Stability analysis on hybrid optimal velocity model with relative velocity

A new backward looking car following model with a consideration of the relative velocity is proposed in a cooperative driving system based on the analysis of the previous models. The stability condition is obtained by the use of the linear stability theory. The stability of the uniform traffic flow is strengthened by the effect of introducing the relative velocity. A numerical simulation is carried out to verify the performance of the new model. The simulation results show that it is reasonable to introduce the effect of the relative velocity.