An extended car-following model accounting for cooperation driving system with velocity uncertainty

In this paper, an extended car-following model accounting for cooperation driving system with vehicle's velocity uncertainty is proposed based on the full velocity difference car-following model. To analyze the influence of vehicle's velocity uncertainty on traffic evolution properties, the asymptotic and local stability conditions of the new car-following model are derived respectively by using the stability theory in control theory. Numerical simulation is carried out and it shows that the vehicle's velocity uncertainty can impact vehicle starting process and the stability of traffic flow importantly.