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The influence of continuous historical velocity difference information on micro-cooperative driving stability

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Abstract

In this paper, a new micro-cooperative driving car-following model is proposed to investigate the effect of continuous historical velocity difference information on traffic stability. The linear stability criterion of the new model is derived with linear stability theory and the results show that the unstable region in the headway-sensitivity space will be shrunk by taking the continuous historical velocity difference information into account. Through nonlinear analysis, the mKdV equation is derived to describe the traffic evolution behavior of the new model near the critical point. Via numerical simulations, the theoretical analysis results are verified and the results indicate that the continuous historical velocity difference information can enhance the stability of traffic flow in the micro-cooperative driving process.

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... The relevant studies are mainly focusing on the numerical treatment to these equations [9][10][11]. It had been pointed out that anomalous diffusion and anomalous transport, as novel phenomena do occur [1][2][3][4][5][6]. ...
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