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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 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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Detail Information
Series Title
-
Call Number
512.94 CON c
Publisher
Cham, Switzerland : Birkhäuser.,
Collation
xvii, 227p, ; ill
Language
English
ISBN/ISSN
9783030930158
Classification
512.94
Content Type
-
Media Type
-
Carrier Type
-
Edition
1st
Subject(s)
Management science
Operations research
Differential equations
Systems theory
Control
Specific Detail Info
-
Statement of Responsibility
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No other version available

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