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For motion planning and control of autonomous vehicles to be proactive and safe, pedestrians' and other road users' motions must be considered. In this paper, we present a vehicle motion planning and control framework, based on Model…

Systems and Control · Computer Science 2019-03-20 Ivo Batkovic , Mario Zanon , Mohammad Ali , Paolo Falcone

This work is devoted to investigating stochastic turbulence for the fluid flow in one-dimensional viscous Burgers equation perturbed by L\'evy space-time white noise with the periodic boundary condition. We rigorously discuss the regularity…

Probability · Mathematics 2021-06-08 Shenglan Yuan , Dirk Blömker , Jinqiao Duan

Traffic flow data collected by an induction loop detector on the highway close to Koeln-Nord are investigated with respect to their dynamics including the stochastic content. In particular we present a new method, with which the flow…

Data Analysis, Statistics and Probability · Physics 2015-06-26 S. Kriso , R. Friedrich , J. Peinke , P. Wagner

We consider the one-dimensional Burgers equation randomly stirred at large scales by a Gaussian short-time correlated force. Using the method of dissipative anomalies, we obtain velocity and velocity-difference probability density functions…

Chaotic Dynamics · Physics 2007-05-23 S. Boldyrev , T. Linde , A. Polyakov

Mitigating traffic congestion on urban roads, with paramount importance in urban development and reduction of energy consumption and air pollution, depends on our ability to foresee road usage and traffic conditions pertaining to the…

Physics and Society · Physics 2018-04-27 Jingyuan Wang , Yu Mao , Jing Li , Chao Li , Zhang Xiong , Wen-Xu Wang

The emerging connected and automated vehicle technologies allow vehicles to perceive and process traffic information in a wide spatial range. Modeling nonlocal interactions between connected vehicles and analyzing their impact on traffic…

Analysis of PDEs · Mathematics 2023-07-06 Kuang Huang , Qiang Du

Road traffic accidents represent a leading cause of mortality globally, with incidence rates rising due to increasing population, urbanization, and motorization. Rising accident rates raise concerns about traffic surveillance effectiveness.…

Computer Vision and Pattern Recognition · Computer Science 2025-12-15 Tanu Singh , Pranamesh Chakraborty , Long T. Truong

In this note, we study Luenberger-type full-state observers for nonlinear systems using contraction theory. We show that if the matrix measure of a suitably defined Jacobian matrix constructed from the dynamics of the system-observer…

Systems and Control · Computer Science 2017-11-16 Samuel Coogan , Murat Arcak

Urban traffic systems are characterized by dynamic interactions between congestion and free-flow states, influenced by human activity and road topology. This study employs percolation theory to analyze traffic dynamics in Seoul, focusing on…

Physics and Society · Physics 2025-02-25 Yongsung Kwon , Mi Jin Lee , Seung-Woo Son

Predicting the motion of a driver's vehicle is crucial for advanced driving systems, enabling detection of potential risks towards shared control between the driver and automation systems. In this paper, we propose a variational neural…

Robotics · Computer Science 2019-03-07 Xin Huang , Stephen McGill , Brian C. Williams , Luke Fletcher , Guy Rosman

This paper introduces an optimization problem (P) and a solution strategy to design variable-speed-limit controls for a highway that is subject to traffic congestion and uncertain vehicle arrival and departure. By employing a finite…

Optimization and Control · Mathematics 2020-09-08 Dan Li , Dariush Fooladivanda , Sonia Martinez

In this work we consider the problem of constructing initial conditions for a flow model such that the resulting flow evolution leads to a self-similar energy cascade consistent with Kolmogorov's statistical theory of turbulence. As a first…

Fluid Dynamics · Physics 2026-03-24 Pritpal Matharu , Bartosz Protas , Tsuyoshi Yoneda

From single vehicle data a number of new empirical results concerning the density-dependence of the velocity distribution and its moments as well as the characteristics of their temporal fluctuations have been determined. These are utilized…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing

Understanding motorist detouring behavior is critical for both traffic operations and planning applications. However, measuring real-world detouring behavior is challenging due to the need to track the movement of individual vehicles.…

Computational Engineering, Finance, and Science · Computer Science 2024-07-25 Mark Franz PhD , Sara Zahedian PhD , Dhairya Parekh , Tahsin Emtenam PhD , Greg Jordan

A novel continuum model has been developed to address the vehicle size heterogeneity in mixed traffic. By incorporating the principle of vehicle area conservation, a new set of traffic flow variables centered on the concept of vehicle area…

Analysis of PDEs · Mathematics 2026-04-27 Nandan Maiti , Bhargava Rama Chilukuri

Traffic Intersections are vital to urban road networks as they regulate the movement of people and goods. However, they are regions of conflicting trajectories and are prone to accidents. Deep Generative models of traffic dynamics at…

Artificial Intelligence · Computer Science 2025-06-11 Yash Ranjan , Rahul Sengupta , Anand Rangarajan , Sanjay Ranka

Traffic prediction is necessary not only for management departments to dispatch vehicles but also for drivers to avoid congested roads. Many traffic forecasting methods based on deep learning have been proposed in recent years, and their…

Machine Learning · Computer Science 2020-05-12 Jichen Wang , Weiguo Zhu , Yongqi Sun , Chunzi Tian

The airborne traffic monitoring system forms a novel technology of detecting vehicle motion. An optical digital camera located on an airborne platform produces a series of images which then are processed to recognized the fixed vehicles. In…

Instrumentation and Detectors · Physics 2007-09-28 Ihor Lubashevsky , Namik Gusein-zade , Dmitry Klochkov , Sergey Zuev

This paper investigates the mathematical modeling and the stability of multi-lane traffic in the microscopic scale, studying a model based on two interaction terms. To do this we propose simple lane changing conditions and we study the…

Classical Analysis and ODEs · Mathematics 2023-12-05 Matteo Piu , Gabriella Puppo

Estimating vehicles' locations is one of the key components in intelligent traffic management systems (ITMSs) for increasing traffic scene awareness. Traditionally, stationary sensors have been employed in this regard. The development of…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Elnaz Namazi , Rudolf Mester , Chaoru Lu , Jingyue Li