abdulkhaleq Abdulmolla Almotair, Sultan Almohamedh, Hamad Turaev, Sherzod Almutair, Badr
author_sort	Abdulghafor, Rawad Abdulkhaleq Abdulmolla
title	Nonlinear consensus protocol modified from doubly stochastic quadratic operators in networks of dynamic agents
title_short	Nonlinear consensus protocol modified from doubly stochastic quadratic operators in networks of dynamic agents
title_full	Nonlinear consensus protocol modified from doubly stochastic quadratic operators in networks of dynamic agents
title_fullStr	Nonlinear consensus protocol modified from doubly stochastic quadratic operators in networks of dynamic agents
title_full_unstemmed	Nonlinear consensus protocol modified from doubly stochastic quadratic operators in networks of dynamic agents
title_sort	nonlinear consensus protocol modified from doubly stochastic quadratic operators in networks of dynamic agents
publisher	MDPI
publishDate	2019
url	http://irep.iium.edu.my/77159/ http://irep.iium.edu.my/77159/ http://irep.iium.edu.my/77159/ http://irep.iium.edu.my/77159/1/abdulghafor2019MDSQO.pdf http://irep.iium.edu.my/77159/7/77159_Nonlinear%20consensus%20protocol%20modified_scopus.pdf http://irep.iium.edu.my/77159/8/77159_Nonlinear%20consensus%20protocol%20modified_wos.pdf
first_indexed	2023-09-18T21:48:52Z
last_indexed	2023-09-18T21:48:52Z
_version_	1777413634502164480

Nonlinear consensus protocol modified from doubly stochastic quadratic operators in networks of dynamic agents

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