- Tytuł:
- Theconjugate points sufficient conditions for an optimal control
- Autorzy:
- Szymanowska, A.
- Powiązania:
- https://bibliotekanauki.pl/articles/206818.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
pola ekstremali
problem Bolza
sterowanie optymalne
warunek wystarczający
field of extremals
generalized problem of Bolza
sufficient conditions - Opis:
- The paper concerns an application of the idea of field theory and the concept of "concourse of flights" to the sufficient optimality conditions for the optimal control problems stated in terms of focal and conjugate points. The concept of concourse of flights was begun by Young (1969), and later extended by Nowakowski (1988). In the paper the definition of a focal and conjugate point of a field of extremals is given. Using these concepts, we prove that the existence of a field of extremals without conjugate points implies the existence of concourse of flights and consequently we obtain the second order sufficient conditions for the generalized problem of Bolza. Another approach to the concept of focal and conjugate points is given by Zeidan (1983, 1984).
- Źródło:
-
Control and Cybernetics; 1998, 27, 3; 353-362
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł