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Control Problems for Conservation Laws with Traffic Applications

von Alexandre Bayen, Benedetto Piccoli, Maria Laura Delle Monache, Mauro Garavello und Paola Goatin
Softcover - 9783030930172
42,79 €
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Hardcover - 9783030930141
53,49 €

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Hardcover - 9783030930141
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Beschreibung

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.  


Modeling, Analysis, and Numerical Methods

Modeling, Analysis, and Numerical Methods

Details

Verlag Springer International Publishing
Ersterscheinung 24. April 2022
Maße 23.5 cm x 15.5 cm
Gewicht 382 Gramm
Format Softcover
ISBN-13 9783030930172
Auflage 1st ed. 2022
Seiten 227

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