Reduced-Order Multiobjective Optimal Control of Semilinear Parabolic Problems

Iapichino, Laura; Trenz, Stefan; Volkwein, Stefan

Reduced-Order Multiobjective Optimal Control of Semilinear Parabolic Problems

Dateien

Iapichino_0-313874.pdfGröße: 586.18 KBDownloads: 424

Datum

2015

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik
Zukunftskolleg

Publikationstyp

Working Paper/Technical Report

Publikationsstatus

Published

Zusammenfassung

In this paper a reduced-order strategy is applied to solve a multiobjective optimal control problem governed by semilinear parabolic partial differential equations. These problems often arise in practical applications, where the quality of the system behavior has to be measured by more than one criterium. The weighted sum method is exploited for defining scalar-valued nonlinear optimal control problems built by introducing additional optimization parameters. The optimal controls corresponding to specific choices of the optimization parameters are efficiently computed by the reduced-order method. The accuracy is guaranteed by an a-posteriori error estimate.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Multiobjective optimization, optimal control, reduced-order methods, semilinear parabolic problems

Zitieren

ISO 690

IAPICHINO, Laura, Stefan TRENZ, Stefan VOLKWEIN, 2015. Reduced-Order Multiobjective Optimal Control of Semilinear Parabolic Problems

BibTex

@techreport{Iapichino2015Reduc-32813,
  year={2015},
  series={Konstanzer Schriften in Mathematik},
  title={Reduced-Order Multiobjective Optimal Control of Semilinear Parabolic Problems},
  number={347},
  author={Iapichino, Laura and Trenz, Stefan and Volkwein, Stefan}
}

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Universitätsbibliographie

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