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Stability and String Stability of Car-following Models with Reaction-time Delay

Abstract : We investigate the transfer function emanating from the linearization of a car-following model for human drivers, when taking into account their reaction time, which is known to be a cause of the stop-and-go traffic phenomenon. This leads to nontrivial stability conditions, which are explicitly given. They are in particular satisfied whenever string stability holds. We also show how this reaction time can introduce a partial string stability, where the transfer function modulus remains smaller than 1 up to some critical frequency. We explore conditions in the parameter space discriminating between 3 different regimes (stability, string stability, partial string stability).
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https://hal.inria.fr/hal-02413721
Contributor : Guy Fayolle <>
Submitted on : Friday, December 4, 2020 - 12:09:30 PM
Last modification on : Saturday, December 5, 2020 - 3:30:04 AM

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  • HAL Id : hal-02413721, version 8

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Guy Fayolle, Jean-Marc Lasgouttes, Carlos Flores. Stability and String Stability of Car-following Models with Reaction-time Delay. 2020. ⟨hal-02413721v8⟩

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