Dublin Core
Title
Control Problems for Conservation Laws with Traffic Applications: Modeling, Analysis, and Numerical Methods
Subject
Operational research
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.
Creator
Bayen, Alexandre
Delle Monache, Maria Laura
Garavello, Mauro
Goatin, Paola
Piccoli, Benedetto
Source
https://library.oapen.org/handle/20.500.12657/54425
Publisher
Publisher: Springer Nature
Publisher website: https://www.springernature.com/gp/products/books
Date
2022
Contributor
Tatik
Rights
http://creativecommons.org/licenses/by/4.0/
Format
PDF
Language
English
Type
Textbooks
Identifier
DOI: 10.1007/978-3-030-93015-8
ISBN: 9783030930158, 9783030930158