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

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  • 1 School of Traffic and Transportation, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China;
    2 School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China

Received date: 2022-09-02

  Revised date: 2023-08-24

  Online published: 2025-12-19

Supported by

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).

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 synchronization theory for complex networks with time delay, the stability of car-followingmodel with the effect of driver’smemory 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.

Cite this article

Wen-Ju Du, Yin-Zhen Li, Jian-Gang Zhang . Stability Analysis of a Car-Following Model with Effect of Driver’s Memory Delay in Connected Vehicle Environment[J]. Journal of the Operations Research Society of China, 2025 , 13(4) : 1181 -1204 . DOI: 10.1007/s40305-023-00508-x

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