- Tytuł:
- Singular extremals in multi-input time-optimal problems: a sufficient condition
- Autorzy:
-
Chittaro, F. C.
Stefani, G. - Powiązania:
- https://bibliotekanauki.pl/articles/970214.pdf
- Data publikacji:
- 2010
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
second variation
singular extremal
sufficient condition
Hamiltonian methods - Opis:
- In this paper we study second order sufficient conditions for the strong-local optimality of singular Pontryagin extremals. In particular, we focus on the minimum-time problem for a control-affine system with vector inputs. We use Hamiltonian methods to prove that the coercivity of a suitably-defined second variation - plus an involutivity assumption on the distribution of the controlled fields - is a sufficient condition for the strong optimality of a candidate extremal.
- Źródło:
-
Control and Cybernetics; 2010, 39, 4; 1029-1068
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł