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Study on varying time delay on traffic stability in a novel lattice hydrodynamic model

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  • Zhang, Geng

Abstract

A novel traffic lattice hydrodynamic model with consideration of varying time delay is proposed. The asymptotic stability condition of the new model is derived in the form of linear matrix inequality through Lyapunov stability theory and the traffic disturbance appearing in the new model can be suppressed under this stable condition. Numerical simulation shows that varying time delay affects the stability of traffic flow importantly and the traffic flow with consideration of varying time delay is more likely to develop into traffic congestion.

Suggested Citation

  • Zhang, Geng, 2018. "Study on varying time delay on traffic stability in a novel lattice hydrodynamic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 1103-1112.
    • Handle: RePEc:eee:phsmap:v:505:y:2018:i:c:p:1103-1112
    DOI: 10.1016/j.physa.2018.04.067
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    Citations

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    Cited by:

    1. Zhai, Cong & Wu, Weitiao & Xiao, Yingping & Luo, Qiang & Zhang, Yusong, 2022. "Modeling bidirectional pedestrian flow with the perceived uncertainty of preceding pedestrian information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).
    2. Chang, Yinyin & He, Zhiting & Cheng, Rongjun, 2019. "Analysis of the historical time integral form of relative flux and feedback control in an extended lattice hydrodynamic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 326-334.
    3. Zhang, Yu & Wang, Sha & Pan, Dong-bo & Zhang, Geng, 2021. "Stability analysis for a new lattice hydrodynamic model with time-varying delay in sensing traffic flux," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    4. Peng, Guanghan & Jia, Teti & Kuang, Hua & Tan, Huili, 2022. "Energy consumption in a new lattice hydrodynamic model based on the delayed effect of collaborative information transmission under V2X environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    5. Yifan Pan & Yongjiang Wang & Baobin Miao & Rongjun Cheng, 2022. "Stabilization Strategy of a Novel Car-Following Model with Time Delay and Memory Effect of the Driver," Sustainability, MDPI, vol. 14(12), pages 1-20, June.
    6. Peng, Guanghan & Wang, Wanlin & Tan, Huili, 2023. "Chaotic jam and phase transitions in heterogeneous lattice model integrating the delay characteristics difference with passing effect under autonomous and human-driven vehicles environment," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).

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