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    Wyświetlanie 1-37 z 37
    Tytuł:
    Higher-order conditions for local equilibria in a discontinuous Gale economic model
    Autorzy:
    Michalak, A.
    Studniarski, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/205957.pdf
    Data publikacji:
    2017
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    Gale model
    equilibrium
    higher-order conditions
    generalized directional derivatives
    Opis:
    The paper introduces the concept of a strict local equilibrium of order k in the Gale economic model. We obtain higher-order necessary and sufficient conditions for such equilibria without assuming continuity of the utility functions. These conditions are formulated in terms of generalized lower and upper directional derivatives, introduced by Studniarski (1986). A stability theorem for strict local equilibria of order k is also included.
    Źródło:
    Control and Cybernetics; 2017, 46, 1; 37-47
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Minima in control problems with constraints
    Autorzy:
    Stefani, Gianna
    Zezza, PierLuigi
    Powiązania:
    https://bibliotekanauki.pl/articles/1359682.pdf
    Data publikacji:
    1995
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    state-control constraint
    necessary
    second order conditions
    conjugate points
    optimal control
    sufficient conditions
    Opis:
    This paper is devoted to describing second order conditions in the framework of extremal problems, that is, conditions obtained by reducing the optimal control problem to an abstract one in a suitable Banach (or Hilbert) space. The studied problem includes equality constraints both on the end-points and on the state-control trajectory. The second goal is to give a complete description of necessary and sufficient second order conditions for weak local optimality by describing first the associated linear-quadratic problem and then by giving a conjugate point theory for this linear quadratic problem with constraints.
    Źródło:
    Banach Center Publications; 1995, 32, 1; 361-378
    0137-6934
    Pojawia się w:
    Banach Center Publications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Local error structures and order conditions in terms of Lie elements for exponential splitting schemes
    Autorzy:
    Auzinger, W.
    Herfort, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/255869.pdf
    Data publikacji:
    2014
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    exponential splitting schemes
    local error
    defect
    order conditions
    free Lie algebra
    Opis:
    We discuss the structure of the local error of exponential operator splitting methods. In particular, it is shown that the leading error term is a Lie element, i.e., a linear combination of higher-degree commutators of the given operators. This structural assertion can be used to formulate a simple algorithm for the automatic generation of a minimal set of polynomial equations representing the order conditions, for the general case as well as in symmetric settings.
    Źródło:
    Opuscula Mathematica; 2014, 34, 2; 243-256
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Necessary and sufficient conditions for a Pareto optimal allocation in a discontinuous Gale economic model
    Autorzy:
    Michalak, A.
    Studniarski, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/255729.pdf
    Data publikacji:
    2014
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    Gale model
    discontinuous functions
    generalized directional derivatives
    higher-order conditions
    Pareto optimality
    Opis:
    In this paper we examine the concept of Pareto optimality in a simplified Gale economic model without assuming continuity of the utility functions. We apply some existing results on higher-order optimality conditions to get necessary and sufficient conditions for a locally Pareto optimal allocation.
    Źródło:
    Opuscula Mathematica; 2014, 34, 4; 827-835
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Second-order optimality conditions for semilinear elliptic control problems with constraints on the gradient of the state
    Autorzy:
    Casas, E.
    Fernandez, J.
    Mateos, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/206719.pdf
    Data publikacji:
    1999
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    sterowanie optymalne
    optimal control
    second order conditions
    semilinear elliptic PDE
    state gradient constraints
    Opis:
    The aim of this paper is to state the second order necessary and sufficient optimality conditions for distributed control problems governed by the Neumann problem associated to a semilinear elliptic partial differential equation. Bound constraints ou control are considered, as well as equality and inequality constraints of integral type on the gradient of the state.
    Źródło:
    Control and Cybernetics; 1999, 28, 3; 463-479
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On relations among the generalized second-order directional derivatives
    Autorzy:
    Pastor, Karel
    Powiązania:
    https://bibliotekanauki.pl/articles/729322.pdf
    Data publikacji:
    2001
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    generalized second-order directional derivative
    convexity
    second-order optimality conditions
    Opis:
    In the paper, we deal with the relations among several generalized second-order directional derivatives. The results partially solve the problem which of the second-order optimality conditions is more useful.
