03354nam 22006133u 450 991056468070332120230718112832.03-030-93015-7(CKB)5700000000081229EBL6961667(AU-PeEL)EBL6961667(MiAaPQ)EBC6961667(oapen)https://directory.doabooks.org/handle/20.500.12854/81671(PPN)262167697(EXLCZ)99570000000008122920220617d2022|||| uy 0engur|n|---|||||txtrdacontentcrdamediacrrdacarrierControl problems for conservation laws with traffic applications modeling, analysis, and numerical methods /Alexandre Bayen [et al.]Cham Springer International Publishing AG20221 online resource (xvii, 227 pages) illustrations (some colour)Progress in nonlinear differential equations and their applicationsv.99Description based upon print version of record.3-030-93014-9 Introduction Boundary Control Decentralized Control Distributed Control Lagrangian Control Hamilton-Jacobi Equations Appendix A: Balance Laws with Boundary Conservation Laws on NetworksConservation 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.Progress in nonlinear differential equations and their applications99Conservation laws (Mathematics)Lleis de conservació (Matemàtica)thubLlibres electrònicsthubHyperbolic Conservation LawsVehicular Traffic ModelingControl Problems Conservation LawsHamilton-Jacobi EquationsConservation Laws on NetworksLighthill-Whitham-Richard ModelTopological GraphsConservation laws (Mathematics).Lleis de conservació (Matemàtica)Bayen Alexandre M1257777Delle Monache Maria Laura1235574Garavello Mauro520337Goatin Paola1235575Piccoli Benedetto1968-760536AU-PeELAU-PeELAU-PeELBOOK9910564680703321Control problems for conservation laws with traffic applications2914668UNINA