Traffic and Autonomy
暫譯: 交通與自主性

Chiri, Maria Teresa, Piccoli, Benedetto

Traffic and Autonomy
  • 出版商: Springer
  • 出版日期: 2026-11-03
  • 售價: $8,260
  • 貴賓價: 9.5 折 $7,847
  • 語言: 英文
  • 頁數: 258
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3032246288
  • ISBN-13: 9783032246288
  • 相關分類: 控制系統 Control-systems、自駕車

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商品描述

This volume presents a coherent and high-quality collection of contributions addressing key challenges in traffic modeling and control. The chapters showcase a blend of theoretical rigor and practical relevance, with diverse methodologies ranging from PDE control to game theory and data-driven modeling. One chapter presents a retrospective on PDE backstepping techniques for stabilizing stop-and-go waves, extending from single-lane models to more complex multi-lane and multi-class systems. Another introduces a second-order time-to-collision metric that accounts for non-static acceleration and turning, improving predictive accuracy in safety analysis. The CGARZ model simplifies second-order traffic dynamics by collapsing free-flow regimes while preserving detail in congestion, striking a balance between realism and tractability. A multi-population mean field game framework is proposed to model the interaction between human-driven and autonomous vehicles, with a detailed stability analysis that sheds light on the benefits of CAV integration. Another contribution develops a multi-lane model where autonomous vehicles act as mobile bottlenecks, coupling macroscopic flow dynamics with controlled microscopic agents. The volume also includes a rigorous analysis of the Hughes model for pedestrian flow with affine cost functions, exploring uniqueness and sensitivity with respect to both initial data and model parameters.

商品描述(中文翻譯)

本書收錄了一系列連貫且高品質的研究成果，探討交通建模與控制領域中的關鍵挑戰。各章結合理論嚴謹性與實務相關性，採用從偏微分方程（PDE）控制、賽局理論到資料驅動建模等多元方法。

其中一章回顧了用於穩定走走停停波（stop-and-go waves）的 PDE backstepping 技術，研究範圍從單車道模型延伸至更複雜的多車道與多類別系統。另一章提出二階碰撞時間（time-to-collision）度量，將非靜態加速度與轉向納入考量，提升安全性分析中的預測準確度。

CGARZ model 透過合併自由流動狀態來簡化二階交通動力學，同時在壅塞狀態下保留細節，在寫實性與可處理性之間取得平衡。另有研究提出多族群平均場賽局（multi-population mean field game）架構，用於建模人類駕駛車輛與自動駕駛車輛之間的互動，並進行詳細的穩定性分析，以闡明整合 CAV 所帶來的優勢。

另一篇研究則建立多車道模型，將自動駕駛車輛視為可移動的瓶頸，結合宏觀流量動力學與受控的微觀代理。全書也收錄了對採用仿射成本函數之行人流 Hughes model 的嚴謹分析，探討其解的唯一性，以及解對初始資料與模型參數的敏感度。

作者簡介

Maria Teresa Chiri is Assistant Professor in the Department of Mathematics and Statistics at Queen's University in Kingston, Ontario, Canada. Her research lies at the intersection of partial differential equations, control theory, and applied analysis, with a focus on conservation laws, traffic flow models with autonomous vehicles, and optimal control problems arising in math biology.

Benedetto Piccoli is University Professor and the Joseph and Loretta Lopez Chair Professor of Mathematics at Rutgers University - Camden. He also served as Vice Chancellor for Research and is currently chair of the Department of Mathematical Sciences. His research interests span various areas of applied mathematics, including control theory, traffic flow on networks, crowd dynamics, math finance and application to autonomous driving, population health and bio-medical systems. He is author of more than 350 research papers and 7 books and is the founding editor of Networks and Heterogeneous Media. Piccoli is the 2009 Fubini Prize recipient, Plenary speaker at ICIAM 2011, 2012 inaugural Fellow of American Mathematical Society, 2024 SIAM W.T. and Idalia Reid Prize recipient, and 2024 IEEE ITS Institutional Lead Award recipient for the CIRCLES consortium. He spent the 2023-24 AY visiting the Institute for Advanced Study in Princeton.

作者簡介(中文翻譯)

Maria Teresa Chiri 是加拿大安大略省金斯頓 Queen's University 數學與統計學系的助理教授。她的研究位於偏微分方程、控制理論與應用分析的交會領域，專注於守恆律、搭載自駕車的交通流模型，以及數學生物學中衍生出的最佳控制問題。

Benedetto Piccoli 是 Rutgers University - Camden 的大學教授，也是 Joseph and Loretta Lopez 講座數學教授。他曾擔任研究副校長，目前則擔任數學科學系系主任。他的研究興趣涵蓋應用數學的多個領域，包括控制理論、網路交通流、群眾動力學、數理金融，以及其在自動駕駛、人口健康與生醫系統上的應用。他著有 350 多篇研究論文及 7 本書，並擔任 Networks and Heterogeneous Media 的創刊主編。Piccoli 曾獲頒 2009 年 Fubini Prize、擔任 ICIAM 2011 大會主講人、於 2012 年成為 American Mathematical Society 的創會 Fellow，並於 2024 年獲得 SIAM W.T. and Idalia Reid Prize，以及因 CIRCLES consortium 而獲頒 2024 IEEE ITS Institutional Lead Award。2023 至 2024 學年度期間，他以訪問學者身分於 Princeton 的 Institute for Advanced Study 進行研究。

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