Stability Analysis and Control of an Extended Car-Following Model under Honk Environment

In order to study the traffic jams and congestion and to understand the forming process of traffic congestion. On the basis of synchronization theory of complex network, this paper investigated the stability of an extended car-following model under honk environment. By using the Lyapunov stability theory and designing the appropriate controller, the car-following model is quickly stabilized and the stability condition of the model is obtained. In addition, the stability of the extended car-following model under honk environment is studied when the vehicle is subjected to external disturbance. Finally, the effects of the designed controller on the stability of the extended car-following model under honk environment and the influence of honk effect on the traffic flow are verified by using the Matlab simulation technology. The conclusions of this paper can provide a theoretical reference for the prevention and control of traffic congestion.