Control Problems for Conservation Laws with Traffic Applications : Modeling, Analysis, and Numerical Methods / Alexandre Bayen, Maria Laura Delle Monache, Mauro Garavello, Paola Goatin, Benedetto Piccoli.
Bayen, Alexandre, author.; Delle Monache, Maria Laura, author.; Garavello, Mauro, author.; Goatin, Paola, author.; Piccoli, Benedetto, 1968- author.
2022
QA377
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Title
Control Problems for Conservation Laws with Traffic Applications : Modeling, Analysis, and Numerical Methods / Alexandre Bayen, Maria Laura Delle Monache, Mauro Garavello, Paola Goatin, Benedetto Piccoli.
Author
Bayen, Alexandre, author.
ISBN
9783030930158 (electronic bk.)
3030930157 (electronic bk.)
9783030930141 (print)
DOI
https://doi.org/10.1007/978-3-030-93015-8
Published
Cham, Switzerland : Birkhäuser, 2022.
Language
English
Description
1 online resource (xvii, 227 pages) : illustrations (some color).
Item Number
10.1007/978-3-030-93015-8 doi
Call Number
QA377
Dewey Decimal Classification
515/.35
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Open access.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed April 26, 2022).
Added Author
Delle Monache, Maria Laura, author.
Garavello, Mauro, author.
Goatin, Paola, author.
Piccoli, Benedetto, 1968- author.
Series
Progress in nonlinear differential equations and their applications. PNLDE subseries in control ; v. 99.
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Introduction
Boundary Control
Decentralized Control
Distributed Control
Lagrangian Control
Hamilton-Jacobi Equations
Appendix A: Balance Laws with Boundary
Conservation Laws on Networks.

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