Control Problems for Conservation Laws with Traffic Applications: Modeling, Analysis, and Numerical Methods (1st ed. 2022) (Progress in Nonlinear Differential Equations and Their Applications #99)

By: Benedetto Piccoli and Alexandre Bayen and Maria Laura Delle Monache and Mauro Garavello and Paola Goatin

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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.

Book Quality:: Publisher Quality
ISBN-13:: 9783030930158
Related ISBNs:: 9783030930141
Publisher:: Springer International Publishing
Date of Addition:: 07/25/22
Copyrighted By:: The Editor
Adult content:: No
Language:: English
Has Image Descriptions:: No
Categories:: Nonfiction, Science, Business and Finance, Mathematics and Statistics
Submitted By:: Bookshare Staff
Usage Restrictions:: This is a copyrighted book.