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Tytuł:
Approximate controllability for systems described by right invertible operators
Autorzy:
Hoang, V. T.
Powiązania:
https://bibliotekanauki.pl/articles/971010.pdf
Data publikacji:
2008
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
zagadnienie początkowe
right invertible operator
initial operator
initial-value problem
Opis:
In this paper, we deal with the approximate controllability for linear systems described by right invertible operators in an infinite dimensional Banach space.
Źródło:
Control and Cybernetics; 2008, 37, 1; 39-50
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On solvability of boundary value problems in elastoplasticity
Autorzy:
Chludnev, A.
Sokołowski, J.
Powiązania:
https://bibliotekanauki.pl/articles/205983.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
elastoplastyczność
pękanie
zagadnienie brzegowe
boundary problem
cracks
elastoplasticity
penalty
regularization
Opis:
In the paper the existence of a solution to the thress-dimensional elastoplastic problem with the Prandtl-Reuss constitutive law and the Neumann boundary conditions is established. The proof is based on a suitable combination of the parabolic regularization of equations and the penalty method for the elastoplastic yield condition. The method is applied in the case of the domain with smooth boundary as well as in the case of an interior crack. It is shown that the weak solutions to the elastoplastic problem satisfying the variational inequality meet all boundary conditions.
Źródło:
Control and Cybernetics; 1998, 27, 2; 311-330
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
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
Tytuł:
Assets/liabilities portfolio immunization as an optimization problem
Autorzy:
Kondratiuk-Janyska, A.
Kałuszka, M.
Powiązania:
https://bibliotekanauki.pl/articles/969959.pdf
Data publikacji:
2006
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
immunizacja
zagadnienie optymalizacji
immunization
optimization problem
single risk measures
multiple risk measure
Opis:
The aim of this paper is to present bond portfolio immunization strategies in the case of multiple liabilities, based on single-risk or multiple-risk measure models under the assumption of multiple shocks in the term structure of interest rates referring, in particular, to Fong and Vasicek (1984), Nawalkha and Chambers (1996), Balbas and Ibanez (1998) and Hurlimann (2002). Immunization problem is formulated as a constrained optimization problem under a fixed open loop strategy. New risk measures associated with changes of the term structure are also defined.
Źródło:
Control and Cybernetics; 2006, 35, 2; 335-349
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Superlinear elliptic systems with distributed and boundary controls
Autorzy:
Bors, D.
Powiązania:
https://bibliotekanauki.pl/articles/970975.pdf
Data publikacji:
2005
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
zagadnienie brzegowe
stabilność
metoda wariacyjna
boundary value problems
continuous dependence
stability
variational methods
Opis:
The paper investigates the nonlinear partial differential equations of the superlinear elliptic type with the Dirichlet boundary data. Some sufficient conditions, under which the solutions of considered equations depend continuously on distributed and boundary controls, are proved. The proofs of the main results are based on variational methods.
Źródło:
Control and Cybernetics; 2005, 34, 4; 987-1004
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fictitious domain approach for numerical solution of elliptic problems
Autorzy:
Myśliński, A.
Żochowski, A.
Powiązania:
https://bibliotekanauki.pl/articles/206017.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
metoda elementów skończonych
metody numeryczne
zagadnienie eliptyczne
elliptic problems
fictitious domain method
finite element method
numerical methods
Opis:
In the paper the numerical aspects of the fictitious domain method for elliptic problems are considered. Theoretical results concerning the equivalence of original and embedded domain elliptic problems as well as the convergence of discretization are recalled. The dependence of accuracy of numerical solutions to elliptic problems on the approximation of boundary conditions as well as on the order of shape functions are disscussed. The numerical examples are provided.
Źródło:
Control and Cybernetics; 2000, 29, 1; 305-323
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A generalization of the Zionts-Wallenius multiple criteria decision making algorithm
Autorzy:
Kaliszewski, I.
Zionts, S.
Powiązania:
https://bibliotekanauki.pl/articles/970490.pdf
Data publikacji:
2004
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
wielokryterialne podejmowanie decyzji
zagadnienie wypukłe
zamiana
selekcja portfela
multiple criteria decision making
convex problems
trade-off
portfolio selection
Opis:
In multicriteria problem solving, much can be learned by observing the decision-making process. Some, if not many, of the theoretical constructs used in some academically-generated models are simply not necessary. Taking this into account, we generalize the Zionts-Wallenius Multiple Criteria Decision Making Algorithm. We generalize the approach so that it can solve general convex problems. We do this by drawing from other methods, and by incorporating what we have learned in our work. To deal with the class of convex problems we face, we broaden the concept of tradeoff, and use global tradeoffs. Theory is developed, and then a method incorporating the theory is presented. A small example is included. We discuss how our development enriches decision-making tools currently available. We discuss applications in finance and technology.
