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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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/ |
work_keys_str_mv |
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1721440851541884928 |