Temat: linear problems - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: High-order long-step methods for solving semidefinite linear complementarity problems
Autorzy:: Preiss, M.
Stoer, J.
Powiązania:: https://bibliotekanauki.pl/articles/1839179.pdf
Data publikacji:: 2003
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: semidefinite linear complementarity problems
infeasible-interior-point methods
long-step methods
Opis:: The authors studied in Preiss and Stoer (2003) the analyticity properties of infeasible-interior-point paths encountered in the context of semidefinite linear complementarity problems. It will be shown that these results allow for the design of infeasible-interior-point methods of long-step type with an arbitrarily high order of local convergence for solving such problems.
Źródło:: Control and Cybernetics; 2003, 32, 3; 659-670
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Error estimates for the finite-element approximation of an elliptic control problem with pointwise state and control constraints
Autorzy:: Meyer, C.
Powiązania:: https://bibliotekanauki.pl/articles/971011.pdf
Data publikacji:: 2008
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: równanie eliptyczne
aproksymacja numeryczna
linear quadratic optimal control problems
elliptic equations
state constraints
numerical approximation
Opis:: We consider a linear-quadratic elliptic optimal control problem with pointwise state constraints. The problem is fully discretized using linear ansatz functions for state and control. Based on a Slater-type argument, we investigate the approximation behavior for mesh size tending to zero. The obtained convergence order for the L²-error of the control and for H 1-error of the state is 1 - ε in the two-dimensional case and 1/2 - ε in three dimensions, provided that the domain satisfies certain regularity assumptions. In a second step, a state-constrained problem with additional control constraints is considered. Here, the control is discretized by constant ansatz functions. It is shown that the convergence theory can be adapted to this case yielding the same order of convergence. The theoretical findings are confirmed by numerical examples.
Źródło:: Control and Cybernetics; 2008, 37, 1; 51-83
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Finite element error analysis for state-constrained optimal control of the Stokes equations
Autorzy:: Los Reyes, J. C. de
Meyer, C.
Vexler, B.
Powiązania:: https://bibliotekanauki.pl/articles/969607.pdf
Data publikacji:: 2008
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: równanie Stokesa
aproksymacja numeryczna
element skończony
linear quadratic optimal control problems
Stokes equations
state constraints
numerical approximation
finite elements
Opis:: An optimal control problem for 2d and 3d Stokes equations is investigated with pointwise inequality constraints on the state and the control. The paper is concerned with the full discretization of the control problem allowing for different types of discretization of both the control and the state. For instance, piecewise linear and continuous approximations of the control are included in the present theory. Under certain assumptions on the L∞-error of the finite element discretization of the state, error estimates for the control are derived which can be seen to be optimal since their order of convergence coincides with the one of the interpolation error. The assumptions of the L∞-finite-eleinent-error can be verified for different numerical settings. Finally the results of two numerical experiments are presented.
Źródło:: Control and Cybernetics; 2008, 37, 2; 251-284
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: On the inverse problems of Lyapunov theorem and Riccati equation
Autorzy:: Sun, Y.
Powiązania:: https://bibliotekanauki.pl/articles/205963.pdf
Data publikacji:: 2001
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: teoria systemu liniowego
zagadnienie odwrotne
inverse problems
linear systems theory
Opis:: In this note, the inverse problem of Lyapunov theorem is reconsidered and the inverse problem of Riccati equation is introduced. Simple proofs are provided to guarantee the solution of such problems.
Źródło:: Control and Cybernetics; 2001, 30, 2; 227-230
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

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