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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, Band 99) - Hardcover

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

 
9783030930141: Control Problems for Conservation Laws with Traffic Applications: Modeling, Analysis, and Numerical Methods (Progress in Nonlinear Differential Equations and Their Applications, 99, Band 99)
Hardcover
ISBN 10: 3030930149 ISBN 13: 9783030930141
Verlag: Birkhäuser, 2022

Inhaltsangabe

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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Über die Autorin bzw. den Autor

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.

Von der hinteren Coverseite

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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Verlag
Birkhäuser
Erscheinungsdatum
2022
Sprache
Englisch
ISBN 10 
3030930149
ISBN 13 
9783030930141
Einband
Gebundene Ausgabe
Auflage
1
Anzahl der Seiten
244
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