Consensus of Multi-Integral Fractional-Order Multiagent Systems with Nonuniform Time-Delays

Consensus of fractional-order multiagent systems (FOMASs) with single integral has been wildly studied. However, the dynamics with multiple integral (especially double integral to sextuple integral) also exist in FOMASs, and they are rarely studied at present. In this paper, consensus problems for m...

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Main Authors: Jun Liu, Wei Chen, Kaiyu Qin, Ping Li
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2018/8154230
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author Jun Liu
Wei Chen
Kaiyu Qin
Ping Li
author_facet Jun Liu
Wei Chen
Kaiyu Qin
Ping Li
author_sort Jun Liu
collection DOAJ
description Consensus of fractional-order multiagent systems (FOMASs) with single integral has been wildly studied. However, the dynamics with multiple integral (especially double integral to sextuple integral) also exist in FOMASs, and they are rarely studied at present. In this paper, consensus problems for multi-integral fractional-order multiagent systems (MIFOMASs) with nonuniform time-delays are addressed. The consensus conditions for MIFOMASs are obtained by a novel frequency-domain method which properly eliminates consensus problems of the systems associated with nonuniform time-delays. Besides, the method revealed in this paper is applicable to classical high-order multiagent systems which is a special case of MIFOMASs. Finally, several numerical simulations with different parameters are performed to validate the correctness of the results.
format Article
id doaj-art-393d1d737061430386f08f83cc75d156
institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-393d1d737061430386f08f83cc75d1562025-02-03T01:32:50ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/81542308154230Consensus of Multi-Integral Fractional-Order Multiagent Systems with Nonuniform Time-DelaysJun Liu0Wei Chen1Kaiyu Qin2Ping Li3School of Control Engineering, Chengdu University of Information Technology, Chengdu 610225, ChinaSchool of Control Engineering, Chengdu University of Information Technology, Chengdu 610225, ChinaSchool of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Control Engineering, Chengdu University of Information Technology, Chengdu 610225, ChinaConsensus of fractional-order multiagent systems (FOMASs) with single integral has been wildly studied. However, the dynamics with multiple integral (especially double integral to sextuple integral) also exist in FOMASs, and they are rarely studied at present. In this paper, consensus problems for multi-integral fractional-order multiagent systems (MIFOMASs) with nonuniform time-delays are addressed. The consensus conditions for MIFOMASs are obtained by a novel frequency-domain method which properly eliminates consensus problems of the systems associated with nonuniform time-delays. Besides, the method revealed in this paper is applicable to classical high-order multiagent systems which is a special case of MIFOMASs. Finally, several numerical simulations with different parameters are performed to validate the correctness of the results.http://dx.doi.org/10.1155/2018/8154230
spellingShingle Jun Liu
Wei Chen
Kaiyu Qin
Ping Li
Consensus of Multi-Integral Fractional-Order Multiagent Systems with Nonuniform Time-Delays
Complexity
title Consensus of Multi-Integral Fractional-Order Multiagent Systems with Nonuniform Time-Delays
title_full Consensus of Multi-Integral Fractional-Order Multiagent Systems with Nonuniform Time-Delays
title_fullStr Consensus of Multi-Integral Fractional-Order Multiagent Systems with Nonuniform Time-Delays
title_full_unstemmed Consensus of Multi-Integral Fractional-Order Multiagent Systems with Nonuniform Time-Delays
title_short Consensus of Multi-Integral Fractional-Order Multiagent Systems with Nonuniform Time-Delays
title_sort consensus of multi integral fractional order multiagent systems with nonuniform time delays
url http://dx.doi.org/10.1155/2018/8154230
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AT weichen consensusofmultiintegralfractionalordermultiagentsystemswithnonuniformtimedelays
AT kaiyuqin consensusofmultiintegralfractionalordermultiagentsystemswithnonuniformtimedelays
AT pingli consensusofmultiintegralfractionalordermultiagentsystemswithnonuniformtimedelays