Consensus Analysis for High-Order Multi-Agent Systems without or with Delays

This paper studies the consensus problem for a high-order multi-agent systems without or with delays. Consensus protocols, which only depend on the own partial information of agents and partial relative information with its neighbors, are proposed for consensus and quasi-consensus, respectively. Fi...

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Main Authors: Zhengxin Wang, Yang Cao
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2013/269235
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author Zhengxin Wang
Yang Cao
author_facet Zhengxin Wang
Yang Cao
author_sort Zhengxin Wang
collection DOAJ
description This paper studies the consensus problem for a high-order multi-agent systems without or with delays. Consensus protocols, which only depend on the own partial information of agents and partial relative information with its neighbors, are proposed for consensus and quasi-consensus, respectively. Firstly, some lemmas are presented, and then a necessary and sufficient condition for guaranteeing the consensus is established under the consensus protocol without delays. Furthermore, communication delays are considered. Some necessary and sufficient conditions for solving quasi-consensus problem with delays are obtained. Finally, some simulations are given to verify the theoretical results.
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institution Kabale University
issn 1026-0226
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language English
publishDate 2013-01-01
publisher Wiley
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series Discrete Dynamics in Nature and Society
spelling doaj-art-3a5f17f3240547beb25703144a5fa50d2025-02-03T01:00:48ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/269235269235Consensus Analysis for High-Order Multi-Agent Systems without or with DelaysZhengxin Wang0Yang Cao1College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210003, ChinaCollege of Telecommunications and Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing 210003, ChinaThis paper studies the consensus problem for a high-order multi-agent systems without or with delays. Consensus protocols, which only depend on the own partial information of agents and partial relative information with its neighbors, are proposed for consensus and quasi-consensus, respectively. Firstly, some lemmas are presented, and then a necessary and sufficient condition for guaranteeing the consensus is established under the consensus protocol without delays. Furthermore, communication delays are considered. Some necessary and sufficient conditions for solving quasi-consensus problem with delays are obtained. Finally, some simulations are given to verify the theoretical results.http://dx.doi.org/10.1155/2013/269235
spellingShingle Zhengxin Wang
Yang Cao
Consensus Analysis for High-Order Multi-Agent Systems without or with Delays
Discrete Dynamics in Nature and Society
title Consensus Analysis for High-Order Multi-Agent Systems without or with Delays
title_full Consensus Analysis for High-Order Multi-Agent Systems without or with Delays
title_fullStr Consensus Analysis for High-Order Multi-Agent Systems without or with Delays
title_full_unstemmed Consensus Analysis for High-Order Multi-Agent Systems without or with Delays
title_short Consensus Analysis for High-Order Multi-Agent Systems without or with Delays
title_sort consensus analysis for high order multi agent systems without or with delays
url http://dx.doi.org/10.1155/2013/269235
work_keys_str_mv AT zhengxinwang consensusanalysisforhighordermultiagentsystemswithoutorwithdelays
AT yangcao consensusanalysisforhighordermultiagentsystemswithoutorwithdelays