Źródło:
Control and Cybernetics; 2004, 33, 3; 477-500
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Adaptive behavior of autonomous mobile systems with new action selection problem solution
Autorzy:
Szynkarczyk, P.
Powiązania:
https://bibliotekanauki.pl/articles/970367.pdf
Data publikacji:
2004
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
system autonomiczny
robot mobilny
struktura rozproszona
zagadnienie wyboru czynnościowego
autonomous systems
mobile robots
distributed architecture
action selection problem
Opis:
The article deals with the issue of controlling the autonomous mobile systems. Considered are the problems focusing around the use of controllers with distributed architecture. Contrary to hierarchical architecture, all layers of distributed controller are operating simultaneously, and have an access to both the receptors and to the effectors of the controlled autonomous mobile system. Simultaneous operation of all layers of the distributed architecture controller entails the emergence of the action selection problem. This problem consists in continuous taking decisions: which one of the layers, or which layers of the controller, should have an influence at given moment on the movement of the controlled mobile system. A proposal for a new solution of this problem is discussed. The results of experiments with the use of real mobile robot are presented.
Źródło:
Control and Cybernetics; 2004, 33, 2; 387-420
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Control problems for systems described by hemivariational inequalities
Autorzy:
Denkowski, Z.
Powiązania:
https://bibliotekanauki.pl/articles/206594.pdf
Data publikacji:
2002
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
konwergencja G i Gamma
nierówność hemiwariacyjna
operator pseudo-monotoniczny
problem Boltza
wielofunkcja
wrażliwość
zagadnienie poprawnie postawione
zagadnienie sterowania
Clarke subdifferential
control problems (Bolza problem, identification of parameters, optimal shape design)
G and Gamma convergence
hemivariational inequalities
multifunctions
pseudo-monotone operators
sensitivity
well-posedness
Opis:
The paper considers some control problems for the systems described by the evolution, as well as the stationary hemivariational inequalities (HVIs for short). First, basing on surjectivity theorems for pseudo-monotone operators we formulate some existence results for the solutions of the HVIs and investigate some properties of the solution set (like sensitivity; i.e. its dependence on data and operators). Next we quote some existence theorems for optimal solutions for various classes of optimal control like distributed control (e.g. Bolza problem), identification of parameters, or optimal shape design for systems described by HVIs. Finally, we discuss some common features in getting the existence of optimal solutions as well as some "well-posedness" problems.
Źródło:
Control and Cybernetics; 2002, 31, 3; 713-738
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Mathematical challenges in shape optimization
Autorzy:
Henrot, A.
Sokołowski, J.
Powiązania:
https://bibliotekanauki.pl/articles/970146.pdf
Data publikacji:
2005
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
optymalizacja kształtu
optymalizacja topologiczna
zagadnienie znajdowania wartości własnych
równanie Naviera-Stokesa
Navier-Stokes equations
shape optimization
topology optimization
eingenvalue problem
Opis:
Activities of the CNRS programme GDR shape optimization are described. Recent developments in shape optimization for eigenvalues and drag minimization are presented.
Źródło:
Control and Cybernetics; 2005, 34, 1; 37-57
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hemivariational inequalities governed by the p-Laplacian -Dirichlet problem
Autorzy:
Naniewicz, Z.
Powiązania:
https://bibliotekanauki.pl/articles/970356.pdf
Data publikacji:
2004
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
zagadnienie Dirichleta
nierówność hemiwariacyjna
jednostronny warunek wzrostu
teoria punktu krytycznego
Dirichlet problem
hemivariational inequality
unilateral growth condition
critical point theory
locally Lipschitz functional
Opis:
A hemivariational inequality involving p-Laplacian is studied under the hypothesis that the nonlinear part fulfills the unilateral growth condition (Naniewicz, 1994). The existence of solutions for problems with Dirichlet boundary conditions is established by making use of Chang's version of the critical point theory for non-smooth locally Lipschitz functionals (Chang, 1981), combined with the Galerkin method. A class of problems with nonlinear potentials fulfilling the classical growth hypothesis without Ainbrosetti-Rabinowitz type assumption is discussed. The approach is based on the recession technique introduced in Naniewicz (2003).
