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020 _a9783030930158
_9978-3-030-93015-8
024 7 _a10.1007/978-3-030-93015-8
_2doi
050 4 _aQA370-380
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
072 7 _aPBKJ
_2thema
082 0 4 _a515.35
_223
100 1 _aBayen, Alexandre.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aControl Problems for Conservation Laws with Traffic Applications
_h[electronic resource] :
_bModeling, Analysis, and Numerical Methods /
_cby Alexandre Bayen, Maria Laura Delle Monache, Mauro Garavello, Paola Goatin, Benedetto Piccoli.
250 _a1st ed. 2022.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Birkhäuser,
_c2022.
300 _aXVII, 227 p. 92 illus., 47 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aPNLDE Subseries in Control,
_x2731-7374 ;
_v99
505 0 _aIntroduction -- Boundary Control -- Decentralized Control -- Distributed Control -- Lagrangian Control -- Hamilton-Jacobi Equations -- Appendix A: Balance Laws with Boundary -- Conservation Laws on Networks.
506 0 _aOpen Access
520 _aConservation 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. .
650 0 _aDifferential equations.
650 0 _aSystem theory.
650 0 _aControl theory.
650 0 _aOperations research.
650 0 _aManagement science.
650 1 4 _aDifferential Equations.
650 2 4 _aSystems Theory, Control.
650 2 4 _aOperations Research, Management Science.
700 1 _aDelle Monache, Maria Laura.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aGaravello, Mauro.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aGoatin, Paola.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aPiccoli, Benedetto.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783030930141
776 0 8 _iPrinted edition:
_z9783030930165
776 0 8 _iPrinted edition:
_z9783030930172
830 0 _aPNLDE Subseries in Control,
_x2731-7374 ;
_v99
856 4 0 _uhttps://doi.org/10.1007/978-3-030-93015-8
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
912 _aZDB-2-SOB
999 _c37754
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