Stability Analysis and Control of a Full Velocity Difference Car-following Model

摘要

In order to study the traffic jams and congestion, the paper investigated the stability of. a full velocity difference car-following model on the basis of adaptive H 尤 synchronization theory of complex networks. Through the controllers designed in this paper, the full velocity difference car-following model is quickly stabilized. And the stability condition of the model is obtained by using the Lyapunov stability theory. In addition, the stability of the model is studied when the vehicle is subjected to external disturbance. Finally, the numerical simulations is carried out by using Matlab simulation technology, the results show that the full velocity difference car-following model is rapidly stabilizing and congestion phenomenon is effectively alleviated under the controllers designed in this paper.