- Tytuł:
- Quadratures of Pontryagin extremals for optimal control problems
- Autorzy:
-
Rocha, E. A.
Torres, D. F. - Powiązania:
- https://bibliotekanauki.pl/articles/969990.pdf
- Data publikacji:
- 2006
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
Noether's theorem
Kozlov-Kolesnikov integrability
integrability by quadratures
optimal control - Opis:
- We obtain a method to compute effective first integrals by combining Noether's principle with the Kozlov-Kolesnikov integrability theorem. A sufficient condition for the integrability by quadratures of optimal control problems with controls taking values on open sets is obtained. We illustrate our approach on some problems taken from the literature. An alternative proof of the integrability of the sub-Riemannian nilpotent Lie group of type (2,3,5) is also given.
- Źródło:
-
Control and Cybernetics; 2006, 35, 4; 948-963
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł