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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