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dc.contributor.authorBayen, Alexandre
dc.contributor.authorDelle Monache, Maria Laura
dc.contributor.authorGaravello, Mauro
dc.contributor.authorGoatin, Paola
dc.contributor.authorPiccoli, Benedetto
dc.date.accessioned2022-05-13T12:18:56Z
dc.date.available2022-05-13T12:18:56Z
dc.date.issued2022
dc.identifierONIX_20220513_9783030930158_17
dc.identifier.urihttps://library.oapen.org/handle/20.500.12657/54425
dc.description.abstractConservation 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.
dc.languageEnglish
dc.relation.ispartofseriesProgress in Nonlinear Differential Equations and Their Applications; PNLDE Subseries in Control
dc.subject.classificationbic Book Industry Communication::P Mathematics & science::PB Mathematics::PBK Calculus & mathematical analysis
dc.subject.classificationbic Book Industry Communication::G Reference, information & interdisciplinary subjects::GP Research & information: general::GPF Information theory::GPFC Cybernetics & systems theory
dc.subject.classificationbic Book Industry Communication::K Economics, finance, business & management::KJ Business & management::KJT Operational research
dc.subject.otherHyperbolic Conservation Laws
dc.subject.otherVehicular Traffic Modeling
dc.subject.otherControl Problems Conservation Laws
dc.subject.otherHamilton-Jacobi Equations
dc.subject.otherConservation Laws on Networks
dc.subject.otherLighthill-Whitham-Richard Model
dc.subject.otherTopological Graphs
dc.titleControl Problems for Conservation Laws with Traffic Applications
dc.title.alternativeModeling, Analysis, and Numerical Methods
dc.typebook
oapen.identifier.doi10.1007/978-3-030-93015-8
oapen.relation.isPublishedBy6c6992af-b843-4f46-859c-f6e9998e40d5
oapen.relation.isbn9783030930158
oapen.imprintBirkhäuser
oapen.series.number99
oapen.pages227
oapen.place.publicationCham


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