Abstract—A new car-following model is proposed based on Internet-connected vehicles. In this model, a vehicle is controlled by the information of arbitrary number of vehicles obtained from the Internet-connected vehicles system. The stability condition is investigated by using the linear stability theory. The result shows that the stability of traffic flow is improved by taking into account the headway of vehicles ahead and the relative velocity. By applying the nonlinear analysis, the modified Korteweg-de Vries (mKdV) equation is derived to describe the traffic jams. From the numerical simulation, it is shown that the traffic jams are suppressed efficiently by taking into account the headway of vehicles ahead and the relative velocity.

Index Terms—Traffic flow, Internet-connected vehicles, modified Korteweg-de Vries equation, Kink-antikink soliton, density wave.

Lei Yu and Zhongke Shi are with the College of Automation, Northwestern Polytechnical University, Xi'an, Shaanxi Province, China.
Bingchang Zhou is with the School of Science, Northwestern Polytechnical University, Xi'an, Shaanxi Province, China.

Cite:Lei Yu, Bingchang Zhou, Zhongke Shi, "Nonlinear Analysis of a New Car-Following Model Based on Internet-Connected Vehicles," International Journal of Computer and Communication Engineering vol. 4, no. 2, pp. 117-125, 2015.