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Control problems for conservation laws with traffic applicationsmodeling, analysis, and numerical methods /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Control problems for conservation laws with traffic applicationsby Alexandre Bayen ... [et al.].
Reminder of title:	modeling, analysis, and numerical methods /
Author:	Bayen, Alexandre.
other author:	Delle Monache, Maria Laura.
Published:	Cham :Springer International Publishing :2022.
Description:	xvii, 227 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Conservation laws (Mathematics)
Online resource:	https://doi.org/10.1007/978-3-030-93015-8
ISBN:	9783030930158$q(electronic bk.)

Control problems for conservation laws with traffic applicationsmodeling, analysis, and numerical methods /
Bayen, Alexandre.

Control problems for conservation laws with traffic applicationsmodeling, analysis, and numerical methods /[electronic resource] :by Alexandre Bayen ... [et al.]. - Cham :Springer International Publishing :2022. - xvii, 227 p. :ill. (some col.), digital ;24 cm. - PNLDE subseries in control,v. 992731-7374 ;. - PNLDE subseries in control ;v. 98..

Introduction -- Boundary Control -- Decentralized Control -- Distributed Control -- Lagrangian Control -- Hamilton-Jacobi Equations -- Appendix A: Balance Laws with Boundary -- Conservation Laws on Networks.

Open access.

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.

ISBN: 9783030930158$q(electronic bk.)

Standard No.: 10.1007/978-3-030-93015-8doiSubjects--Topical Terms:

243462
Conservation laws (Mathematics)

LC Class. No.: QA377 / .B39 2022

Dewey Class. No.: 515.35

Control problems for conservation laws with traffic applicationsmodeling, analysis, and numerical methods /
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245 1 0 $a Control problems for conservation laws with traffic applications $h [electronic resource] : $b modeling, analysis, and numerical methods / $c by Alexandre Bayen ... [et al.].
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300 $a xvii, 227 p. : $b ill. (some col.), digital ; $c 24 cm.
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505 0 $a Introduction -- Boundary Control -- Decentralized Control -- Distributed Control -- Lagrangian Control -- Hamilton-Jacobi Equations -- Appendix A: Balance Laws with Boundary -- Conservation Laws on Networks.
506 $a Open access.
520 $a 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.
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700 1 $a Delle Monache, Maria Laura. $3 922620
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