Stability Analysis of Car-Following Systems With Uniformly Distributed Delays Using Frequency-Sweeping Approach

In this paper, the stability problem of a class of deterministic car-following systems with uniformly distributed delays is addressed with a particular focus on the effects induced by the delay parameters on the stability. To perform such an analysis, the frequency-sweeping approach introduced recen...

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Main Authors: Yu-Jiao Chen, Xu-Guang Li, Yingwei Zhang, Silviu-Iulian Niculescu, Arben Cela
Format: Article
Language:English
Published: IEEE 2021-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9422718/
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spelling doaj-7f5c05c1fa804d71b1d6c20a481a553e2021-05-14T23:00:43ZengIEEEIEEE Access2169-35362021-01-019697476975510.1109/ACCESS.2021.30775139422718Stability Analysis of Car-Following Systems With Uniformly Distributed Delays Using Frequency-Sweeping ApproachYu-Jiao Chen0https://orcid.org/0000-0001-7816-3502Xu-Guang Li1https://orcid.org/0000-0003-1739-5371Yingwei Zhang2https://orcid.org/0000-0001-9736-6583Silviu-Iulian Niculescu3https://orcid.org/0000-0002-3444-2566Arben Cela4https://orcid.org/0000-0001-5708-1743School of Information Science and Engineering, Northeastern University, Shenyang, ChinaSchool of Information Science and Engineering, Northeastern University, Shenyang, ChinaSchool of Information Science and Engineering, Northeastern University, Shenyang, ChinaLaboratoire des Signaux et Systèmes (L2S), CNRS, CentraleSupélec, Inria Team “DISCO”, University Paris-Saclays, Gif-sur-Yvette, FranceLaboratoire Images, Signaux et Systèmes Intelligents (LISSI), ESIEE Paris, University Gustave Eiffel, Champs-sur-Marne, FranceIn this paper, the stability problem of a class of deterministic car-following systems with uniformly distributed delays is addressed with a particular focus on the effects induced by the delay parameters on the stability. To perform such an analysis, the frequency-sweeping approach introduced recently by the authors will be adopted. The corresponding results are easy to derive and to implement. As a byproduct of the analysis, the complete characterization of the delay intervals guaranteeing stability is explicitly derived. Two case studies with different network topology types (linear and ring configurations) are studied in detail. The stability problem of car-following systems under consideration is a specific consensus problem of multi-agent systems. Such examples allow illustrating the approach as well as the positive effect of using uniformly distributed delay in the modeling (compared with the commonly-used pointwise delay). The derived results show that the approach is effective and may be adopted to more general consensus problems for multi-agent systems.https://ieeexplore.ieee.org/document/9422718/Car-following systemsuniformly distributed delay systems (UDDSs)complete stability problemfrequency-sweeping approachconsensus of multi-agent systems
collection DOAJ
language English
format Article
sources DOAJ
author Yu-Jiao Chen
Xu-Guang Li
Yingwei Zhang
Silviu-Iulian Niculescu
Arben Cela
spellingShingle Yu-Jiao Chen
Xu-Guang Li
Yingwei Zhang
Silviu-Iulian Niculescu
Arben Cela
Stability Analysis of Car-Following Systems With Uniformly Distributed Delays Using Frequency-Sweeping Approach
IEEE Access
Car-following systems
uniformly distributed delay systems (UDDSs)
complete stability problem
frequency-sweeping approach
consensus of multi-agent systems
author_facet Yu-Jiao Chen
Xu-Guang Li
Yingwei Zhang
Silviu-Iulian Niculescu
Arben Cela
author_sort Yu-Jiao Chen
title Stability Analysis of Car-Following Systems With Uniformly Distributed Delays Using Frequency-Sweeping Approach
title_short Stability Analysis of Car-Following Systems With Uniformly Distributed Delays Using Frequency-Sweeping Approach
title_full Stability Analysis of Car-Following Systems With Uniformly Distributed Delays Using Frequency-Sweeping Approach
title_fullStr Stability Analysis of Car-Following Systems With Uniformly Distributed Delays Using Frequency-Sweeping Approach
title_full_unstemmed Stability Analysis of Car-Following Systems With Uniformly Distributed Delays Using Frequency-Sweeping Approach
title_sort stability analysis of car-following systems with uniformly distributed delays using frequency-sweeping approach
publisher IEEE
series IEEE Access
issn 2169-3536
publishDate 2021-01-01
description In this paper, the stability problem of a class of deterministic car-following systems with uniformly distributed delays is addressed with a particular focus on the effects induced by the delay parameters on the stability. To perform such an analysis, the frequency-sweeping approach introduced recently by the authors will be adopted. The corresponding results are easy to derive and to implement. As a byproduct of the analysis, the complete characterization of the delay intervals guaranteeing stability is explicitly derived. Two case studies with different network topology types (linear and ring configurations) are studied in detail. The stability problem of car-following systems under consideration is a specific consensus problem of multi-agent systems. Such examples allow illustrating the approach as well as the positive effect of using uniformly distributed delay in the modeling (compared with the commonly-used pointwise delay). The derived results show that the approach is effective and may be adopted to more general consensus problems for multi-agent systems.
topic Car-following systems
uniformly distributed delay systems (UDDSs)
complete stability problem
frequency-sweeping approach
consensus of multi-agent systems
url https://ieeexplore.ieee.org/document/9422718/
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AT xuguangli stabilityanalysisofcarfollowingsystemswithuniformlydistributeddelaysusingfrequencysweepingapproach
AT yingweizhang stabilityanalysisofcarfollowingsystemswithuniformlydistributeddelaysusingfrequencysweepingapproach
AT silviuiulianniculescu stabilityanalysisofcarfollowingsystemswithuniformlydistributeddelaysusingfrequencysweepingapproach
AT arbencela stabilityanalysisofcarfollowingsystemswithuniformlydistributeddelaysusingfrequencysweepingapproach
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