- Tytuł:
- Necessary optimality conditions for quasi-singular controls for systems with Caputo fractional derivatives
- Autorzy:
-
Yusubov, Shakir Sh.
Mahmudov, Elimhan N. - Powiązania:
- https://bibliotekanauki.pl/articles/27321480.pdf
- Data publikacji:
- 2023
- Wydawca:
- Polska Akademia Nauk. Czasopisma i Monografie PAN
- Tematy:
-
fractional derivative
fractional optimal control
necessary optimality condition - Opis:
- In this paper, we consider an optimal control problem in which a dynamical system is controlled by a nonlinear Caputo fractional state equation. First we get the linearized maximum principle. Further, the concept of a quasi-singular control is introduced and, on this basis, an analogue of the Legendre-Clebsch conditions is obtained. When the analogue of Legendre-Clebsch condition degenerates, a necessary high-order optimality condition is derived. An illustrative example is considered.
- Źródło:
-
Archives of Control Sciences; 2023, 33, 3; 463--496
1230-2384 - Pojawia się w:
- Archives of Control Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł