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Error estimates for abstract linear–quadratic optimal control problems using proper orthogonal decomposition

Error estimates for abstract linear–quadratic optimal control problems using proper orthogonal decomposition

Publikationstyp: Zeitschriftenartikel
Publikationsstatus: Published
Autor/innen: Hinze, Michael; Volkwein, Stefan
Erscheinungsjahr: 2008
Erschienen in: Computational Optimization and Applications ; 39 (2008), 3. - S. 319-345. - ISSN 0926-6003. - eISSN 1573-2894
DOI (zitierfähiger Link): https://dx.doi.org/10.1007/s10589-007-9058-4
Zusammenfassung:
In this paper we investigate POD discretizations of abstract linear–quadratic optimal control problems with control constraints. We apply the discrete technique developed by Hinze (Comput. Optim. Appl. 30:45–61, 2005) and prove error estimates for the corresponding discrete controls, where we combine error estimates for the state and the adjoint system from Kunisch and Volkwein (Numer. Math. 90:117–148, 2001; SIAM J. Numer. Anal. 40:492–515, 2002). Finally, we present numerical examples that illustrate the theoretical results.
Fachgebiet (DDC): 510 Mathematik
Schlagwörter: Optimal control, Evolution problems, Proper orthogonal decomposition, Error estimates

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HINZE, Michael, Stefan VOLKWEIN, 2008. Error estimates for abstract linear–quadratic optimal control problems using proper orthogonal decomposition. In: Computational Optimization and Applications. 39(3), pp. 319-345. ISSN 0926-6003. eISSN 1573-2894. Available under: doi: 10.1007/s10589-007-9058-4

@article{Hinze2008-04Error-41197, title={Error estimates for abstract linear–quadratic optimal control problems using proper orthogonal decomposition}, year={2008}, doi={10.1007/s10589-007-9058-4}, number={3}, volume={39}, issn={0926-6003}, journal={Computational Optimization and Applications}, pages={319--345}, author={Hinze, Michael and Volkwein, Stefan} }

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