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]

Hybrid control for optimal visiting problems for a single player and for a crowd

Festa A.;
2022

Abstract

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.
File in questo prodotto:
File Dimensione Formato  
21_Bagagiolo_Article_HybridControlForOptimalVisitin.pdf

non disponibili

Tipologia: 2a Post-print versione editoriale / Version of Record
Licenza: Non Pubblico - Accesso privato/ristretto
Dimensione 2.66 MB
Formato Adobe PDF
2.66 MB Adobe PDF   Visualizza/Apri   Richiedi una copia
BagFesMar_definitiva.pdf

Open Access dal 10/12/2022

Tipologia: 2. Post-print / Author's Accepted Manuscript
Licenza: PUBBLICO - Tutti i diritti riservati
Dimensione 3.45 MB
Formato Adobe PDF
3.45 MB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2950654