    Źródło:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2001, 21, 2; 235-247
    1509-9407
    Pojawia się w:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Second order conditions for periodic optimal control problems
    Autorzy:
    Allwright, J.
    Vinter, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/970564.pdf
    Data publikacji:
    2005
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    równanie Riccatiego
    programowanie dynamiczne
    second order conditions
    periodic optimal control
    Riccati equations
    dynamic programming
    Opis:
    This paper concerns second order sufficient conditions of optimality, involving the Riccati equation, for optimal control problems with periodic boundary conditions. The problems considered involve no pathwise constraints and are 'regular', in the sense that the strengthened Legendre-Clebsch condition is assumed to be satisfied. A well-known sufficient, condition, which we refer to as the Riccati sufficient condition, requires the existence of a global solution to the Riccati equation whose endpoint values satisfy a certain inequality. A sharper condition, named the extended sufficient, condition, takes the form of an inequality involving the solutions of a Riccati equation and two additional linear matrix equations. We highlight the superiority of the extended Riccati sufficient condition and develop a number of equivalent formulations of this condition. Not only does the extended Riccati sufficient, condition supply more information about, minimizers, but it is the basis of simpler numerical tests for assessing whether an extremal is a minimizer, at least in a local sense. The Riccati and also the extended Riccati sufficient conditions are applied to a variant of Speyer's 'sailboat' problem, involving parameters. It is found that the extended Riccati sufficient condition identifies a much larger set of points on parameter space for which a nominal control is optimal, in comparison to the Riccati sufficient condition.
    Źródło:
    Control and Cybernetics; 2005, 34, 3; 617-643
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Revisiting the analysis of optimal control problems with several state constraints
    Autorzy:
    Bonnans, J. F.
    Hermant, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/970908.pdf
    Data publikacji:
    2009
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    optimal control
    state constraints
    shooting algorithm
    second order optimality conditions
    Opis:
    This paper improves the results of and gives shorter proofs for the analysis of state constrained optimal control problems than presented by the authors in Bonnans and Hermant (2009b), concerning second order optimality conditions and the well-posedness of the shooting algorithm. The hypothesis for the second order necessary conditions is weaker, and the main results are obtained without reduction to the normal form used in that reference, and without analysis of high order regularity results for the control. In addition, we provide some numerical illustration. The essential tool is the use of the "alternative optimality system".
    Źródło:
    Control and Cybernetics; 2009, 38, 4A; 1021-1052
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Second order optimality conditions for bang-bang control problems
    Autorzy:
    Maurer, H.
    Osmolovskii, N. P.
    Powiązania:
    https://bibliotekanauki.pl/articles/970524.pdf
    Data publikacji:
    2003
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    sterowanie przekaźnikowe
    bang-bang control
    second order necessary and sufficient conditions
    critical cone
    transformation of quadratic forms
    numerical verification of second order conditions
    van der Pol oscillator
    Opis:
    Second order necessary and sufficient optimality conditions for bang-bang control problems have been studied in Milyutin, Osmolovskii (1998). These conditions amount to testing the positive (semi-)definiteness of a quadratic form on a critical cone. The assumptions are appropriate for numerical verification only in some special cases. In this paper, we study various transformations of the quadratic form and the critical cone which will be tailored to different types of control problems in practice. In particular, by means of a solution to a linear matrix differential equation, the quadratic form can be converted to perfect squares. We demonstrate by three practical examples that the conditions obtained can be verified numerically.
    Źródło:
    Control and Cybernetics; 2003, 32, 3; 555-584
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Sufficient optimality conditions for a bang-singular extremal in the minimum time problem
    Autorzy:
    Poggiolini, L.
    Stefani, G.
