- Tytuł:
- Error analysis of discrete approximations to bang-bang optimal control problems: the linear case
- Autorzy:
- Veliov, V. M.
- Powiązania:
- https://bibliotekanauki.pl/articles/970563.pdf
- Data publikacji:
- 2005
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
liniowy system sterowania
aproksymacja dyskretna
szacowanie błędów
linear control systems
discrete approximations
error estimates - Opis:
- The paper presents an error estimate for Runge-Kutta direct discretizations of terminal optimal control problems for linear systems. The optimal control for such problems is typically discontinuous, and Lipschitz stability of the solution with respect to perturbations does not necessarily hold. The estimate (in terms of the optimal controls) is of first order if certain recently obtained sufficient conditions for structural stability hold, and of fractional order, otherwise. The main tool in the proof is the established relation between the local convexity index of the reachable set and the multiplicity of zeros of appropriate switching functions associated with the problem.
- Źródło:
-
Control and Cybernetics; 2005, 34, 3; 967-982
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł