4 papers
Existence and uniqueness of nonlocal nonlinear conservation laws via fixed-point methods
Xiaoqian Gong, Alexander Keimer, Lorenzo Liverani +1
We investigate the well-posedness of scalar conservation laws whose flux depends on the solution both pointwise and nonlocally through integral averages. Our analysis is based on a…
Analysis of the long-term behavior of the "Bando--follow-the-leader'' car-following model
Fei Cao, Xiaoqian Gong, Alexander Keimer
In this article, we investigate the long-term behavior of the ``Bando--follow-the-leader'' car-following model, whose well-posedness and stability with respect to delay were analyz…
Optimal Control of ODE Car-Following Models: Applications to Mixed-Autonomy Platoon Control via Coupled Autonomous Vehicles
Arwa Alanqary, Alexandre M. Bayen, Xiaoqian Gong +3
In this paper, we study the optimal control of a mixed-autonomy platoon driving on a single lane to smooth traffic flow. The platoon consists of autonomous vehicles, whose accelera…
On the Analytical Properties of a Nonlinear Microscopic Dynamical Model for Connected and Automated Vehicles
H. Nick Zinat Matin, Y. Yeo, X. Gong +1
In this paper, we propose an integrated dynamical model of Connected and Automated Vehicles (CAVs) which incorporates CAV technologies and a microscopic car-following model to impr…