    Powiązania:
    https://bibliotekanauki.pl/articles/969613.pdf
    Data publikacji:
    2008
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    minimum time
    second order sufficient conditions
    bang-singular arc
    Hamiltonian formalism
    Opis:
    The paper gives second order sufficient conditions for the strong local optimality of a bang-singular extremal in a minimum time problem. The conditions are given in terms of regularity assumptions on the extremal and of the coercivity of the extended second variation associated to the minimum time problem with fixed end-points on the singular arc. The conditions are close to the necessary ones in the usual sense, namely we require strict inequalities where necessary conditions have mild inequalities.
    Źródło:
    Control and Cybernetics; 2008, 37, 2; 469-490
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Second-order necessary conditions of the Kuhn-Tucker type in multiobjective programming problems
    Autorzy:
    Aghezzaf, B.
    Powiązania:
    https://bibliotekanauki.pl/articles/970055.pdf
    Data publikacji:
    1999
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    programowanie obiektowe
    efficient solutions
    multiobjective programming
    second-order constraint qualification
    second-order necessary conditions
    Opis:
    In this paper, we are concerned with a multiobjective programming problem with inequality constraints. We develop second-order necessary condition of the Kuhn-Tucker type for effciency and prove that the condition holds under a. constraint qualification. Moreover, we give some conditions which ensure that the constraint qua,lifica.tion holds.
    Źródło:
    Control and Cybernetics; 1999, 28, 2; 213-224
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Sensitivity analysis for optimal control of problems governed by semilinear parabolic equations
    Autorzy:
    Bergounioux, M.
    Merabet, N.
    Powiązania:
    https://bibliotekanauki.pl/articles/206854.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    analiza czułości
    sterowanie optymalne
    optimal control
    second order optimality conditions
    sensitivity analysis
    Opis:
    We investigate an optimal control problem governed by a semilinear parabolic equation with perturbed initial data. We perform some sensitivity analysis: under polyhedricity assumption and second order optimality conditions we derive second order expansion of the optimal value function.
    Źródło:
    Control and Cybernetics; 2000, 29, 4; 861-886
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Second order sufficient conditions and sensitivity analysis for optimal multiprocess control problems
    Autorzy:
    Augustin, D.
    Maurer, H.
    Powiązania:
    https://bibliotekanauki.pl/articles/206723.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    multiprocess control systems
    Riccati equations
    robot control
    second order sufficient conditions
    sensitivity analysis
    Opis:
    Second order sufficient optimality conditions (SSC) are derived for optimal multiprocess control problems. For that purpose the multiprocess control problem is transformed into a single stage control problem with augmented state variables which comprise the state variables of all individual stages as well as the switching times as choice variables. This toansformation allows to apply the known SSC for single stage control problems. A numerical test of SSC involves the solution of an associated Riccati equation together with boundary conditions adapted to the multiprocess. Sensitivity analysis of parametric multiprocess problems can be based on SSC. A numerical example of the optimal two-stage control of a robot illustrates both SSC and sensitivity analysis.
    Źródło:
    Control and Cybernetics; 2000, 29, 1; 11-31
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Second order convexity and a modified objective function method in mathematical programming
    Autorzy:
    Antczak, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/969778.pdf
    Data publikacji:
    2007
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    programowanie matematyczne
    mathematical programming
    second order modified objective function optimization problem
    second order convex function
    second order optimality conditions
    Opis:
    An approach to nonlinear constrained mathematical programming problems which makes use of a second order derivative is presented. By using a second order modified objective function method, a modified optimization problem associated with a primal mathematical programming problem is constructed. This auxiliary optimization problem involves a second order approximation of an objective function constituting the primal mathematical programming problem. The equivalence between the original mathematical programming problem and its associated modified optimization problem is established under second order convexity assumption. Several practical O.R. applications show that our method is efficient. Further, an iterative algorithm based on this approach for solving the considered nonlinear mathematical programming problem is given for the case when the functions constituting the problem are second order convex. The convergence theorems for the presented algorithm are established.
    Źródło:
    Control and Cybernetics; 2007, 36, 1; 161-182
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Optimality conditions for a class of optimal boundary control problems with quasilinear elliptic equations
    Autorzy:
    Casas, E.
    Dhamo, V.
