Average Consensus in Networks of Neutral Dynamical Agents with Fixed and Switching Topologies

This paper addresses the average consensus problem of neutral multiagent systems in undirected networks with fixed and switching topologies. For the case of fixed topology, necessary and sufficient conditions to average consensus are established by decoupling the neutral multiagent system in terms o...

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Main Authors: Yingying Wu, Yuangong Sun
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2015/252050
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author Yingying Wu
Yuangong Sun
author_facet Yingying Wu
Yuangong Sun
author_sort Yingying Wu
collection DOAJ
description This paper addresses the average consensus problem of neutral multiagent systems in undirected networks with fixed and switching topologies. For the case of fixed topology, necessary and sufficient conditions to average consensus are established by decoupling the neutral multiagent system in terms of the eigenvalues of the Laplacian matrix. For the case of switching topology, sufficient conditions to average consensus are given in terms of linear matrix inequalities to determine the allowable upper bound of the time-varying communication delay. Finally, two examples are worked out to explain the effectiveness of the theoretical results.
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institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2015-01-01
publisher Wiley
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series Discrete Dynamics in Nature and Society
spelling doaj-art-5d961d8697cc49d7bf5b351bb14366262025-02-03T05:55:16ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/252050252050Average Consensus in Networks of Neutral Dynamical Agents with Fixed and Switching TopologiesYingying Wu0Yuangong Sun1School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, ChinaSchool of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, ChinaThis paper addresses the average consensus problem of neutral multiagent systems in undirected networks with fixed and switching topologies. For the case of fixed topology, necessary and sufficient conditions to average consensus are established by decoupling the neutral multiagent system in terms of the eigenvalues of the Laplacian matrix. For the case of switching topology, sufficient conditions to average consensus are given in terms of linear matrix inequalities to determine the allowable upper bound of the time-varying communication delay. Finally, two examples are worked out to explain the effectiveness of the theoretical results.http://dx.doi.org/10.1155/2015/252050
spellingShingle Yingying Wu
Yuangong Sun
Average Consensus in Networks of Neutral Dynamical Agents with Fixed and Switching Topologies
Discrete Dynamics in Nature and Society
title Average Consensus in Networks of Neutral Dynamical Agents with Fixed and Switching Topologies
title_full Average Consensus in Networks of Neutral Dynamical Agents with Fixed and Switching Topologies
title_fullStr Average Consensus in Networks of Neutral Dynamical Agents with Fixed and Switching Topologies
title_full_unstemmed Average Consensus in Networks of Neutral Dynamical Agents with Fixed and Switching Topologies
title_short Average Consensus in Networks of Neutral Dynamical Agents with Fixed and Switching Topologies
title_sort average consensus in networks of neutral dynamical agents with fixed and switching topologies
url http://dx.doi.org/10.1155/2015/252050
work_keys_str_mv AT yingyingwu averageconsensusinnetworksofneutraldynamicalagentswithfixedandswitchingtopologies
AT yuangongsun averageconsensusinnetworksofneutraldynamicalagentswithfixedandswitchingtopologies