Titelaufnahme

Titel
Optimal control for the elliptic system with polygonal state constraints
Verfasser/ VerfasserinKunisch, Karl In der Gemeinsamen Normdatei der DNB nachschlagen ; Liang, Kewei ; Lu, Wiliang
Erschienen in
SIAM Journal on Control and Optimization, 2010, Jg. 48, H. 8, S. 5053-5072
ErschienenSociety for Industrial and Applied Mathematics, 2010
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Publisher version
SpracheEnglisch
DokumenttypAufsatz in einer Zeitschrift
Schlagwörter (EN)optimal control / state constraints / semismooth Newton method / polygonal constraints / Slater condition
Projekt-/ReportnummerSFB-MOBIS / Report 2009-039
ISSN0363-0129
URNurn:nbn:at:at-ubg:3-3807 Persistent Identifier (URN)
DOI10.1137/090758155 
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Optimal control for the elliptic system with polygonal state constraints [1.05 mb]
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Zusammenfassung (Englisch)

This work is devoted to stationary optimal control problems with polygonal constraints on the components of the state. Existence of Lagrange multipliers, of different regularities, is verified for the cases with and without Slater condition holding. For the numerical realization a semismooth Newton method is proposed for an appropriately chosen family of regularized problems. The asymptotic behavior of the regularized problem class is studied, and numerical feasibility of the method is shown.

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