Temat: mixed constraints - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Convergence of the Lagrange-Newton Method for Optimal Control Problems
Autorzy:: Malanowski, K. D.
Powiązania:: https://bibliotekanauki.pl/articles/907971.pdf
Data publikacji:: 2004
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: sterowanie optymalne
ograniczenia mieszane
metoda Lagrange'a-Newtona
optimal control
nonlinear ODEs
mixed constraints
Lagrange-Newton method
Opis:: Convergence results for two Lagrange-Newton-type methods of solving optimal control problems are presented. It is shown how the methods can be applied to a class of optimal control problems for nonlinear ODEs, subject to mixed control-state constraints. The first method reduces to an SQP algorithm. It does not require any information on the structure of the optimal solution. The other one is the shooting method, where information on the structure of the optimal solution is exploited. In each case, conditions for well-posedness and local quadratic convergence are given. The scope of applicability is briefly discussed.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2004, 14, 4; 531-540
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Optimal sparse boundary control for a semilinear parabolic equation with mixed control-state constraints
Autorzy:: Casas, Eduardo
Troltzsch, Fredi
Powiązania:: https://bibliotekanauki.pl/articles/970122.pdf
Data publikacji:: 2019
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: semilinear parabolic equation
optimal control
sparse boundary control
mixed control-state constraints
Opis:: A problem of sparse optimal boundary control for a semilinear parabolic partial diﬀerential equation is considered, where pointwise bounds on the control and mixed pointwise control-state constraints are given. A standard quadratic objective functional is to be minimized that includes a Tikhonov regularization term and the L1-norm of the control accounting for the sparsity. Applying a recent linearization theorem, we derive ﬁrst-order necessary optimality conditions in terms of a variational inequality under linearized mixed control state constraints. Based on this preliminary result, a Lagrange multiplier rule with bounded and measurable multipliers is derived and sparsity results on the optimal control are demonstrated.
Źródło:: Control and Cybernetics; 2019, 48, 1; 89-124
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: On the development of Pontryagins Maximum Principle in the works of A.Ya. Dubovitskii and A.A. Milyutin
Autorzy:: Dmitruk, A. V.
Powiązania:: https://bibliotekanauki.pl/articles/970915.pdf
Data publikacji:: 2009
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: Euler-Lagrange equation
maximum principle
classes of variations
Pontryagin minimum
state constraints
measure in adjoint equation
regular and nonregular mixed constraints
phase points
closure with respect to measure
three-storey theorem
Opis:: We give a short review of the development and generalizations of the Pontryagin Maximum Principle, provided in the studies of Dubovitskii and Milyutin in the 1960s and later years.
Źródło:: Control and Cybernetics; 2009, 38, 4A; 923-957
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Local quadratic convergence of SQP for elliptic optimal control problems with mixed control-state constraints
Autorzy:: Griesse, R.
Metla, N.
Rosch, A.
Powiązania:: https://bibliotekanauki.pl/articles/969868.pdf
Data publikacji:: 2010
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: optimal control
sequential quadratic programming
mixed control-state constraints
implicit function theorem
generalized equation
Opis:: Semilinear elliptic optimal control problems with pointwise control and mixed control-state constraints are considered. Necessary and sufficient optimality conditions are given. The equivalence of the SQP method and Newton's method for a generalized equation is discussed. Local quadratic convergence of the SQP method is proved.
Źródło:: Control and Cybernetics; 2010, 39, 3; 717-738
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

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