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Related papers: Identifiability of car-following dynamic

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The parameter identifiability problem for a dynamical system is to determine whether the parameters of the system can be found from data for the outputs of the system. Verifying whether the parameters are identifiable is a necessary first…

Systems and Control · Electrical Eng. & Systems 2025-06-11 Alexey Ovchinnikov , Anand Pillay , Gleb Pogudin , Thomas Scanlon

In several model-based system maintenance problems, parameters are used to represent unknown characteristics of a component, equipment degradation, etc. This allows for modelling constant, slow-varying terms. The identifiability of these…

Optimization and Control · Mathematics 2020-03-24 Krishnan Srinivasarengan , José Ragot , Christophe Aubrun , Didier Maquin

Car-following (CF) algorithms are crucial components of traffic simulations and have been integrated into many production vehicles equipped with Advanced Driving Assistance Systems (ADAS). Insights from the model of car-following behavior…

Systems and Control · Electrical Eng. & Systems 2025-02-18 Tianya Zhang , Ph. D. , Peter J. Jin , Ph. D. , Sean T. McQuade , Ph. D. , Alexandre Bayen , Ph. D. , Benedetto Piccoli

We consider the Follow-the-Leader (FtL) model and study which properties of the initial positioning of the vehicles ensure its convergence to the classical Lighthill-Whitham-Richards (LWR) model for traffic flow. Robustness properties of…

Classical Analysis and ODEs · Mathematics 2024-03-19 Fabio Ancona , Mohamed Bentaibi , Francesco Rossi

Automated driving applications require accurate vehicle specific models to precisely predict and control the motion dynamics. However, modern vehicles have a wide array of digital and mechatronic components that are difficult to model,…

Systems and Control · Electrical Eng. & Systems 2021-05-11 G. Rödönyi , G. I. Beintema , R. Tóth , M. Schoukens , D. Pup , Á. Kisari , Zs. Vígh , P. Kőrös , A. Soumelidis , J. Bokor

Model-based and learning-based methods are two major types of methodologies to model car following behaviors. Model-based methods describe the car-following behaviors with explicit mathematical equations, while learning-based methods focus…

Systems and Control · Electrical Eng. & Systems 2022-10-21 Yilin Wang , Yiheng Feng

A parameter of a mathematical model is structurally identifiable if it can be determined from noiseless experimental data. Here, we examine the identifiability properties of two important classes of linear compartmental models:…

Structural identifiability analysis determines whether the parameters of a mechanistic ordinary differential equation (ODE) model can be uniquely recovered from ideal observations and is therefore a fundamental prerequisite for reliable…

Methodology · Statistics 2026-05-20 Abdallah Alsammani

Researchers develop models to explain the unknowns. These models typically involve parameters that capture tangible quantities, the estimation of which is desired. Parameter identifiability investigates the recoverability of the unknown…

Optimization and Control · Mathematics 2024-07-01 Anuththara Sarathchandra , Azadeh Aghaeeyan , Pouria Ramazi

The use of Hodgkin-Huxley (HH) equations abounds in the literature, but the identifiability of the HH model parameters has not been broadly considered. Identifiability analysis addresses the question of whether it is possible to estimate…

Neurons and Cognition · Quantitative Biology 2015-11-18 Olivia J. Walch , Marisa C. Eisenberg

Linear compartmental models are a widely used tool for analyzing systems arising in biology, medicine, and more. In such settings, it is essential to know whether model parameters can be recovered from experimental data. This is the…

Combinatorics · Mathematics 2025-11-18 Katherine Clemens , Jonathan Martinez , Anne Shiu , Michaela Thompson , Benjamin Warren

Trajectory planning is essential for ensuring safe driving in the face of uncertainties related to communication, sensing, and dynamic factors such as weather, road conditions, policies, and other road users. Existing car-following models…

Systems and Control · Electrical Eng. & Systems 2025-05-16 Wen-Long Jin

In this paper, we develop a mechanical system inspired microscopic traffic model to characterize the longitudinal interaction dynamics among a chain of vehicles. In particular, we extend our prior work on mass-spring-damper-clutch based…

Systems and Control · Electrical Eng. & Systems 2020-12-08 Mohammad R. Hajidavalloo , Zhaojian Li , Dong Chen , Ali Louati , Shuo Feng , Wubing B. Qin

We developed a novel approach to identification and model testing in linear structural equation models (SEMs) based on auxiliary variables (AVs), which generalizes a widely-used family of methods known as instrumental variables. The…

Methodology · Statistics 2019-10-09 Bryant Chen , Daniel Kumor , Elias Bareinboim

A fundamental challenge in car-following modeling lies in accurately representing the multi-scale complexity of driving behaviors, particularly the intra-driver heterogeneity where a single driver's actions fluctuate dynamically under…

Machine Learning · Computer Science 2025-06-09 Shirui Zhou , Jiying Yan , Junfang Tian , Tao Wang , Yongfu Li , Shiquan Zhong

Identifying tire and vehicle parameters is an essential step in designing control and planning algorithms for autonomous vehicles. This paper proposes a new method: Simulation-Based Inference (SBI), a modern interpretation of Approximate…

Robotics · Computer Science 2021-08-30 Ali Boyali , Simon Thompson , David Robert Wong

With the rapid development of Connected and Automated Vehicle (CAV) technology, limited self-driving vehicles have been commercially available in certain leading intelligent transportation system countries. When formulating the…

Systems and Control · Electrical Eng. & Systems 2023-05-30 Dianchao Lin , Li Li

Vehicle-to-vehicle communications can change the driving behavior of drivers significantly by providing them rich information on downstream traffic flow conditions. This study seeks to model the varying car-following behaviors involving…

Systems and Control · Computer Science 2018-09-18 Lin Liu , Chunyuan Li , Yongfu Li , Srinivas Peeta , Lei Lin

Understanding the effect of road geometry on human driving behaviour is essential for both road safety studies and traffic microsimulation. Research on this topic is still limited, mainly focusing on free-flow traffic and not adequately…

Physics and Society · Physics 2025-01-24 Fabrizio Pelella , Gaetano Zaccaria , Vincenzo Punzo , Marcello Montanino

Latent feature models (LFM)s are widely employed for extracting latent structures of data. While offering high, parameter estimation is difficult with LFMs because of the combinational nature of latent features, and non-identifiability is a…

Machine Learning · Computer Science 2018-09-27 Ryota Suzuki , Shingo Takahashi , Murtuza Petladwala , Shigeru Kohmoto