Control Problems for Conservation Laws with Traffic Applications
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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| Үндсэн зохиолчид: | , , , , |
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| Формат: | Online |
| Хэл сонгох: | англи |
| Хэвлэсэн: |
Springer Nature
2022
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| Нөхцлүүд: | |
| Онлайн хандалт: | ONIX_20220513_9783030930158_17 |
| Шошгууд: |
Шошго байхгүй, Энэхүү баримтыг шошголох эхний хүн болох!
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| _version_ | 1869516047510405120 |
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| author | Bayen, Alexandre Delle Monache, Maria Laura Garavello, Mauro Goatin, Paola Piccoli, Benedetto |
| author_browse | Bayen, Alexandre Delle Monache, Maria Laura Garavello, Mauro Goatin, Paola Piccoli, Benedetto |
| author_facet | Bayen, Alexandre Delle Monache, Maria Laura Garavello, Mauro Goatin, Paola Piccoli, Benedetto |
| author_sort | Bayen, Alexandre |
| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-81671 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2022 |
| publishDateRange | 2022 |
| publishDateSort | 2022 |
| publisher | Springer Nature |
| publisherStr | Springer Nature |
| record_format | ojs |
| spelling | doab-20.500.12854ir-816712025-03-15T17:46:44Z Control Problems for Conservation Laws with Traffic Applications Bayen, Alexandre Delle Monache, Maria Laura Garavello, Mauro Goatin, Paola Piccoli, Benedetto Hyperbolic Conservation Laws Vehicular Traffic Modeling Control Problems Conservation Laws Hamilton-Jacobi Equations Conservation Laws on Networks Lighthill-Whitham-Richard Model Topological Graphs 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. 2022-05-14T04:02:28Z 2022-05-14T04:02:28Z 2022-05-13T12:18:56Z 2022 book ONIX_20220513_9783030930158_17 OCN: 1312637924 https://library.oapen.org/handle/20.500.12657/54425 9783030930158 https://directory.doabooks.org/handle/20.500.12854/81671 eng Progress in Nonlinear Differential Equations and Their Applications; PNLDE Subseries in Control open access image/jpeg image/jpeg image/jpeg n/a n/a n/a https://library.oapen.org/bitstream/20.500.12657/54425/1/978-3-030-93015-8.pdf https://library.oapen.org/bitstream/20.500.12657/54425/1/978-3-030-93015-8.pdf https://library.oapen.org/bitstream/20.500.12657/54425/1/978-3-030-93015-8.pdf Springer Nature Birkhäuser 10.1007/978-3-030-93015-8 10.1007/978-3-030-93015-8 9fa3421d-f917-4153-b9ab-fc337c396b5a 9783030930158 Birkhäuser 227 Cham open access |
| spellingShingle | Hyperbolic Conservation Laws Vehicular Traffic Modeling Control Problems Conservation Laws Hamilton-Jacobi Equations Conservation Laws on Networks Lighthill-Whitham-Richard Model Topological Graphs Bayen, Alexandre Delle Monache, Maria Laura Garavello, Mauro Goatin, Paola Piccoli, Benedetto Control Problems for Conservation Laws with Traffic Applications |
| title | Control Problems for Conservation Laws with Traffic Applications |
| title_full | Control Problems for Conservation Laws with Traffic Applications |
| title_fullStr | Control Problems for Conservation Laws with Traffic Applications |
| title_full_unstemmed | Control Problems for Conservation Laws with Traffic Applications |
| title_short | Control Problems for Conservation Laws with Traffic Applications |
| title_sort | control problems for conservation laws with traffic applications |
| topic | Hyperbolic Conservation Laws Vehicular Traffic Modeling Control Problems Conservation Laws Hamilton-Jacobi Equations Conservation Laws on Networks Lighthill-Whitham-Richard Model Topological Graphs |
| topic_facet | Hyperbolic Conservation Laws Vehicular Traffic Modeling Control Problems Conservation Laws Hamilton-Jacobi Equations Conservation Laws on Networks Lighthill-Whitham-Richard Model Topological Graphs |
| url | ONIX_20220513_9783030930158_17 |
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