Temat: order conditions - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Second-order optimality conditions for semilinear elliptic control problems with constraints on the gradient of the state
Autorzy:: Casas, E.
Fernandez, J.
Mateos, M.
Powiązania:: https://bibliotekanauki.pl/articles/206719.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: sterowanie optymalne
optimal control
second order conditions
semilinear elliptic PDE
state gradient constraints
Opis:: The aim of this paper is to state the second order necessary and sufficient optimality conditions for distributed control problems governed by the Neumann problem associated to a semilinear elliptic partial differential equation. Bound constraints ou control are considered, as well as equality and inequality constraints of integral type on the gradient of the state.
Źródło:: Control and Cybernetics; 1999, 28, 3; 463-479
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Optimality conditions for a class of optimal boundary control problems with quasilinear elliptic equations
Autorzy:: Casas, E.
Dhamo, V.
Powiązania:: https://bibliotekanauki.pl/articles/206408.pdf
Data publikacji:: 2011
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: optimal control
Neumann boundary control
quasi-linear elliptic equation
Pontryagin principle
second order optimality conditions
Opis:: First- and second-order optimality conditions are established for the boundary optimal control of quasilinear elliptic equations with pointwise constraints on the control. The theory is developed for Neumann controls in polygonal domains of dimension two. For the derivation of second-order sufficient optimality conditions, which is the main goal of this paper, the regularity of the solutions to the state equation and its linearization is studied in detail. Moreover, a Pontryagin principle is proved. The main difficulty in the analysis of these problems is the nonmonotone character of the state equation.
Źródło:: Control and Cybernetics; 2011, 40, 2; 457-490
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Exact penalization of pointwise constraints for optimal control problems
Autorzy:: Casas, E.
Powiązania:: https://bibliotekanauki.pl/articles/970884.pdf
Data publikacji:: 2009
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: optimal control
semilinear elliptic equations
pointwise state constraints
exact penalization
first and second order optimality conditions
Opis:: In this paper we consider a control problem governed by a semilinear elliptic equation with pointwise control and state constraints. We analyze the existence of an exact penalization of the state constraints. In particular, we prove that the first and second order optimality conditions imply the existence of such a penalization. Finally, we prove some extra regularity of the strict local minima of the control problem, assuming the existence of an exact penalization for them.
Źródło:: Control and Cybernetics; 2009, 38, 4A; 1131-1150
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

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