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EnglishWe are going to define a time optimal control problem in the space of probability measures. Our aim is to model situations in which the initial position of a particle is not exactly known, even if the evolution is assumed to be deterministic. We will study some natural generalization of objects commonly used in control theory, proving some interesting properties. In particular we will focus on a comparison result between the classical minimum time function and its natural generalization to the probability measures setting.
| Titolo: | Time-optimal control problem in the space of probability measures |
| Autori: | |
| Data di pubblicazione: | 2015 |
| Serie: | |
| Abstract: | We are going to define a time optimal control problem in the space of probability measures. Our aim is to model situations in which the initial position of a particle is not exactly known, even if the evolution is assumed to be deterministic. We will study some natural generalization of objects commonly used in control theory, proving some interesting properties. In particular we will focus on a comparison result between the classical minimum time function and its natural generalization to the probability measures setting. |
| Handle: | http://hdl.handle.net/11562/933434 |
| ISBN: | 978-331926519-3 |
| Appare nelle tipologie: | 04.01 Contributo in atti di convegno |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| Cavagnari.pdf | Documento in Post-print |  | Open Access Visualizza/Apri |
http://hdl.handle.net/11562/933434
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