Regularization error estimates and discrepancy principle for optimal control problems with inequality constraints

• Autorzy: Wachsmuth D. , Wachsmuth G.
• Języki publikacji: EN

Abstrakty

EN

In this article we study the regularization of optimization problems by Tikhonov regularization. The optimization problems are subject to pointwise inequality constraints in L²(Ω). We derive a-priori regularization error estimates if the regularization parameter as well as the noise level tend to zero. We rely on an assumption that is a combination of a source condition and of a structural assumption on the active sets. Moreover, we introduce a strategy to choose the regularization parameter in dependence of the noise level. We prove convergence of this parameter choice rule with optimal order.

Słowa kluczowe

EN

source condition; discrepancy principle; nonsmooth optimization; convex constraints; sparsity; regularization error estimates

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2011
• Tom: Vol. 40, no 4
• Strony: 1125--1158
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Wachsmuth D.

autor

Wachsmuth G.

• Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences Altenbergerstraße 69, A-4040 Linz, Austria,

Bibliografia

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