The evoluted set at time T is the union of all images of an initial set A via the flow at times t ∈ (0, T). Its regularity is for interest for control, being the attainable set in several relevant examples.We first show that it is not sufficient for A to have negligible boundary (i.e. zero Lebesgue measure) to ensure that the evoluted set has negligible boundary too. Instead, we prove that such property holds when A is a C1,1 domain.
When does the evoluted set have negligible boundary?
Rossi, Francesco
2021-01-01
Abstract
The evoluted set at time T is the union of all images of an initial set A via the flow at times t ∈ (0, T). Its regularity is for interest for control, being the attainable set in several relevant examples.We first show that it is not sufficient for A to have negligible boundary (i.e. zero Lebesgue measure) to ensure that the evoluted set has negligible boundary too. Instead, we prove that such property holds when A is a C1,1 domain.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
EvolutedSetCDC.pdf
non disponibili
Tipologia:
Documento in Post-print
Licenza:
Accesso ristretto
Dimensione
324.82 kB
Formato
Adobe PDF
|
324.82 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
