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

• Ngā kaituhi matua: Bayen, Alexandre (Author), Delle Monache, Maria Laura (Author), Garavello, Mauro (Author), Goatin, Paola (Author), Piccoli, Benedetto (Author)
• Kaituhi rangatōpū: SpringerLink (Online service)
• Hōputu: Tāhiko īPukapuka
• Reo: Ingarihi
• I whakaputaina: Cham : Springer International Publishing : Imprint: Birkhäuser, 2022.
• Putanga: 1st ed. 2022.
• Rangatū: PNLDE Subseries in Control, 99
• Ngā marau: Differential equations.; System theory.; Control theory.; Operations research.; Management science.; Differential Equations.; Systems Theory, Control.; Operations Research, Management Science.
• Urunga tuihono: Link to Metadata

Whakarāpopototanga

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. .

Whakaahuatanga ōkiko

XVII, 227 p. 92 illus., 47 illus. in color. online resource.

ISBN

9783030930158

ISSN

2731-7374 ;

DOI

10.1007/978-3-030-93015-8

Urunga

Open Access