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The Stability Analysis for an Extended Car Following Model Based on Control Theory |
| GE Hong-Xia1,2,3, MENG Xiang-Pei4, ZHU Ke-Qiang1,2,3, CHENG Rong-Jun5** |
1Faculty of Maritime and Transportation, Ningbo University, Ningbo 315200
2Jiangsu Province Collaborative Innovation Center for Modern Urban Traffic Technologies, Nanjing 210096
3National Traffic Management Engineering and Technology Research Centre, Ningbo University, Ningbo 315211
4Foundation College, Ningbo Dahongying University, Ningbo 315175
5Department of Fundamental Course, Ningbo Institute of Technology, Zhejiang University, Ningbo 315100
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| Cite this article: |
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GE Hong-Xia, MENG Xiang-Pei, ZHU Ke-Qiang et al 2014 Chin. Phys. Lett. 31 080505 |
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Abstract A new method is proposed to study the stability of the car-following model considering traffic interruption probability. The stability condition for the extended car-following model is obtained by using the Lyapunov function and the condition for no traffic jam is also given based on the control theory. Numerical simulations are conducted to demonstrate and verify the analytical results. Moreover, numerical simulations show that the traffic interruption probability has an influence on driving behavior and confirm the effectiveness of the method on the stability of traffic flow.
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Published: 28 July 2014
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