Leaderless Consensus Control of Nonlinear PIDE-Type Multi-Agent Systems With Time Delays

This paper studies leaderless consensus of semi-linear parabolic partial integro-differential equations based multi-agent systems (PIDEMASs) with time delays. Making use of the information interaction and coordination among the neighboring agents, consensus control of the leaderless PIDEMAS is const...

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Main Authors: Jiashu Dai, Chuanhai Yang, Xu Yan, Jiuru Wang, Kongwei Zhu, Chengdong Yang
Format: Article
Language:English
Published: IEEE 2022-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9718102/
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author Jiashu Dai
Chuanhai Yang
Xu Yan
Jiuru Wang
Kongwei Zhu
Chengdong Yang
author_facet Jiashu Dai
Chuanhai Yang
Xu Yan
Jiuru Wang
Kongwei Zhu
Chengdong Yang
author_sort Jiashu Dai
collection DOAJ
description This paper studies leaderless consensus of semi-linear parabolic partial integro-differential equations based multi-agent systems (PIDEMASs) with time delays. Making use of the information interaction and coordination among the neighboring agents, consensus control of the leaderless PIDEMAS is constructed. Consensus of the leaderless PIDEMAS is analyzed by using a Lyapunov approach. Dealing with time-invariant delays and time-varying delays, two sufficient conditions for consensus of the leaderless PIDEMAS are respectively obtained in terms of LMIs. Two examples illustrate the effectiveness of developed theoretical results.
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spelling doaj.art-42429c17cd144877b9b0a7b94b6450962022-12-22T02:51:48ZengIEEEIEEE Access2169-35362022-01-0110212112121810.1109/ACCESS.2022.31530789718102Leaderless Consensus Control of Nonlinear PIDE-Type Multi-Agent Systems With Time DelaysJiashu Dai0Chuanhai Yang1https://orcid.org/0000-0001-6757-3864Xu Yan2Jiuru Wang3Kongwei Zhu4Chengdong Yang5https://orcid.org/0000-0003-3757-895XSchool of Computer and Information, Anhui Polytechnic University, Wuhu, ChinaSchool of Information Science and Technology, Linyi University, Linyi, ChinaSchool of Information Science and Technology, Linyi University, Linyi, ChinaSchool of Information Science and Technology, Linyi University, Linyi, ChinaSchool of Information Science and Technology, Linyi University, Linyi, ChinaSchool of Information Science and Technology, Linyi University, Linyi, ChinaThis paper studies leaderless consensus of semi-linear parabolic partial integro-differential equations based multi-agent systems (PIDEMASs) with time delays. Making use of the information interaction and coordination among the neighboring agents, consensus control of the leaderless PIDEMAS is constructed. Consensus of the leaderless PIDEMAS is analyzed by using a Lyapunov approach. Dealing with time-invariant delays and time-varying delays, two sufficient conditions for consensus of the leaderless PIDEMAS are respectively obtained in terms of LMIs. Two examples illustrate the effectiveness of developed theoretical results.https://ieeexplore.ieee.org/document/9718102/Consensusmulti-agent systemsLMIsLyapunovpartial integro-differential equations
spellingShingle Jiashu Dai
Chuanhai Yang
Xu Yan
Jiuru Wang
Kongwei Zhu
Chengdong Yang
Leaderless Consensus Control of Nonlinear PIDE-Type Multi-Agent Systems With Time Delays
IEEE Access
Consensus
multi-agent systems
LMIs
Lyapunov
partial integro-differential equations
title Leaderless Consensus Control of Nonlinear PIDE-Type Multi-Agent Systems With Time Delays
title_full Leaderless Consensus Control of Nonlinear PIDE-Type Multi-Agent Systems With Time Delays
title_fullStr Leaderless Consensus Control of Nonlinear PIDE-Type Multi-Agent Systems With Time Delays
title_full_unstemmed Leaderless Consensus Control of Nonlinear PIDE-Type Multi-Agent Systems With Time Delays
title_short Leaderless Consensus Control of Nonlinear PIDE-Type Multi-Agent Systems With Time Delays
title_sort leaderless consensus control of nonlinear pide type multi agent systems with time delays
topic Consensus
multi-agent systems
LMIs
Lyapunov
partial integro-differential equations
url https://ieeexplore.ieee.org/document/9718102/
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AT chuanhaiyang leaderlessconsensuscontrolofnonlinearpidetypemultiagentsystemswithtimedelays
AT xuyan leaderlessconsensuscontrolofnonlinearpidetypemultiagentsystemswithtimedelays
AT jiuruwang leaderlessconsensuscontrolofnonlinearpidetypemultiagentsystemswithtimedelays
AT kongweizhu leaderlessconsensuscontrolofnonlinearpidetypemultiagentsystemswithtimedelays
AT chengdongyang leaderlessconsensuscontrolofnonlinearpidetypemultiagentsystemswithtimedelays