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Record Nr. |
UNINA9910564680703321 |
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Autore |
Bayen Alexandre M |
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Titolo |
Control Problems for Conservation Laws with Traffic Applications : Modeling, Analysis, and Numerical Methods / / by Alexandre Bayen, Maria Laura Delle Monache, Mauro Garavello, Paola Goatin, Benedetto Piccoli |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2022 |
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ISBN |
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Edizione |
[1st ed. 2022.] |
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Descrizione fisica |
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1 online resource (xvii, 227 pages) : illustrations (some colour) |
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Collana |
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PNLDE Subseries in Control, , 2731-7374 ; ; 99 |
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Classificazione |
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BUS049000MAT034000SCI064000 |
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Altri autori (Persone) |
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Delle MonacheMaria Laura |
GaravelloMauro |
GoatinPaola |
PiccoliBenedetto <1968-> |
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Disciplina |
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Soggetti |
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Differential equations |
System theory |
Control theory |
Operations research |
Management science |
Differential Equations |
Systems Theory, Control |
Operations Research, Management Science |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di contenuto |
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Introduction -- Boundary Control -- Decentralized Control -- Distributed Control -- Lagrangian Control -- Hamilton-Jacobi Equations -- Appendix A: Balance Laws with Boundary -- Conservation Laws on Networks. |
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Sommario/riassunto |
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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 |
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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. . |
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