- Tytuł:
- The shooting approach in analyzing bang-bang extremals with simultaneous control switches
- Autorzy:
- Felgenhauer, U.
- Powiązania:
- https://bibliotekanauki.pl/articles/969603.pdf
- Data publikacji:
- 2008
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
bang-bang control
Lipschitz stability in optimal control
nonsmooth optimization
shooting type methods - Opis:
- The paper is devoted to stability investigation of optimal structure and switching points position for parametric bang-bang control problem with special focus on simultaneous switches of two control components. In contrast to problems where only simple switches occur, the switching points in general are no longer differentiable functions of input parameters. Conditions for Lipschitz stability are found which generalize known sufficient optimality conditions to nonsmooth situation. The analysis makes use of backward shooting representation of extremals, and of generalized implicit function theorems. The Lipschitz properties are illustrated for an example by constructing backward parameterized family of extremals and providing first-order switching points prediction.
- Źródło:
-
Control and Cybernetics; 2008, 37, 2; 307-327
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł