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Bifurcation analysis and control strategy for a car-following model considering jerk behavior

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  • Tang, Yuan
  • Xue, Yu
  • Huang, Mu-Yang
  • Wen, Qi-Yun
  • Cen, Bing-Ling
  • Chen, Dong

Abstract

To further improve the adaptability of the optimal velocity model (OVM) in the actual traffic flow, this paper proposes a car-following model that considers both the jerk effect and time-delayed feedback control. To study the dynamic behavior of this model, the following analysis is carried out: A stability conditions and equilibrium points controlling OVM are obtained by stability analysis and Hopf bifurcation analysis; Using the intuitive and accurate definite integral stabilization method (DIS), by calculating the number of all unstable eigenvalues of the characteristic equation, we obtain a stable time-delayed interval, and a time-delayed feedback controller is designed to stabilize the traffic system. The results show that the time-delayed feedback controller expands stable time-delayed interval, suppresses the influence of unstable factors on the traffic system, and improves stability of vehicle traffic; Numerical simulations agree with the theoretical results, indicating that the time-delayed feedback controller can effectively suppress traffic congestion and control the managed traffic.

Suggested Citation

  • Tang, Yuan & Xue, Yu & Huang, Mu-Yang & Wen, Qi-Yun & Cen, Bing-Ling & Chen, Dong, 2023. "Bifurcation analysis and control strategy for a car-following model considering jerk behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 618(C).
    • Handle: RePEc:eee:phsmap:v:618:y:2023:i:c:s0378437123002479
    DOI: 10.1016/j.physa.2023.128692
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    References listed on IDEAS

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