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Control Problems for Conservation Laws with Traffic Applications = Modeling, Analysis, and Numerical Methods /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Control Problems for Conservation Laws with Traffic Applications/ by Alexandre Bayen, Maria Laura Delle Monache, Mauro Garavello, Paola Goatin, Benedetto Piccoli.
其他題名:	Modeling, Analysis, and Numerical Methods /
作者:	Bayen, Alexandre.
其他作者:	Delle Monache, Maria Laura.
面頁冊數:	XVII, 227 p. 92 illus., 47 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Differential equations. -
電子資源:	https://doi.org/10.1007/978-3-030-93015-8
ISBN:	9783030930158

Control Problems for Conservation Laws with Traffic Applications = Modeling, Analysis, and Numerical Methods /
Bayen, Alexandre.

Control Problems for Conservation Laws with Traffic ApplicationsModeling, Analysis, and Numerical Methods /[electronic resource] :by Alexandre Bayen, Maria Laura Delle Monache, Mauro Garavello, Paola Goatin, Benedetto Piccoli. - 1st ed. 2022. - XVII, 227 p. 92 illus., 47 illus. in color.online resource. - PNLDE Subseries in Control,992731-7374 ;. - PNLDE Subseries in Control,97.

Introduction -- Boundary Control -- Decentralized Control -- Distributed Control -- Lagrangian Control -- Hamilton-Jacobi Equations -- Appendix A: Balance Laws with Boundary -- Conservation Laws on Networks.

Open Access

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. .

ISBN: 9783030930158

Standard No.: 10.1007/978-3-030-93015-8doiSubjects--Topical Terms:

527664
Differential equations.

LC Class. No.: QA370-380

Dewey Class. No.: 515.35

Control Problems for Conservation Laws with Traffic Applications = Modeling, Analysis, and Numerical Methods /
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