- Tytuł:
- Symbolic computation of variational symmetries in optimal control
- Autorzy:
-
Gouveia, P. D.
Torres, D. F.
Rocha, E. A. - Powiązania:
- https://bibliotekanauki.pl/articles/970020.pdf
- Data publikacji:
- 2006
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
sterowanie optymalne
variational symmetries
gauge term
nonconservative forces
computer algebra systems
Noether's theorem
first integrals
optimal control - Opis:
- We use a computer algebra system to compute, in an efficient way, optimal control variational symmetries up to a gauge term. The symmetries are then used to obtain families of Noether's first integrals, possibly in the presence of nonconservative external forces. As an application, we obtain eight independent first integrals for a sub-Riemannian nilpotent problem (2,3,5,8).
- Źródło:
-
Control and Cybernetics; 2006, 35, 4; 831-849
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł