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Related papers: Control of a lane-drop bottleneck through variable…

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Using the backstepping design, we achieve exponential stabilization of the coupled Saint-Venant-Exner (SVE) PDE model of water dynamics in a sediment-filled canal with arbitrary values of canal bottom slope, friction, porosity, and…

Optimization and Control · Mathematics 2015-05-26 Ababacar Diagne , Mamadou Diagne , Shuxia Tang , Miroslav Krstic

The increasing global spread of electric vehicles (EVs) has introduced significant interdependence between transportation and power networks. Most of the previous studies on coupled networks focus on the formation of equilibrium states…

Systems and Control · Electrical Eng. & Systems 2023-04-10 Jiaqi Li , Xiaoyuan Xu , Zheng Yan , Han Wang , Yue Chen

Urban traffic control is a system-level coordination problem spanning heterogeneous subsystems, including traffic signals, freeways, public transit, and taxi services. Existing optimization-based, reinforcement learning (RL), and emerging…

Artificial Intelligence · Computer Science 2026-04-21 Siqi Lai , Pan Zhang , Yuping Zhou , Jindong Han , Yansong Ning , Hao Liu

We review recent results and present new ones on a deterministic follow-the-leader particle approximation of first and second order models for traffic flow and pedestrian movements. We start by constructing the particle scheme for the first…

Numerical Analysis · Mathematics 2016-10-24 Marco Di Francesco , Simone Fagioli , Massimiliano D. Rosini , Giovanni Russo

This paper addresses the management of water flow in a rectangular open channel, considering the dynamic nature of both the channel's bathymetry and the suspended sediment particles caused by entrainment and deposition effects. The…

Optimization and Control · Mathematics 2024-03-26 Eranda Somathilake , Mamadou Diagne

This paper presents a hierarchical longitudinal control architecture for autonomous truck platoons that jointly addresses safety, string stability, and economic efficiency. The framework integrates a high-rate safety projection filter, a…

Optimization and Control · Mathematics 2025-11-18 Alexander Hammerl , Ravi Seshadri , Thomas Kjær Rasmussen , Otto Anker Nielsen

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

Virtual Traffic Light (VTL) is a traffic control method that does not require traffic signal-related infrastructure for roadway intersections. Connected vehicles (CVs) are given right-of-way based on prevailing traffic conditions, such as…

Other Computer Science · Computer Science 2025-06-06 Abyad Enan , M Sabbir Salek , Mashrur Chowdhury , Gurcan Comert , Sakib M. Khan , Reek Majumder

The framework of linear parameter-varying (LPV) systems has shown to be a powerful tool for the design of controllers for complex nonlinear systems using linear tools. In this work, we derive novel methods that allow to synthesize LPV…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Chris Verhoek , Roland Tóth , Hossam S. Abbas

Fog is a critical external factor that threatens traffic safety on freeways. Variable speed limit (VSL) control can effectively harmonize vehicle speed and improve safety. However, most existing weather-related VSL controllers are limited…

Systems and Control · Electrical Eng. & Systems 2023-07-26 Ben Zhai , Yanli Wang , Wenxuan Wang , Bing Wu

A bottleneck situation in one-lane traffic-flow is typically modelled with a constant demand of entering cars. However, in practice this demand may depend on the density of cars in the bottleneck. The present paper studies a simple bimodal…

Statistical Mechanics · Physics 2016-11-26 Marko Woelki

Routing mechanisms for stochastic networks are often designed to produce state space collapse (SSC) in a heavy-traffic limit, i.e., to confine the limiting process to a lower-dimensional subset of its full state space. In a fluid limit, a…

Probability · Mathematics 2014-07-29 Ohad Perry , Ward Whitt

This paper presents a novel hybrid control protocol for de-conflicting multiple vehicles with constraints on control inputs. We consider turning rate and linear speed constraints to represent fixed-wing or car-like vehicles. A set of…

Systems and Control · Computer Science 2021-06-11 Kunal Garg , Dimitra Panagou

Multi-vehicle coordinated decision making and control can improve traffic efficiency while guaranteeing driving safety. Formation control is a typical multi-vehicle coordination method in the multi-lane scenario. Among the existing…

Systems and Control · Electrical Eng. & Systems 2021-05-03 Mengchi Cai , Qing Xu , Chaoyi Chen , Jiawei Wang , Keqiang Li , Jianqiang Wang , Qianying Zhu

In the modeling of traffic networks, a signalized junction is typically treated using a binary variable to model the on-and-off nature of signal operation. While accurate, the use of binary variables can cause problems when studying large…

Analysis of PDEs · Mathematics 2016-03-25 Ke Han , Vikash Gayah , Benedetto Piccoli , Terry L. Friesz , Tao Yao

This article provides an overview of the design of nonlinear feedback Cruise Controllers (CCs) for automated vehicles on lane-free roads. The feedback design problem is particularly challenging because of the various state constraints…

Optimization and Control · Mathematics 2024-05-10 Iasson Karafyllis , Dionysios Theodosis , Markos Papageorgiou , Miroslav Krstic

In this paper, we study mixed traffic systems that move along a single-lane ring-road or open-road. The traffic flow forms a platoon, which includes a number of heterogeneous human-driven vehicles (HDVs) together with only one connected and…

Optimization and Control · Mathematics 2021-07-29 Shima Sadat Mousavi , Somayeh Bahrami , Anastasios Kouvelas

Reinforcement learning (RL) constitutes a promising solution for alleviating the problem of traffic congestion. In particular, deep RL algorithms have been shown to produce adaptive traffic signal controllers that outperform conventional…

Machine Learning · Statistics 2019-07-23 Filipe Rodrigues , Carlos Lima Azevedo

In this paper, we investigate a distributed optimal control problem for a convective viscous Cahn-Hilliard system with dynamic boundary conditions. Such systems govern phase separation processes between two phases taking place in an…

Analysis of PDEs · Mathematics 2017-09-08 Pierluigi Colli , Gianni Gilardi , Jürgen Sprekels

This paper considers the problem of designing a continuous-time dynamical system that solves a constrained nonlinear optimization problem and makes the feasible set forward invariant and asymptotically stable. The invariance of the feasible…

Optimization and Control · Mathematics 2024-08-27 Ahmed Allibhoy , Jorge Cortés