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

• Päätekijä: Bayen, Alexandre (auth)
• Muut tekijät: Delle Monache, Maria Laura (auth), Garavello, Mauro (auth), Goatin, Paola (auth), Piccoli, Benedetto (auth)
• Aineistotyyppi: Elektroninen Kirjan osa
• Kieli: englanti
• Julkaistu: Cham Springer Nature 2022
• Sarja: Progress in Nonlinear Differential Equations and Their Applications; PNLDE Subseries in Control 99
• Aiheet: Calculus & mathematical analysis; Cybernetics & systems theory; Operational research; Hyperbolic Conservation Laws; Vehicular Traffic Modeling; Control Problems Conservation Laws; Hamilton-Jacobi Equations; Conservation Laws on Networks; Lighthill-Whitham-Richard Model; Topological Graphs
• Linkit: OAPEN Library: download the publication; OAPEN Library: description of the publication

Yhteenveto

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.

Ulkoasu

1 electronic resource (227 p.)

ISBN

978-3-030-93015-8
9783030930158

Pääsy

Open Access