In an optimal visiting problem, we want to control a trajectory that has to pass as close as possible to a collection of target points or regions. We introduce a hybrid control-based approach for the classic problem where the trajectory can switch between a group of discrete states related to the targets of the problem. The model is subsequently adapted to a mean-field game framework to study viability and crowd fluxes to model a multitude of indistinguishable players.
Hybrid control for optimal visiting problems for a single player and for a crowd / Bagagiolo, F.; Festa, A.; Marzufero, L.. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - 29:1(2022). [10.1007/s00030-021-00737-0]
Titolo: | Hybrid control for optimal visiting problems for a single player and for a crowd | |
Autori: | ||
Data di pubblicazione: | 2022 | |
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Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s00030-021-00737-0 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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21_Bagagiolo_Article_HybridControlForOptimalVisitin.pdf | 2a Post-print versione editoriale / Version of Record | Non Pubblico - Accesso privato/ristretto | Administrator Richiedi una copia | |
BagFesMar_definitiva.pdf | 2. Post-print / Author's Accepted Manuscript | PUBBLICO - Tutti i diritti riservati | Embargo: 09/12/2022 Richiedi una copia |
http://hdl.handle.net/11583/2950654