    Powiązania:
    https://bibliotekanauki.pl/articles/206408.pdf
    Data publikacji:
    2011
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    optimal control
    Neumann boundary control
    quasi-linear elliptic equation
    Pontryagin principle
    second order optimality conditions
    Opis:
    First- and second-order optimality conditions are established for the boundary optimal control of quasilinear elliptic equations with pointwise constraints on the control. The theory is developed for Neumann controls in polygonal domains of dimension two. For the derivation of second-order sufficient optimality conditions, which is the main goal of this paper, the regularity of the solutions to the state equation and its linearization is studied in detail. Moreover, a Pontryagin principle is proved. The main difficulty in the analysis of these problems is the nonmonotone character of the state equation.
    Źródło:
    Control and Cybernetics; 2011, 40, 2; 457-490
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Exact penalization of pointwise constraints for optimal control problems
    Autorzy:
    Casas, E.
    Powiązania:
    https://bibliotekanauki.pl/articles/970884.pdf
    Data publikacji:
    2009
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    optimal control
    semilinear elliptic equations
    pointwise state constraints
    exact penalization
    first and second order optimality conditions
    Opis:
    In this paper we consider a control problem governed by a semilinear elliptic equation with pointwise control and state constraints. We analyze the existence of an exact penalization of the state constraints. In particular, we prove that the first and second order optimality conditions imply the existence of such a penalization. Finally, we prove some extra regularity of the strict local minima of the control problem, assuming the existence of an exact penalization for them.
    Źródło:
    Control and Cybernetics; 2009, 38, 4A; 1131-1150
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A second-order sufficient condition for a weak local minimum in an optimal control problem with an inequality control constraint
    Autorzy:
    Osmolovskii, Nikolai P.
    Powiązania:
    https://bibliotekanauki.pl/articles/2183496.pdf
    Data publikacji:
    2022
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    critical cone
    quadratic form
    first order tangent
    second order tangent
    second order optimality conditions
    weak local minimum
    inequality control constraint
    Pontryagin’s maximum principle
    Opis:
    This paper is devoted to a sufficient second-order condition for a weak local minimum in a simple optimal control problem with one control constraint G(u) ≤ 0, given by a C2-function. A similar second-order condition was obtained earlier by the author for a strong minimum in a much more general problem. In the present paper, we would like to take a narrower perspective than before and thus provide shorter and simpler proofs. In addition, the paper uses the first and second order tangents to the set U, defined by the inequality G(u) ≤ 0. The main difficulty of the proof, clearly shown in the paper, refers to the set, where the gradient Hu of the Hamiltonian is small, but the condition of quadratic growth of the Hamiltonian is satisfied. The paper can be valuable for self-explanation and provides a basis for extensions.
    Źródło:
    Control and Cybernetics; 2022, 51, 2; 151--169
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Lipschitz stability of optimal controls for the steady-state Navier-Stokes equations
    Autorzy:
    Roubicek, T.
    Troltzsch, F.
    Powiązania:
    https://bibliotekanauki.pl/articles/970527.pdf
    Data publikacji:
    2003
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    sterowanie strumieniem danych
    stabilność Lipschitza
    incompressible viscous fluids
    flow control
    first and second order optimality conditions
    Lipschitz stability
    Opis:
    An optimal control problem with quadratic cost functional for the steady-state Navier-Stokes equations with no-slip boundary condition is considered. Lipschitz stability of locally optimal controls with respect to certain perturbations of both the cost functional and the equation is proved provided a second-order sufficient optimality condition holds. For a sufficiently small Reynolds number, even global Lipschitz stability of the unique optimal control is shown.
    Źródło:
    Control and Cybernetics; 2003, 32, 3; 683-705
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    C^11 vector optimization problems and Riemann derivatives
    Autorzy:
    Ginchev, I.
    Guerraggio, A.
    Rocca, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/970359.pdf
    Data publikacji:
    2004
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    optymalizacja wektorowa
    pochodna kierunkowa typu Riemanna
    warunek optymalności dwuwskaźnikowy
    vector optimization
    Riemann-type directional derivatives
    second-order optimality conditions
    Opis:
    In this paper we introduce a generalized second-order Riemann-type derivative for C^1'1 vector functions and use it to establish necessary and sufficient optimality conditions for vector optimization problems. We show that, these conditions are stronger than those obtained by means of the second-order subdinerential in Clarke sense considered in Guerraggio, Luc (2001) and also to some extent than those obtained in Guerraggio, Luc, Minh (2001).
