TY  - BOOK
AU  - Bayen,Alexandre
AU  - Delle Monache,Maria Laura
AU  - Garavello,Mauro
AU  - Goatin,Paola
AU  - Piccoli,Benedetto
ED  - SpringerLink (Online service)
TI  - Control Problems for Conservation Laws with Traffic Applications: Modeling, Analysis, and Numerical Methods 
T2  - PNLDE Subseries in Control,
SN  - 9783030930158
AV  - QA370-380 
U1  - 515.35 23
PY  - 2022///
CY  - Cham
PB  - Springer International Publishing, Imprint: Birkhäuser
KW  - Differential equations
KW  - System theory
KW  - Control theory
KW  - Operations research
KW  - Management science
KW  - Differential Equations
KW  - Systems Theory, Control
KW  - Operations Research, Management Science
N1  - Introduction -- Boundary Control -- Decentralized Control -- Distributed Control -- Lagrangian Control -- Hamilton-Jacobi Equations -- Appendix A: Balance Laws with Boundary -- Conservation Laws on Networks; Open Access
N2  - 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.
UR  - https://doi.org/10.1007/978-3-030-93015-8
ER  -