Kinetic-Controlled Hydrodynamics for Traffic Models with Driver-Assist Vehicles

@article{Tosin2019KineticControlledHF,
  title={Kinetic-Controlled Hydrodynamics for Traffic Models with Driver-Assist Vehicles},
  author={Andrea Tosin and Mattia Zanella},
  journal={Multiscale Model. Simul.},
  year={2019},
  volume={17},
  pages={716-749}
}
We develop a hierarchical description of traffic flow control by means of driver-assist vehicles aimed at the mitigation of speed-dependent road risk factors. Microscopic feedback control strategies are designed at the level of vehicle-to-vehicle interactions and then upscaled to the global flow via a kinetic approach based on a Boltzmann-type equation. Then first and second order hydrodynamic traffic models, which naturally embed the microscopic control strategies, are consistently derived… 
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