| spelling |
oapen-20.500.12657-544252022-05-14T02:52:13Z Control Problems for Conservation Laws with Traffic Applications Bayen, Alexandre Delle Monache, Maria Laura Garavello, Mauro Goatin, Paola Piccoli, Benedetto Hyperbolic Conservation Laws Vehicular Traffic Modeling Control Problems Conservation Laws Hamilton-Jacobi Equations Conservation Laws on Networks Lighthill-Whitham-Richard Model Topological Graphs bic Book Industry Communication::P Mathematics & science::PB Mathematics::PBK Calculus & mathematical analysis bic Book Industry Communication::G Reference, information & interdisciplinary subjects::GP Research & information: general::GPF Information theory::GPFC Cybernetics & systems theory bic Book Industry Communication::K Economics, finance, business & management::KJ Business & management::KJT Operational research 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. 2022-05-13T12:18:56Z 2022-05-13T12:18:56Z 2022 book ONIX_20220513_9783030930158_17 9783030930158 https://library.oapen.org/handle/20.500.12657/54425 eng Progress in Nonlinear Differential Equations and Their Applications; PNLDE Subseries in Control application/pdf n/a 978-3-030-93015-8.pdf https://link.springer.com/978-3-030-93015-8 Springer Nature Birkhäuser 10.1007/978-3-030-93015-8 10.1007/978-3-030-93015-8 6c6992af-b843-4f46-859c-f6e9998e40d5 9783030930158 Birkhäuser 99 227 Cham open access
|
| description |
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.
|
