Control Problems for Conservation Laws with Traffic Applications Modeling, Analysis, and Numerical Methods /
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 a...
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| Main Authors: | , , , , |
|---|---|
| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2022.
|
| Edition: | 1st ed. 2022. |
| Series: | PNLDE Subseries in Control,
99 |
| Subjects: | |
| Online Access: | Link to Metadata |
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| 020 | |a 9783030930158 |9 978-3-030-93015-8 | ||
| 024 | 7 | |a 10.1007/978-3-030-93015-8 |2 doi | |
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| 100 | 1 | |a Bayen, Alexandre. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Control Problems for Conservation Laws with Traffic Applications |h [electronic resource] : |b Modeling, Analysis, and Numerical Methods / |c by Alexandre Bayen, Maria Laura Delle Monache, Mauro Garavello, Paola Goatin, Benedetto Piccoli. |
| 250 | |a 1st ed. 2022. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Birkhäuser, |c 2022. | |
| 300 | |a XVII, 227 p. 92 illus., 47 illus. in color. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a PNLDE Subseries in Control, |x 2731-7374 ; |v 99 | |
| 505 | 0 | |a Introduction -- Boundary Control -- Decentralized Control -- Distributed Control -- Lagrangian Control -- Hamilton-Jacobi Equations -- Appendix A: Balance Laws with Boundary -- Conservation Laws on Networks. | |
| 506 | 0 | |a Open Access | |
| 520 | |a 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. . | ||
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a System theory. | |
| 650 | 0 | |a Control theory. | |
| 650 | 0 | |a Operations research. | |
| 650 | 0 | |a Management science. | |
| 650 | 1 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Systems Theory, Control. |
| 650 | 2 | 4 | |a Operations Research, Management Science. |
| 700 | 1 | |a Delle Monache, Maria Laura. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Garavello, Mauro. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Goatin, Paola. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Piccoli, Benedetto. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783030930141 |
| 776 | 0 | 8 | |i Printed edition: |z 9783030930165 |
| 776 | 0 | 8 | |i Printed edition: |z 9783030930172 |
| 830 | 0 | |a PNLDE Subseries in Control, |x 2731-7374 ; |v 99 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-030-93015-8 |z Link to Metadata |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 912 | |a ZDB-2-SOB | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||