Autor: Wachsmuth, D. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Regularity and stability of optimal controls of nonstationary Navier-Stokes equations
Autorzy:: Wachsmuth, D.
Powiązania:: https://bibliotekanauki.pl/articles/970093.pdf
Data publikacji:: 2005
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: sterowanie optymalne
równanie Naviera-Stokesa
stabilność Lipschitza
optimal control
Navier-Stokes equations
control constraints
Lipschitz stability
Opis:: The regularity and stability of optimal controls of nonstationary Navier-Stokes equations are investigated. Under suitable assumptions every control satisfying first-order necessary conditions is shown to be a continuous function in both space and time. Moreover, the behaviour of a locally optimal control under certain perturbations of the cost functional and the state equation is investigated. Lipschitz stability is proven provided a second-order sufficient optimality condition holds.
Źródło:: Control and Cybernetics; 2005, 34, 2; 387-409
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Regularization error estimates and discrepancy principle for optimal control problems with inequality constraints
Autorzy:: Wachsmuth, D.
Wachsmuth, G.
Powiązania:: https://bibliotekanauki.pl/articles/206129.pdf
Data publikacji:: 2011
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: source condition
discrepancy principle
nonsmooth optimization
convex constraints
sparsity
regularization error estimates
Opis:: 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.
Źródło:: Control and Cybernetics; 2011, 40, 4; 1125-1158
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

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