| Autor: |
Luong V. Nguyen, Nguyen T. Thu |
| Jazyk: |
angličtina |
| Rok vydání: |
2020 |
| Předmět: |
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| Zdroj: |
IEEE Access, Vol 8, Pp 46596-46604 (2020) |
| Druh dokumentu: |
article |
| ISSN: |
2169-3536 |
| DOI: |
10.1109/ACCESS.2020.2979061 |
| Popis: |
In this paper, we first present formulas for computing the Fréchet subdifferentials and Fréchet singular subdifferentials of the minimal time function $\mathscr {T}$ for a differential inclusion in $\mathbb {R}^{n}$ with a general target $K$ . These formulas are characterized in terms of Fréchet normal cones to a sub-level set of $\mathscr {T}$ and a level set of the minimized Hamiltonian associated with the differential inclusion. Our results extend, improve and complement to existing results. An application to sensitivity analysis for a class of time optimal control problems is also given. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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