CINECA IRIS Institutional Research Information System
IRIS è la piattaforma adottata dall’Università degli Studi di Udine per gestire l’archivio aperto dei prodotti della ricerca. L’archivio contiene articoli, contributi in volume, monografie, interventi pubblicati in atti di convegno, Tesi di dottorato e altri materiali.
EnglishTypical convergence theorems for value functions and solutions of (parametric families of) optimization problems based on È-convergence of the corresponding functionals usually rely on equi-coercivity assumptions. Without them the connection between the È-limit of the functionals and values and/or solutions of the problems may be completely broken. The question to be discussed is whether it is possible, even in the absence of a coercivity- type assumption, to ßnd limiting optimization problems (parametrized in a similar way and determined by functionals which may diÞer from the È-limits of the functionals of the sequence) such that the value functions and solutions of the problems of the sequence converge in a certain sense to those of the limiting problems. A positive answer to the question is given to a class of variational problems (containing optimal control problems with linear dynamics).
| Titolo: | On Limits of Variational Problems. The case of a Non-Coercive Functional | |
| Autori: | ||
| Data di pubblicazione: | 2002 | |
| Rivista: | ||
| Abstract: | Typical convergence theorems for value functions and solutions of (parametric families of) optimization problems based on È-convergence of the corresponding functionals usually rely on equi-coercivity assumptions. Without them the connection between the È-limit of the functionals and values and/or solutions of the problems may be completely broken. The question to be discussed is whether it is possible, even in the absence of a coercivity- type assumption, to ßnd limiting optimization problems (parametrized in a similar way and determined by functionals which may diÞer from the È-limits of the functionals of the sequence) such that the value functions and solutions of the problems of the sequence converge in a certain sense to those of the limiting problems. A positive answer to the question is given to a class of variational problems (containing optimal control problems with linear dynamics). | |
| Handle: | http://hdl.handle.net/11390/674744 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| Freddi-Ioffe_JCA_2002.pdf | Altro materiale allegato | Non pubblico | Accesso ristretto Richiedi una copia |
http://hdl.handle.net/11390/674744
Copyright © 2022