We compute the asymptotic for the eigenvalues of a particular class of compact operators deeply linked with the second variation of optimal control problems. We characterize this family in terms of a set of finite dimensional data and we apply this results to a particular class of singular extremal to get a nice description of the spectrum of the second variation.
Operators Arising as Second Variation of Optimal Control Problems and Their Spectral Asymptotics
Stefano Baranzini
2023-01-01
Abstract
We compute the asymptotic for the eigenvalues of a particular class of compact operators deeply linked with the second variation of optimal control problems. We characterize this family in terms of a set of finite dimensional data and we apply this results to a particular class of singular extremal to get a nice description of the spectrum of the second variation.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
s10883-022-09605-1-2.pdf
Accesso aperto
Tipo di file:
PDF EDITORIALE
Dimensione
521.73 kB
Formato
Adobe PDF
|
521.73 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
