Stability analysis of the car-following model considering the effects of lateral gap and visual angle

This study proposes a new car-following (CF) model considering the effect of visual angle under the non-lane-discipline environment. In particular, the visual angle of the driver between the following vehicle and the preceding vehicle as well as its change rate is considered on a road without lane discipline. Stability analysis of the proposed CF model is performed using the perturbation method to obtain the stability condition. Numerical experiments are performed among the proposed CF model, the lane-disciplined-based full velocity difference model, and the non-lane-discipline-based CF model. The results illustrate that the steady-state performance of the proposed CF model that considers the effects of both lateral gap and visual angle is the best in terms of the stable region.