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Lane changes are common yet challenging driving maneuvers that require continuous decision-making and dynamic interaction with surrounding vehicles. Relying solely on human drivers for lane-changing can lead to traffic disturbances due to…

Systems and Control · Electrical Eng. & Systems 2025-10-30 Jiamin Wu , Chenguang Zhao , Huan Yu

This paper develops output feedback boundary control to mitigate traffic congestion of a unidirectional two-lane freeway segment. The macroscopic traffic dynamics are described by the Aw-Rascle-Zhang (ARZ) model respectively for both the…

Optimization and Control · Mathematics 2019-05-07 Huan Yu , Miroslav Krstic

We present a macroscopic traffic flow model where standard vehicles coexist with vehicles informed on the traffic distribution. The resulting mixed nonlocal-local integro-differential PDEs is proved to generate a locally Lipschitz…

Analysis of PDEs · Mathematics 2025-11-03 Rinaldo M. Colombo , Mauro Garavello , Claudia Nocita

Connected and Automated Vehicles (CAVs) offer a promising solution to the challenges of mixed traffic with both CAVs and Human-Driven Vehicles (HDVs). A significant hurdle in such scenarios is traffic oscillation, or the "stop-and-go"…

Robotics · Computer Science 2024-07-12 Xianda Chen , PakHin Tiu , Yihuai Zhang , Xinhu Zheng , Meixin Zhu

Weaving ramps are critical bottlenecks in highway networks due to conflicting traffic flows and complex interactions among heterogeneous vehicle types. In mixed-autonomy settings, the presence of controllable autonomous vehicles (AVs)…

Systems and Control · Electrical Eng. & Systems 2026-04-27 Kexin Wang , Haohui He , Ruolin Li

Cooperative control of Connected and Autonomous Vehicles (CAVs) promises great benefits for mixed traffic. Most existing research focuses on model-based control strategies, assuming that car-following dynamics of human-driven vehicles are…

Systems and Control · Electrical Eng. & Systems 2022-03-28 Jiawei Wang , Yang Zheng , Qing Xu , Keqiang Li

The proliferation of connected and automated vehicles (CAVs) has positioned mixed traffic environments, which encompass both CAVs and human driven vehicles (HDVs), as critical components of emerging mobility systems. Signalized…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Filippos N. Tzortzoglou , Logan E. Beaver , Andreas A. Malikopoulos

Ramp metering, a traditional traffic control strategy for conventional vehicles, has been widely deployed around the world since the 1960s. On the other hand, the last decade has witnessed significant advances in connected and automated…

Systems and Control · Electrical Eng. & Systems 2019-08-05 Zhouqiao Zhao , Ziran Wang , Guoyuan Wu , Fei Ye , Matthew J. Barth

We study the boundary stabilization of one-dimensional cross-diffusion systems in a moving domain. We show first exponential stabilization and then finite-time stabilization in arbitrary small-time of the linearized system around uniform…

Analysis of PDEs · Mathematics 2023-07-14 Jean Cauvin-Vila , Virginie Ehrlacher , Amaury Hayat

Autonomous Vehicle (AV) technology is advancing rapidly, promising a significant shift in road transportation safety and potentially resolving various complex transportation issues. With the increasing deployment of AVs by various…

Multiagent Systems · Computer Science 2023-12-11 Ahmed Abdelrahman

A new vehicular traffic flow model based on a stochastic jump process in vehicle acceleration and braking is introduced. It is based on a master equation for the single car probability density in space, velocity and acceleration with an…

Other Condensed Matter · Physics 2009-11-10 K. Thomas Waldeer

High-density, unsignalized intersection has always been a bottleneck of efficiency and safety. The emergence of Connected Autonomous Vehicles (CAVs) results in a mixed traffic condition, further increasing the complexity of the…

Multiagent Systems · Computer Science 2023-05-08 Shiyu Fang , Peng Hang , Chongfeng Wei , Yang Xing , Jian Sun

A typical urban signalized intersection poses significant modeling and control challenges in a mixed traffic environment consisting of connected automated vehicles (CAVs) and human-driven vehicles (HDVs). In this paper, we address the…

Optimization and Control · Mathematics 2022-05-24 A M Ishtiaque Mahbub , Viet-Anh Le , Andreas A. Malikopoulos

Historically, traffic modelling approaches have taken either a particle-like (microscopic) approach, or a gas-like (meso- or macroscopic) approach. Until recently with the introduction of mean-field games to the controls community, there…

Optimization and Control · Mathematics 2023-02-06 Amoolya Tirumalai , John S. Baras

In a mixed traffic with connected automated vehicles (CAVs) and human-driven vehicles (HDVs) coexisting, data-driven predictive control of CAVs promises system-wide traffic performance improvements. Yet, most existing approaches focus on a…

Optimization and Control · Mathematics 2024-10-08 Xu Shang , Jiawei Wang , Yang Zheng

We present a case study applying learning-based distributionally robust model predictive control to highway motion planning under stochastic uncertainty of the lane change behavior of surrounding road users. The dynamics of road users are…

Systems and Control · Electrical Eng. & Systems 2022-11-08 Mathijs Schuurmans , Alexander Katriniok , Christopher Meissen , H. Eric Tseng , Panagiotis Patrinos

This paper investigates the stabilization and control problems for linear continuous-time mean-field systems (MFS). Under standard assumptions, necessary and sufficient conditions to stabilize the mean-field systems in the mean square sense…

Optimization and Control · Mathematics 2017-05-26 Qingyuan Qi , Huanshui Zhang

Motivated by the rapid development of autonomous vehicle technology, this work focuses on the challenges of introducing them in ride-hailing platforms with conventional strategic human drivers. We consider a ride-hailing platform that…

Computer Science and Game Theory · Computer Science 2024-06-28 Shuqin Gao , Xinyuan Wu , Antonis Dimakis , Costas Courcoubetis

In this paper, a constrained control approach to variable speed limit (VSL) control for macroscopic partial differential equations (PDE) traffic models is developed. Control Lyapunov function (CLF) theory for ordinary differential equations…

Systems and Control · Electrical Eng. & Systems 2025-12-05 Brian Block , Stephanie Stockar

The authors consider stochastic aspects of the stabilization problem for two and three-dimensional Oseen equations with help of feedback control defined on a part of the fluid boundary. Stochastic issues arise when inevitable unpredictable…

Analysis of PDEs · Mathematics 2007-05-23 Jinqiao Duan , Andrei V. Fursikov