Group Consensus for Discrete-Time Heterogeneous Multiagent Systems with Input and Communication Delays

Group consensus seeking is investigated for a class of discrete-time heterogeneous multiagent systems composed of first-order and second-order agents with both communication and input time delays. Considering two types of system topologies, novel protocols based on the competitive and cooperative re...

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Main Authors: Yiliu Jiang, Lianghao Ji, Xingcheng Pu, Qun Liu
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2018/8319537
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author Yiliu Jiang
Lianghao Ji
Xingcheng Pu
Qun Liu
author_facet Yiliu Jiang
Lianghao Ji
Xingcheng Pu
Qun Liu
author_sort Yiliu Jiang
collection DOAJ
description Group consensus seeking is investigated for a class of discrete-time heterogeneous multiagent systems composed of first-order and second-order agents with both communication and input time delays. Considering two types of system topologies, novel protocols based on the competitive and cooperative relationships among the agents are presented, respectively. By matrix theory and frequency domain analysis method, the sufficient conditions solving consensus problem are obtained. The results show that the achievement of group consensus is bound up with the input time delays, coupling weights between the agents and the system’s control parameters, but it is irrelevant to the communication delays. Finally, numerical simulations are presented to illustrate the correctness of the theoretical results.
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institution Kabale University
issn 1076-2787
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language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-aae88cdd0ac94c8792ff16e00a5d5e172025-08-20T03:39:40ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/83195378319537Group Consensus for Discrete-Time Heterogeneous Multiagent Systems with Input and Communication DelaysYiliu Jiang0Lianghao Ji1Xingcheng Pu2Qun Liu3Chongqing Key Laboratory of Computational Intelligence, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaChongqing Key Laboratory of Computational Intelligence, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaSchool of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaChongqing Key Laboratory of Computational Intelligence, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaGroup consensus seeking is investigated for a class of discrete-time heterogeneous multiagent systems composed of first-order and second-order agents with both communication and input time delays. Considering two types of system topologies, novel protocols based on the competitive and cooperative relationships among the agents are presented, respectively. By matrix theory and frequency domain analysis method, the sufficient conditions solving consensus problem are obtained. The results show that the achievement of group consensus is bound up with the input time delays, coupling weights between the agents and the system’s control parameters, but it is irrelevant to the communication delays. Finally, numerical simulations are presented to illustrate the correctness of the theoretical results.http://dx.doi.org/10.1155/2018/8319537
spellingShingle Yiliu Jiang
Lianghao Ji
Xingcheng Pu
Qun Liu
Group Consensus for Discrete-Time Heterogeneous Multiagent Systems with Input and Communication Delays
Complexity
title Group Consensus for Discrete-Time Heterogeneous Multiagent Systems with Input and Communication Delays
title_full Group Consensus for Discrete-Time Heterogeneous Multiagent Systems with Input and Communication Delays
title_fullStr Group Consensus for Discrete-Time Heterogeneous Multiagent Systems with Input and Communication Delays
title_full_unstemmed Group Consensus for Discrete-Time Heterogeneous Multiagent Systems with Input and Communication Delays
title_short Group Consensus for Discrete-Time Heterogeneous Multiagent Systems with Input and Communication Delays
title_sort group consensus for discrete time heterogeneous multiagent systems with input and communication delays
url http://dx.doi.org/10.1155/2018/8319537
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AT lianghaoji groupconsensusfordiscretetimeheterogeneousmultiagentsystemswithinputandcommunicationdelays
AT xingchengpu groupconsensusfordiscretetimeheterogeneousmultiagentsystemswithinputandcommunicationdelays
AT qunliu groupconsensusfordiscretetimeheterogeneousmultiagentsystemswithinputandcommunicationdelays