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Control Problems for Conservation Laws with Traffic Applications

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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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Publisher

Cham, Switzerland : Birkhäuser Cham., 2022

Collation

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Language

English

ISBN/ISSN

978-3-030-93015-8

Classification

NONE

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

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Subject(s)

Hyperbolic Conservation Laws

Specific Detail Info

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Statement of Responsibility

Alexandre Bayen , Maria Laura Delle Monache , Mauro Garavello , Paola Goatin , Benedetto Piccoli

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Cataloger

dianna

Source

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Validator

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Digital Object Identifier (DOI)

https://doi.org/10.1007/978-3-030-93015-8

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