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Ren Dian-bo, Zhang Ji-ye, Sun Lin-fu. Stability analysis of vehicle following system with delays based on vector Liapunov function[J]. Journal of Traffic and Transportation Engineering, 2007, 7(4): 89-92.
Citation: Ren Dian-bo, Zhang Ji-ye, Sun Lin-fu. Stability analysis of vehicle following system with delays based on vector Liapunov function[J]. Journal of Traffic and Transportation Engineering, 2007, 7(4): 89-92.
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Stability analysis of vehicle following system with delays based on vector Liapunov function

  • 1.

    Traction Power State Key Laboratory, Southwest Jiaotong University, Chengdu 610031, Sichuan, China

  • 2.

    CAD Engineering Center, Southwest Jiaotong University, Chengdu 610031, Sichuan, China

More Information
  • Author Bio:

    Ren Dian-bo(1968-), male, doctoral student of engineering, +86-28-87634355, rdian-bo@tom.com

    Zhang J-i ye(1965-), male, professor, +86-28-87634355, jyzhang@home.swjtu.edu.cn

  • Received Date: 2006-12-12
  • Publish Date: 2007-08-25
    Abstract
  • In order to study the stability of longitudinal following control system of vehicle in automated highway system, the following errors of vehicles were analyzed, a mathematic model of infinite-dimensional nonlinear interconnected large-scale system with delays was constructed, and the stability of the system was studied by applying vector Liapunov function. Under the assumption that the system satisfied holistic Lipschitz condition, the stability conditions of isolated subsystems decomposed from the large-scale system were regarded as base, and a sufficient condition of exponential stability on the large-scale system was obtained.Since the criterion is explicit and independent of the delays, it is easy to be applied in the design of longitudinal vehicle following controllers.

     

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