Control Problems for Conservation Laws with Traffic Applications
Modeling, Analysis, and Numerical Methods
1st Edition
Published on 24. April 2022
Book
Hardback
XVII, 227 pages
978-3-030-93014-1 (ISBN)
Description
Conservation and balance laws on networks have been the subject of much research interest given their wide range of applications to real-world processes, particularly traffic flow. This open access monograph is the first to investigate different types of control problems for conservation laws that arise in the modeling of vehicular traffic. Four types of control problems are discussed - boundary, decentralized, distributed, and Lagrangian control - corresponding to, respectively, entrance points and tolls, traffic signals at junctions, variable speed limits, and the use of autonomy and communication. Because conservation laws are strictly connected to Hamilton-Jacobi equations, control of the latter is also considered. An appendix reviewing the general theory of initial-boundary value problems for balance laws is included, as well as an appendix illustrating the main concepts in the theory of conservation laws on networks.
More details
Product info
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Series
Edition
1st ed. 2022
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Illustrations
45
47 farbige Abbildungen, 45 s/w Abbildungen
XVII, 227 p. 92 illus., 47 illus. in color.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 20 mm
Weight
541 gr
ISBN-13
978-3-030-93014-1 (9783030930141)
DOI
10.1007/978-3-030-93015-8
Schweitzer Classification
Other editions
Additional editions
Alexandre Bayen | Maria Laura Delle Monache | Mauro Garavello
Control Problems for Conservation Laws with Traffic Applications
Modeling, Analysis, and Numerical Methods
Book
04/2022
1st Edition
Birkhäuser
€42.79
Shipment within 7-9 days
Persons
Alexandre Bayen is a Professor of Electrical Engineering and Computer Science at UC Berkeley, and the Director of the Institute of Transportation Studies.
Maria Laura Delle Monache is a research scientist at Inria, the French National Institute for computer Science and Applied Mathematics.
Mauro Garavello is an Associate Professor of Mathematical Analysis at the University of Milano Bicocca.
Paola Goatin is Research Director a Inria, the French National Institute for Research in Digital Science and Technology
Benedetto Piccoli is Distinguished Professor and the Joseph and Loretta Lopez Chair Professor of Mathematics at Rutgers University - Camden. He also serves as Vice Chancellor for Research.
Maria Laura Delle Monache is a research scientist at Inria, the French National Institute for computer Science and Applied Mathematics.
Mauro Garavello is an Associate Professor of Mathematical Analysis at the University of Milano Bicocca.
Paola Goatin is Research Director a Inria, the French National Institute for Research in Digital Science and Technology
Benedetto Piccoli is Distinguished Professor and the Joseph and Loretta Lopez Chair Professor of Mathematics at Rutgers University - Camden. He also serves as Vice Chancellor for Research.
Content
Introduction.- Boundary Control.- Decentralized Control.- Distributed Control.- Lagrangian Control.- Hamilton-Jacobi Equations.- Appendix A: Balance Laws with Boundary.- Conservation Laws on Networks.