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Control Problems for Conservation Laws with Traffic Applications: Modeling, Analysis, and Numerical Methods (Progress in Nonlinear Differential Equations and Their Applications, 99) - Hardcover
Synopsis
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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About the Author
Alexandre Bayen is a Professor of Electrical Engineering and Computer Science at UC Berkeley, and the Director of the Institute of Transportation Studies.
Maria Laura Delle Monache is a research scientist at Inria, the French National Institute for computer Science and Applied Mathematics.
Mauro Garavello is an Associate Professor of Mathematical Analysis at the University of Milano Bicocca.
Paola Goatin is Research Director a Inria, the French National Institute for Research in Digital Science and Technology
Benedetto Piccoli is Distinguished Professor and the Joseph and Loretta Lopez Chair Professor of Mathematics at Rutgers University - Camden. He also serves as Vice Chancellor for Research.
From the Back Cover
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.
"About this title" may belong to another edition of this title.
- PublisherBirkhäuser
- Publication date2022
- ISBN 10 3030930149
- ISBN 13 9783030930141
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages244
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Control Problems for Conservation Laws With Traffic Applications : Modeling, Analysis, and Numerical Methods
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Control Problems for Conservation Laws With Traffic Applications : Modeling, Analysis, and Numerical Methods
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Control Problems for Conservation Laws with Traffic Applications: Modeling, Analysis, and Numerical Methods (Progress in Nonlinear Differential Equations and Their Applications, 99)
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Control Problems for Conservation Laws with Traffic Applications: Modeling, Analysis, and Numerical Methods (Progress in Nonlinear Differential Equations and Their Applications, 99)
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Control Problems for Conservation Laws with Traffic Applications: Modeling, Analysis, and Numerical Methods (Progress in Nonlinear Differential Equations and Their Applications, 99)
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Control Problems for Conservation Laws with Traffic Applications
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Springer International Publishing Apr 2022, 2022
ISBN 10: 3030930149
ISBN 13: 9783030930141
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 248 pp. Englisch. Seller Inventory # 9783030930141
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Control Problems for Conservation Laws With Traffic Applications : Modeling, Analysis, and Numerical Methods
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Control Problems for Conservation Laws with Traffic Applications : Modeling, Analysis, and Numerical Methods
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783030930141
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Control Problems for Conservation Laws with Traffic Applications
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book is open access, which means that you have free and unlimited accessFirst monograph on different types of control problems for conservation laws arising in vehicular traffic modelingDescribes mathematical approaches that can be use. Seller Inventory # 527795996
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