Temat: implicit function theorem - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Control system defined by some integral operator
Autorzy:: Majewski, M.
Powiązania:: https://bibliotekanauki.pl/articles/255698.pdf
Data publikacji:: 2017
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: Volterra equation
implicit function theorem
sensitivity
Opis:: In the paper we consider a nonlinear control system governed by the Volterra integral operator. Using a version of the global implicit function theorem we prove that the control system under consideration is well-posed and robust, i.e. for any admissible control u there exists a uniquely defined trajectory xu which continuously depends on control u and the operator [formula] is continuously differentiable. The novelty of this paper is, among others, the application of the Bielecki norm in the space of solutions which allows us to weaken standard assumptions.
Źródło:: Opuscula Mathematica; 2017, 37, 2; 313-325
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: A free boundary stationary magnetohydrodynamic problem in connection with the electromagnetic casting process
Autorzy:: Roliński, Tomasz
Powiązania:: https://bibliotekanauki.pl/articles/1311497.pdf
Data publikacji:: 1995
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: free boundary
local existence and uniqueness
implicit function theorem
steady plane magnetohydrodynamics
electromagnetic casting
Opis:: We investigate the behaviour of the meniscus of a drop of liquid aluminium in the neighbourhood of a state of equilibrium under the influence of weak electromagnetic forces. The mathematical model comprises both Maxwell and Navier-Stokes equations in 2D. The meniscus is governed by the Young-Laplace equation, the data being the jump of the normal stress. To show the existence and uniqueness of the solution we use the classical implicit function theorem. Moreover, the differentiability of the operator solving this problem is established.
Źródło:: Annales Polonici Mathematici; 1995, 61, 3; 195-223
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

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: 4.

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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