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Control Problems for Conservation Laws with Traffic Applications

Name: Control Problems for Conservation Laws with Traffic Applications
Brand: Springer Nature Switzerland AG
SKU: 38504472
Price: 33.99 EUR
Availability: InStock
Author: Alexandre Bayen
ISBN: 9783030930141

Modeling, Analysis, and Numerical Methods

Alexandre Bayen

Maria Laura Delle Monache

Mauro Garavello

Paola Goatin

Benedetto Piccoli

Lingua

Inglese

Libro Rigido

Codice Libristo: 38504472

Casa editrice Springer Nature Switzerland AG, aprile 2022

Conservation and balance laws on networks have been the subject of much research interest given thei... Descrizione completa

Codice Libristo: 38504472

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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.