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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Wiley
2018-01-01
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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 |
work_keys_str_mv | AT junliu consensusofmultiintegralfractionalordermultiagentsystemswithnonuniformtimedelays AT weichen consensusofmultiintegralfractionalordermultiagentsystemswithnonuniformtimedelays AT kaiyuqin consensusofmultiintegralfractionalordermultiagentsystemswithnonuniformtimedelays AT pingli consensusofmultiintegralfractionalordermultiagentsystemswithnonuniformtimedelays |