Źródło:
Control and Cybernetics; 2004, 33, 2; 181-210
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dual sufficient optimality conditions for optimal control
Autorzy:
Młynarska, E.
Powiązania:
https://bibliotekanauki.pl/articles/205961.pdf
Data publikacji:
2001
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
minimum względne
nierówność podwójna Hamiltona-Jacobiego
zagadnienie sterowania optymalnego
dual Hamilton-Jacobi inequality
dual sufficient optimality conditions
optimal control problem
relative minimum
Opis:
In this paper we develop the first and second order dual sufficient optimality conditions for a nonlinear optimal control problem. Our conditions are derived from the dual Hamilton-Jacobi approach applied to the generalized problem of Bolza. We do not require neither any convexity on the data, nor that the control set U be polyhedral, nor that the control function be in the interior of U. Instead, we assume the existence of a function which satisfies a certain inequality.
Źródło:
Control and Cybernetics; 2001, 30, 1; 45-54
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sensitivity of optimal solutions to control problems for systems described by hemivariational inequalities
Autorzy:
Denkowski, Z.
Migórski, S.
Powiązania:
https://bibliotekanauki.pl/articles/970353.pdf
Data publikacji:
2004
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
nierówność hemiwariacyjna
zagadnienie kontrolne
czułość
wielofunkcja
operator pseudomonotoniczny i ściśle monotoniczny
hemivariational inequality
control problem
sensitivity
Clarke subdifferential
multifunction
pseudomonotone and maximal monotone operators
G, PG and F convergences
Opis:
In this paper the sensitivity of optimal solutions to control problems for the systems described by stationary and evolution heinivariational inequalities (HVIs) under perturbations of state relations and of cost functionals is investigated. First, basing on the theory of sequential [Gamma]-convergence we recall the abstract scheme concerning convergence of minimal values and minimizers. The abstract scheme works provided we can establish two properties: the Kuratowski convergence of solution sets for HVIs (state relations) and some complementary [Gamma]-convergence of the cost functionals. Then these two properties are implemented in each considered case.
Źródło:
Control and Cybernetics; 2004, 33, 2; 211-236
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Convergence of Tolands critical points for sequences of D.C. functions and application to the resolution of semilinear elliptic problems
Autorzy:
Yassine, A.
Alaa, N.
Elhilali Alaoui, A.
Powiązania:
https://bibliotekanauki.pl/articles/206580.pdf
Data publikacji:
2001
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
algorytm proksymalny
funkcje D.C.
optymalizacja niewypukła
punkt krytyczny Tolanda
semiliniowe zagadnienie eliptyczne
dc functions
non-convex optimization
normalized D.C. decomposition
proximal algorithm
semilinear elliptic problem
Toland's critical point
Opis:
We prove that if a sequence (fn)n of D.C. functions (Difference of two Convex functions) converges to a D.C. function f in some appropriate way and if un is a critical point of fn, in the sense described by Toland, and is such that (un)n converges to u, then a is a critical point of f, still in Toland's sense. We also build a new algorithm which searches for this critical point u and then apply it in order to compute the solution of a semilinear elliptic equation.
Źródło:
Control and Cybernetics; 2001, 30, 4; 405-417
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimization using chaotic neural network and its application to lighting design
Autorzy:
Nanba, R.
Hasegawa, M.
Nishita, T.
Aihara, K.
Powiązania:
https://bibliotekanauki.pl/articles/205753.pdf
Data publikacji:
2002
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
algorytm genetyczny
denaturacja symulowana
grafika komputerowa
metoda energetyczna
model świetlny
sieć neuronowa chaotyczna
zagadnienie optymalizacji kombinatorycznej
chaotic neural networks
combinatorial optimization problem
computer graphics
genetic algorithm
lighting design
radiosity method
simulated annealing
Opis:
We have developed a chaotic neurodynamical searching method for solving the lighting design problems. The goal of this method is to design interior lighting that satisfies required illuminance distribution. We can obtain accurate illuminance distribution by using the radiosity method to calculate interreflection of lights. We formulate the lighting design problem that considers the interreflection of lights as a combinatorial optimization problem, and construct a chaotic neural network which searches the optimum solution of the lighting design problem. The calculated illuminance distribution is visualized using computer graphics. We compare this optimization method with the conventional neural network with gradient dynamics, simulated annealing, and the genetic algorithm, and clarify the effectiveness of the proposed method based on the chaotic neural network.
Źródło:
Control and Cybernetics; 2002, 31, 2; 249-269
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł

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