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

Autor: Yingwei Zhang, Xu-Guang Li, Silviu-Iulian Niculescu, Yu-Jiao Chen, Arben Cela
Přispěvatelé: School of Information Science & Engineering, Northeastern University Shenyang, Northeastern University [Shenyang], Laboratoire des signaux et systèmes (L2S), CentraleSupélec-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Dynamical Interconnected Systems in COmplex Environments (DISCO), Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire des signaux et systèmes (L2S), CentraleSupélec-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-CentraleSupélec-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Laboratoire Images, Signaux et Systèmes Intelligents (LISSI), Université Paris-Est Créteil Val-de-Marne - Paris 12 (UPEC UP12)
Jazyk: angličtina
Rok vydání: 2021
Předmět:
0209 industrial biotechnology
General Computer Science
Computer science
frequency-sweeping approach
02 engineering and technology
Network topology
Stability (probability)
consensus of multi-agent systems
020901 industrial engineering & automation
Exponential stability
Consensus
Control theory
0502 economics and business
General Materials Science
Consensus of multi-agent systems
Pointwise
Car-following systems
complete stability problem
050210 logistics & transportation
Ring (mathematics)
Multi-agent system
uniformly distributed delay systems (UDDSs)
05 social sciences
General Engineering
TK1-9971
[INFO.INFO-MA]Computer Science [cs]/Multiagent Systems [cs.MA]
Electrical engineering. Electronics. Nuclear engineering
Focus (optics)
[SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing
Zdroj: IEEE Access, Vol 9, Pp 69747-69755 (2021)
IEEE Access
IEEE Access, IEEE, In press, ⟨10.1109/ACCESS.2021.3077513⟩
IEEE Access, 2021, ⟨10.1109/ACCESS.2021.3077513⟩
ISSN: 2169-3536
DOI: 10.1109/ACCESS.2021.3077513⟩
Popis: International audience; 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.
Databáze: OpenAIRE