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We consider, in the Aw-Rascle-Zhang traffic flow model, the problem of the asymptotic stability of constant flows. By using a perturbative approach, we show the stability in a larger space of perturbation than previous results. Furthermore,…

Analysis of PDEs · Mathematics 2022-04-26 Tej-Eddine Ghoul , Nader Masmoudi , Eliot Pacherie

One of the potential capabilities of Connected and Autonomous Vehicles (CAVs) is that they can have different route choice behavior and driving behavior compared to human Driven Vehicles (HDVs). This will lead to mixed traffic flow with…

Systems and Control · Electrical Eng. & Systems 2023-01-27 Behzad Bamdad Mehrabani , Jakob Erdmann , Luca Sgambi , Seyedehsan Seyedabrishami , Maaike Snelder

Connected and automated vehicles (CAVs) provide the most intriguing opportunity for enabling users to better monitor transportation network conditions and make better operating decisions to improve safety and reduce pollution, energy…

Optimization and Control · Mathematics 2023-09-20 Andreas A. Malikopoulos

Autonomous vehicles (AVs) hold vast potential to enhance transportation systems by reducing congestion, improving safety, and lowering emissions. AV controls lead to emergent traffic phenomena; one such intriguing phenomenon is traffic…

Systems and Control · Electrical Eng. & Systems 2024-10-14 Sirui Li , Roy Dong , Cathy Wu

This paper develops boundary feedback controls to stabilize traffic congestion toward a predefined shock equilibrium in the Aw-Rascle-Zhang (ARZ) traffic flow model. We transform the corresponding moving-boundary $2\times2$ hyperbolic…

Optimization and Control · Mathematics 2026-04-03 Mina Cao , Mamadou Diagne , Peipei Shang , Lei Yu

We study the statistical properties of a cellular automata model of traffic flow with the look-ahead potential. The model defines stochastic rules for the movement of cars on a lattice. We analyze the underlying statistical assumptions…

Probability · Mathematics 2012-09-27 Cory Hauck , Yi Sun , Ilya Timofeyev

Autonomous driving systems present promising methods for congestion mitigation in mixed autonomy traffic control settings. In particular, when coupled with even modest traffic state estimates, such systems can plan and coordinate the…

Systems and Control · Electrical Eng. & Systems 2023-06-06 Zhe Fu , Abdul Rahman Kreidieh , Han Wang , Jonathan W. Lee , Maria Laura Delle Monache , Alexandre M. Bayen

The rapid adoption of autonomous vehicle has established mixed traffic environments, comprising both autonomous and human-driven vehicles (HDVs), as essential components of next-generation mobility systems. Along these lines, connectivity…

Systems and Control · Electrical Eng. & Systems 2025-06-19 Filippos Tzortzoglou , Logan E. Beaver

Connectivity and automation in vehicles provide the most intriguing opportunity for enabling users to better monitor transportation network conditions and make better operating decisions to improve safety and reduce pollution, energy…

Optimization and Control · Mathematics 2017-11-01 Liuhui Zhao , Andreas Malikopoulos , Jackeline Rios-Torres

An extended multi-class Aw-Rascle (AR) model with pressure term described as a function of area occupancy defined in form of proportional densities is presented. Two vehicle classes that is; cars and motorcycles are considered based on an…

Analysis of PDEs · Mathematics 2024-05-16 Nanyondo Josephine , Henry Kasumba

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

Connected automated vehicles (CAV), which incorporate vehicle-to-vehicle (V2V) communication into their motion planning, are expected to provide a wide range of benefits for individual and overall traffic flow. A frequent constraint or…

In this letter, we present an approach for learning human driving behavior, without relying on specific model structures or prior distributions, in a mixed-traffic environment where connected and automated vehicles (CAVs) coexist with…

Systems and Control · Electrical Eng. & Systems 2024-03-12 Heeseung Bang , Aditya Dave , Andreas A. Malikopoulos

The rapid development of cyber-physical systems is driving a transition toward mixed traffic environments comprising both human-driven and connected and automated vehicles (CAVs). This shift presents a unique opportunity to leverage the…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Filippos N. Tzortzoglou , Pengbo Zhu , Andreas A. Malikopoulos

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

This paper develops boundary observer for estimation of congested freeway traffic states based on Aw-Rascle-Zhang (ARZ) partial differential equations (PDE) model. Traffic state estimation refers to acquisition of traffic state information…

Optimization and Control · Mathematics 2019-06-11 Huan Yu , Qijian Gan , Alexandre M. Bayen , Miroslav Krstic

This paper presents an analytical approximation framework to understand the dynamics of traffic wave propagation for Automated Vehicles (AVs) during traffic oscillations. The framework systematically unravels the intricate relationships…

Systems and Control · Electrical Eng. & Systems 2024-11-27 Yang Zhou , Sixu Li , Wissam Kontar , Fan Pu , Anupam Srivastava , Soyoung Ahn

Connected automated vehicles (CAVs) could potentially be coordinated to safely attain the maximum traffic flow on roadways under dynamic traffic patterns, such as those engendered by the merger of two strings of vehicles due a lane drop.…

Systems and Control · Computer Science 2017-10-09 Aria HasanzadeZonuzy , Sina Arefizadeh , Alireza Talebpour , Srinivas Shakkottai , Swaroop Darbha

In transportation networks, intersections pose significant risks of collisions due to conflicting movements of vehicles approaching from different directions. To address this issue, various tools can exert influence on traffic safety both…

Artificial Intelligence · Computer Science 2024-05-30 Amir Hossein Karbasi , Hao Yang , Saiedeh Razavi

In this paper, we characterize the effects of turning and merging maneuvers of connected and/or automated vehicles (CAVs or AVs) on network traffic instability using the macroscopic or network fundamental diagram (MFD or NFD). We revisit…

Systems and Control · Computer Science 2020-12-21 Ziyuan Gu , Meead Saberi