Volume 139, Number 3, August 2022
|Number of page(s)||5|
|Section||Fluid and nonlinear dynamics|
|Published online||08 August 2022|
The impact of equilibrium optimal flux deviation on traffic dynamics in lattice hydrodynamic model under V2X environment
1 College of Mathematics and Physics, Hunan University of Arts and Science - Changde 415000, China
2 College of Physical Science and Technology, Guangxi Normal University - Guilin 541004, China
(a) firstname.lastname@example.org (corresponding author)
Received: 1 September 2021
Accepted: 17 November 2021
In this work, the equilibrium optimal flux deviation is explored as a control signal under the V2X environment via traffic modeling of the lattice hydrodynamic model. According to the control theory, the sufficient stable condition can be deduced. In addition, numerical simulation is implemented for the early time impact, the steady-state effect, and the hysteresis phenomenon of traffic flow with the increase of the feedback gain response to the equilibrium optimal flux deviation. The result demonstrates that the equilibrium optimal flux deviation effect has significantly positive influence on the stability of the traffic flow.
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