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Control problems for conservation laws with traffic applications : modeling, analysis, and numerical methods / / Alexandre Bayen [et al.]



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Autore: Bayen Alexandre M Visualizza persona
Titolo: Control problems for conservation laws with traffic applications : modeling, analysis, and numerical methods / / Alexandre Bayen [et al.] Visualizza cluster
Pubblicazione: Cham, : Springer International Publishing AG, 2022
Descrizione fisica: 1 online resource (xvii, 227 pages) : illustrations (some colour)
Soggetto topico: Conservation laws (Mathematics)
Lleis de conservació (Matemàtica)
Soggetto genere / forma: Llibres electrònics
Soggetto non controllato: Hyperbolic Conservation Laws
Vehicular Traffic Modeling
Control Problems Conservation Laws
Hamilton-Jacobi Equations
Conservation Laws on Networks
Lighthill-Whitham-Richard Model
Topological Graphs
Altri autori: Delle MonacheMaria Laura  
GaravelloMauro  
GoatinPaola  
PiccoliBenedetto <1968->  
Note generali: Description based upon print version of record.
Nota di contenuto: Introduction Boundary Control Decentralized Control Distributed Control Lagrangian Control Hamilton-Jacobi Equations Appendix A: Balance Laws with Boundary Conservation Laws on Networks
Sommario/riassunto: 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.
Titolo autorizzato: Control problems for conservation laws with traffic applications  Visualizza cluster
ISBN: 3-030-93015-7
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 996472036303316
Lo trovi qui: Univ. di Salerno
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Serie: Progress in nonlinear differential equations and their applications ; 99