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Control problems for conservation laws with traffic applications

Bayen, Alexandre - Nama Orang; Monache, Maria Laura Delle - Nama Orang; Garavello, Mauro - Nama Orang; Goatin, Paola - Nama Orang; Piccoli, Benedetto - Nama Orang;

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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Informasi Detail
Judul Seri
-
No. Panggil
512.94 CON c
Penerbit
Cham, Switzerland : Birkhäuser., 2022
Deskripsi Fisik
xvii, 227p, ; ill
Bahasa
English
ISBN/ISSN
9783030930158
Klasifikasi
512.94
Tipe Isi
text
Tipe Media
computer
Tipe Pembawa
online resource
Edisi
-
Subjek
Humans
Accidents, Traffic
Automobile Driving
Info Detail Spesifik
-
Pernyataan Tanggungjawab
-
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