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On the stability analysis of microscopic traffic car-following model: a case study

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Abstract

The stability analysis of the microscopic traffic car-following model is an important issue. The present paper systematically discusses the local stability and asymptotic stability of the car-following model; meanwhile, the corresponding Lyapunov stability is also proposed from the viewpoint of control. Moreover, taking the full velocity difference (FVD) car-following model as a case, the difference among the three stability analysis approaches and the simulation are conducted. Finally, the results reveal that it can improve the dynamic performance when keep the value of the gain factor k constant and increase the value of sensitivity coefficient of velocity difference λ; and so is it when it keeps the value of a sensitivity coefficient of velocity difference λ constant and increases the value of the gain factor k, while the value of the gain factor k is dominant in this process.

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Acknowledgements

Thanks go to the support from the project by the Nature Science Funds of CQJW (Grant No. KJ130506), the Nature Science Funds of CQUPT (Grant No. A2012-78), Doctoral Start-up Funds of CQUPT (Grant No. A2012-26), and the National Nature Science Funds of the People’s Republic of China (Grant No. 51005264). The first author would like to express his gratitude to Dr. Xuebo ZHANG from Nankai University for his good discussion in the manuscript preparation.

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Authors and Affiliations

  1. College of Automation, Chongqing University of Posts and Telecommunications (CQUPT), Chongqing, 400065, P.R. China

    Yongfu Li, Hao Zhu, Min Cen, Yinguo Li & Rui Li

  2. Automotive Electronics and Embedded System Engineering Research Center, CQUPT, 400065, Chongqing, P.R. China

    Yongfu Li, Hao Zhu, Min Cen, Yinguo Li & Rui Li

  3. College of Automation, Chongqing University, Chongqing, 400044, P.R. China

    Dihua Sun

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  1. Yongfu Li
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  2. Hao Zhu
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  3. Min Cen
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  4. Yinguo Li
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  5. Rui Li
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  6. Dihua Sun
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Correspondence to Yongfu Li.

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Li, Y., Zhu, H., Cen, M. et al. On the stability analysis of microscopic traffic car-following model: a case study. Nonlinear Dyn 74, 335–343 (2013). https://doi.org/10.1007/s11071-013-0973-x

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  • DOI: https://doi.org/10.1007/s11071-013-0973-x

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