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

doi:10.1007/s40305-023-00508-x

Abstract

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.

Key words: Car-following model, Stability, Connected vehicle environment, Time delay, External disturbance

CLC Number:

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.

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