Stability Analysis of Car-Following Model with Uncertainty in Perceiving Velocity

To reveal the impact of uncertain traffic information on traffic flow, a new car-following model with consideration of uncertainty in perceiving velocity is proposed. The linear stability criterion of the new model is derived through linear stability theory and it shows that the stable region for a small perceived velocity of the preceding vehicle is larger than that for a large perceived velocity of the preceding vehicle. Numerical simulation is in good agreement with the analytical results, which reveals that the uncertain traffic information would influence the stability of traffic flow importantly.

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