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ln order to study the traffic jams and congestion, the paper investigated the stability of a full velocity difference ear-following model on the basis of adaptive H∞ synchronization theory of complex networks. Through the controller 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 controller designed in this paper. [ABSTRACT FROM AUTHOR]

The conventional bus network and subway network are constructed respectively by using space R method in this paper, then regards these two networks as the sub-networks, and a new bilayer public traffic coupled network is presented based on the transfer relationship between subway and conventional bus. By using the synchronization theory of two different complex networks with stochastic disturbance, the paper investigated the synchronization of bilayer public traffic coupled network. Finally, the impact of stochastic disturbance on the balance of bilayer public traffic coupled network is analyzed through numerical simulation. [ABSTRACT FROM AUTHOR]

The paper established the transfer network and bus line network by respectively using space P and space R model method. Then regard these two networks as the sub-networks, this paper presented a new two layers coupled public traffic network through the connection between the bus stops and bus lines, and this model can well reflect the connection between the passengers and bus operating vehicles. Based on the synchronization theory of coupled network with dual time-varying delays and taking "Lorenz system" as the network node, the paper studied the stability of two layers coupled public traffic network. Finally, the numerical results are given to show the impact of public traffic dispatching, delayed departure, the number of common bus stops between bus lines and the accessibility between bus stops to the two layers coupled public traffic network balance. [ABSTRACT FROM AUTHOR]