Theconjugate points sufficient conditions for an optimal control

• Autorzy: Szymanowska A.
• Języki publikacji: EN

Abstrakty

EN

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).

Słowa kluczowe

EN

field of extremals; generalized problem of Bolza; sufficient conditions

PL

pola ekstremali; problem Boltza; sterowanie optymalne; warunek wystarczający

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 1998
• Tom: Vol. 27, no 3
• Strony: 353--362
• Opis fizyczny: Bibliogr. 10 poz.,

Twórcy

autor

Szymanowska A.

• Faculty of Mathematics, University of Łódź, Stefana Banacha 22, 90-238 Łódź, Poland