STABILITY ANALYSIS AND CONTROL OF A CAR-FOLLOWING MODEL IN A CONNECTED AND AUTONOMOUS ENVIRONMENT

In order to study the traffic jams and to understand the forming process of traffic congestion in traffic flow, the paper investigated the stability of a car-following model with considering the effect of front and rear vehicles on the basis of synchronization theory of complex network in a connected and autonomous environment. Through designing the appropriate controller and using the Lyapunov stability theory, the car-following model with considering the effect of front and rear vehicles is quickly stabilized and the stability condition of the model is obtained. In addition, based on the adaptive Hoc, synchronization theory for complex networks with external disturbances, the stability of the traffic flow is studied when the vehicles are subjected to the random external disturbance. Finally, the theoretical analysis is verified by numerical simulations, and the results show that the car-following model with effect of front and rear vehicles is rapidly stabilizing and is alleviated under the controller