Temat: nonlinear control - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Sensitivity analysis for state constrained optimal control problems
Autorzy:: Malanowski, K.
Powiązania:: https://bibliotekanauki.pl/articles/206110.pdf
Data publikacji:: 2011
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: sensitivity analysis
cone-constrained optimization problems
nonlinear optimal control
first order state constraints
Opis:: A sensitivity result for cone-constrained optimization problem in abstract Hilbert spaces is obtained, using a slight modification of Haraux's theorem on differentiability of the metric projection onto polyhedric sets. This result is applied to sensitivity analysis for nonlinear optimal control problems subject to first order state constraints.
Źródło:: Control and Cybernetics; 2011, 40, 4; 1043-1058
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: A characterization of stability and sensitivity properties for state-constrained optimal control
Autorzy:: Malanowski, K.
Powiązania:: https://bibliotekanauki.pl/articles/970245.pdf
Data publikacji:: 2007
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: sterowanie optymalne
optimal control
nonlinear ODEs
state constraints
parametric problems
stability and sensitivity analysis
Opis:: In a series of the recent papers of the author, it was shown that the solutions and Lagrange multipliers of state-constrained optimal control problems are locally Lipschitz continuous and directionally differentiable functions of the parameter, under usual constraint qualifications and weakened second order conditions. In this paper, it is shown that those conditions are not only sufficient, but also necessary. Thus, they consitute a characterization of Lipschitz stability and sensitivity properties for state-constrained optimal control problems.
Źródło:: Control and Cybernetics; 2007, 36, 3; 711-726
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

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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