Temat: regularization - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Regularization and discretization of linear-quadratic control problems
Autorzy:: Alt, W.
Seydenschwanz, M.
Powiązania:: https://bibliotekanauki.pl/articles/206162.pdf
Data publikacji:: 2011
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: optimal control
bang-bang control
regularization
discretization
Opis:: We analyze regularizations of a class of linear-quadratic optimal control problems with control appearing linearly. It is shown that if the optimal control is bang-bang or if a coercivity condition for the state variables is satisfied, the solutions are continuous functions of the regularization parameter. Combining error estimates for Euler discretizations of the regularized problems with those for the regularization error, we choose the regularization parameter in dependence of the meshsize to obtain optimal convergence rates for the discrete solutions. Numerical experiments confirm the theoretical findings.
Źródło:: Control and Cybernetics; 2011, 40, 4; 903-920
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: On convergence of regularization methods for nonlinear parabolic optimal control problems with control and state constraints
Autorzy:: Neitzel, I.
Troltzsch, F.
Powiązania:: https://bibliotekanauki.pl/articles/970314.pdf
Data publikacji:: 2008
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: optimal control
semilinear parabolic equation
pointwise state constraints
Moreau-Yosida regularization
Lavrentiev regularization
convergence
strong regularity
local uniqueness
Opis:: Moreau-Yosida and Lavrentiev type regularization methods are considered for nonlinear optimal control problems governed by semilinear parabolic equations with bilateral pointwise control and state constraints. The convergence of optimal controls of the regularized problems is studied for regularization parameters tending to infinity or zero, respectively. In particular, the strong convergence of global and local solutions is addressed. Moreover, strong regularity of the Lavrentiev-regularized optimality system is shown under certain assumptions, which, in particular, allows to show that locally optimal solutions of the Lavrentiev regularized problems are locally unique. This analysis is based on a second-order sufficient optimality condition and a separation assumption on almost active sets.
Źródło:: Control and Cybernetics; 2008, 37, 4; 1013-1043
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: On the regularization error of state constrained Neumann control problems
Autorzy:: Krumbiegel, K.
Rosch, A.
Powiązania:: https://bibliotekanauki.pl/articles/969594.pdf
Data publikacji:: 2008
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: optimal control
elliptic equation
state constraints
boundary control
regularization
virtual control
Opis:: A linear elliptic optimal control problem with point-wise state constraints in the interior of the domain is considered. Furthermore, the control is given on the boundary with associated constraints. An artificial distributed control is introduced in the cost functional, in the state equation and in the state constraints. Since there are no control constraints for the artificial control, efficient numerical methods can be easily established. Based on a possible violation of the pure pointwise state constraints, an error estimate for the regularization error is derived. The theoretical results are illustrated by numerical tests.
Źródło:: Control and Cybernetics; 2008, 37, 2; 369-392
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

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