Pinning control of a new car-following model with the consideration of preceding and following cars

Based on the early work of Yao et al., an extended car-following model with the consideration of information from preceding and following cars is proposed. In the model, vehicles can communicate with each other. The coupled relationship between traffic network and communication network is formulated as a two-layer supernetwork. A vehicle is regarded as a node from the viewpoint of network. Particular nodes, added a feedback control based on ControlRank (CR), are selected to be pinned. It´s pinning control that is used to slow the traffic jam in the new coupled map (CM) car-following model under an open boundary. Compared with previous research concerning CM car-following models, our controlled model is more effective to slow the traffic jams. The simulation results are in keeping with the theoretical stability analysis.