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Stability Analysis of a Car-Following Model with Effect of Driver’s Memory Delay in Connected Vehicle Environment

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Abstract

The paper investigated the stability of a car-following model with the effect of driver’s memory delay on the basis of synchronization theory of complex network with time delay in connected vehicle environment. By using the Lyapunov stability theory and designing the appropriate controller, the car-following model with the effect of driver’s memory delay is quickly stabilized and the stability condition of the model is obtained. Besides, based on the adaptive \(H_{\infty }\) synchronization theory for complex networks with time delay, the stability of car-following model with the effect of driver’s memory delay is studied when the vehicles are subjected to random external disturbance. Finally, the numerical simulation is carried out by using MATLAB simulation technology; the results show that the car-following model with the effect of driver’s memory delay is rapidly stabilizing and congestion phenomenon is effectively alleviated under the controller designed.

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Authors and Affiliations

  1. School of Traffic and Transportation, Lanzhou Jiaotong University, Lanzhou, 730070, Gansu, China

    Wen-Ju Du & Yin-Zhen Li

  2. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou, 730070, Gansu, China

    Jian-Gang Zhang

Authors
  1. Wen-Ju Du
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  2. Yin-Zhen Li
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Contributions

W.-J. Du contributed to algorithm design, theoretical proof and wrote the paper. Y.-Z. Li finished the performed the experiments. J.-G. Zhang is in charge of the correctness of paper writing.

Corresponding author

Correspondence to Wen-Ju Du.

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Conflict of interest

The authors declare that they have no conflicts of interest.

Additional information

This work was supported by the National Natural Science Foundation of China (No. 72361018) and the Joint Innovation Fund Project of Lanzhou Jiaotong University and Tianjin University (No. LH2023006).

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Du, WJ., Li, YZ. & Zhang, JG. Stability Analysis of a Car-Following Model with Effect of Driver’s Memory Delay in Connected Vehicle Environment. J. Oper. Res. Soc. China (2023). https://doi.org/10.1007/s40305-023-00508-x

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  • DOI: https://doi.org/10.1007/s40305-023-00508-x

Keywords

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