Temat: implicit function theorem - Katalog OPAC zbiorów

Skocz do pozycji: 1.

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

Skocz do pozycji: 2.

Tytuł:: Application of the classical implicit function theorem in sensitivity analysis of parametric optimal control
Autorzy:: Malanowski, K.
Powiązania:: https://bibliotekanauki.pl/articles/206654.pdf
Data publikacji:: 1998
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: równania różniczkowe nieliniowe
różniczkowalność rozwiązań
sterowanie optymalne parametryczne
differentiability of solutions
implicit function theorem
nonlinear ordinary differential equations
parametric optimal control
state constraints
Opis:: A family {(O[sub h])} of parametric optimal control problems for nonlinear ODEs is considered. The problems are subject to pointwise inequality type state constraints. It is assumed that the reference solution is regular. The original problems (O[sub h]) are substituted by problems [...] subject to equality type constraints with the sets of activity depending on the parameter. Using the classical implicit function theorem, conditions are derived under which stationary points of [...] are Frechet differentiable functions of the parameter. It is shown that, under additional conditions, the stationary points of [...] correspond to the solutions and Lagrange multipliers of (O[sub h]9).
Źródło:: Control and Cybernetics; 1998, 27, 3; 335-352
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

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