Stability control of a two‐lane car‐following model based on cluster synchronization of complex network

Abstract

AbstractThe article investigated the stability of a two‐lane car‐following model with lateral friction on the basis of cluster synchronization theory of complex network. By using the Lyapunov stability theory and designing the appropriate controller, the two‐lane car‐following model with lateral friction is quickly stabilized and the stability condition of the model is obtained. Besides, based on the adaptive cluster synchronization theory for complex networks with external disturbances, the stability of two‐lane car‐following model with lateral friction is studied when the vehicles is subjected to random external disturbance. Finally, the numerical simulation is carried out by using Matlab simulation technology, the results show that the two‐lane car‐following model with lateral friction is rapidly stabilizing and congestion phenomenon is effectively alleviated under the controller designed.