- Tytuł:
- Jacobi type conditions for singular extremals
- Autorzy:
- Dmitruk, A. V.
- Powiązania:
- https://bibliotekanauki.pl/articles/969606.pdf
- Data publikacji:
- 2008
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
singular extremal
Goh transformation
Legendre quadratic form
Euler-Jacobi equation
conjugate point - Opis:
- We consider the class of optimal control problems linear in the control, and study a singular extremal. If the Lagrange multipliers are unique, the quadratic order optimality conditions have the form of sign definiteness of a quadratic functional (the second variation of Lagrange function) with totally zero Legendre coefficient. Using the Goh transformation, we convert it to a functional possibly satisfying the strengthened Legendre condition, involving also an additional parameter, and by applying the Hestenes approach, determine its sign definiteness in terms of the conjugate point, i.e. give Jacobi type conditions.
- Źródło:
-
Control and Cybernetics; 2008, 37, 2; 285-306
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł