异质线性与非线性跟驰模型的稳定性
Stability of heterogeneous linear and nonlinear car-following models
AI总结：
该研究针对交通停走波的动力学控制难题，探究两类含淬火无序的异质跟驰模型，推导通用线性稳定性条件并仿真验证，明确了车辆行为个体异质性对交通稳定性的影响机制。
摘要：
道路交通中的停走波是复杂的集体现象，对交通工程、安全和环境具有重要影响。尽管已有数十年研究，理解并控制这些动力学特性仍具挑战性。本文研究两类含淬火无序的异质跟驰模型，以阐明驱动交通失稳与停走动力学的潜在机制。具体而言，研究了标度异质性模型与加性异质性模型，二者对线性及非线性跟驰模型稳定性的影响各不相同。我们推导了通用线性稳定性条件，将其应用于特定模型并通过仿真加以说明。该研究揭示了车辆行为个体异质性的作用及其对交通稳定性的影响。
英文摘要：
Stop-and-go waves in road traffic are complex collective phenomena with significant implications for traffic engineering, safety and the environment. Despite decades of research, understanding and controlling these dynamics remains challenging. This article examines two classes of heterogeneous car-following models with quenched disorder to shed light on the underlying mechanisms that drive traffic instability and stop-and-go dynamics. Specifically, a scaled heterogeneity model and an additive heterogeneity model are investigated, each of which affects the stability of linear and nonlinear car-following models differently. We derive general linear stability conditions which we apply to specific models and illustrate by simulation. The study provides insights into the role of individual heterogeneity in vehicle behaviour and its influence on traffic stability.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
