03862nam 22007935 450 991056468070332120251113185944.09783030930158303093015710.1007/978-3-030-93015-8(CKB)5700000000081229EBL6961667(AU-PeEL)EBL6961667(MiAaPQ)EBC6961667(oapen)https://directory.doabooks.org/handle/20.500.12854/81671(PPN)262167697(ODN)ODN0010067678(Au-PeEL)EBL6961667(OCoLC)1314612744(oapen)doab81671(DE-He213)978-3-030-93015-8(EXLCZ)99570000000008122920220423d2022 u| 0engur|n|---|||||txtrdacontentcrdamediacrrdacarrierControl Problems for Conservation Laws with Traffic Applications Modeling, Analysis, and Numerical Methods /by Alexandre Bayen, Maria Laura Delle Monache, Mauro Garavello, Paola Goatin, Benedetto Piccoli1st ed. 2022.Cham :Springer International Publishing :Imprint: Birkhäuser,2022.1 online resource (xvii, 227 pages) illustrations (some colour)PNLDE Subseries in Control,2731-7374 ;99Description based upon print version of record.9783030930141 3030930149 Introduction -- Boundary Control -- Decentralized Control -- Distributed Control -- Lagrangian Control -- Hamilton-Jacobi Equations -- Appendix A: Balance Laws with Boundary -- Conservation Laws on Networks.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. .PNLDE Subseries in Control,2731-7374 ;99Differential equationsSystem theoryControl theoryOperations researchManagement scienceDifferential EquationsSystems Theory, ControlOperations Research, Management ScienceDifferential equations.System theory.Control theory.Operations research.Management science.Differential Equations.Systems Theory, Control.Operations Research, Management Science.515.35BUS049000MAT034000SCI064000bisacshBayen Alexandre M1257777Delle Monache Maria Laura1235574Garavello Mauro520337Goatin Paola1235575Piccoli Benedetto1968-760536AU-PeELAU-PeELAU-PeELBOOK9910564680703321Control problems for conservation laws with traffic applications2914668UNINA