    Źródło:
    Control and Cybernetics; 2004, 33, 2; 259-273
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Network optimality conditions
    Autorzy:
    Osmolovskii, Nikolai P.
    Qian, Meizhi
    Sokołowski, Jan
    Powiązania:
    https://bibliotekanauki.pl/articles/31343935.pdf
    Data publikacji:
    2023
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    network
    optimal control problem
    weak local minimum
    Pontryagin’s maximum principle
    critical cone
    quadratic form
    second order optimality conditions
    Riccati equation
    Opis:
    Optimality conditions for optimal control problems arising in network modeling are discussed. We confine ourselves to the steady state network models. Therefore, we consider only control systems described by ordinary differential equations. First, we derive optimality conditions for the nonlinear problem for a single beam. These conditions are formulated in terms of the local Pontryagin maximum principle and the matrix Riccati equation. Then, the optimality conditions for the control problem for networks posed on an arbitrary planar graph are discussed. This problem has a set of independent variables xi varying within their intervals [0, li], associated with the corresponding beams at network edges. The lengths li of intervals are not specified and must be determined. So, the optimization problem is non-standard, it is a combination of control and design of networks. However, using a linear change of the independent variables, it can be reduced to a standard one, and we show this. Two simple numerical examples for the single-beam problem are considered.
    Źródło:
    Control and Cybernetics; 2023, 52, 2; 129-180
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Second order conditions in optimal control problems with mixed equality-type constraints on a variable time interval
    Autorzy:
    Osmolovskii, N. P.
    Powiązania:
    https://bibliotekanauki.pl/articles/970741.pdf
    Data publikacji:
    2009
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    piecewise continuous control
    maximum principle
    second order necessary or sufficient conditions
    critical cone
    quadratic form
    Opis:
    This paper provides an analysis of second-order necessary or sufficient optimality conditions of Pontryagin or bounded strong minima, for optimal control problems of ordinary differential equations, considered on a nonfixed time interval, with constraints on initial-final time-state as well as mixed state-control constraints of equality type satisfying condition of linear independence of gradients w.r.t. control.
    Źródło:
    Control and Cybernetics; 2009, 38, 4B; 1535-1556
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A study of MHD fluid with second order slip and thermal flow over a nonlinear stretching sheet
    Autorzy:
    Jauhri, Shefali
    Mishra, Upendra
    Powiązania:
    https://bibliotekanauki.pl/articles/2174199.pdf
    Data publikacji:
    2022
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    płyn magnetyczny
    nanociecz
    metoda Runge-Kutty
    stagnation point flow
    second order slip boundary conditions
    nonlinear stretching sheet
    Runge-Kutta method
    Opis:
    An electrically conducted viscous incompressible nanofluid flow caused by the nonlinear stretching surface with stagnation flow has been investigated numerically. The effect of Brownian motion and thermophoresis on the nanofluid is also incorporated. The governing partial differential equations with nonlinear second order boundary conditions are solved by the fourth order Runge-Kutta technique using MATLAB programming. The effect of the radiation parameter (Rd), stretching parameter (n), Brownian motion parameter (Nb), thermophoresis parameter (Nt) on temperature, velocity and mass transfer are shown graphically. The influence of some of these parameters on the local Nusselt number (−′(0)) and local Sherwood number (−′(0)) are shown by the graphs.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2022, 27, 2; 98--114
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Extremals of the time optimal control problem for a material point moving along a straight line in the presence of friction and limitation on the velocity
    Autorzy:
    Osmolovskii, N. P.
    Figura, A.
    Kośka, M.
    Wójtowicz, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/206453.pdf
    Data publikacji:
    2017
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    material point
    resistance forces
    acceleration
    deceleration
    Pontryagin’s maximum principle
    second order optimality conditions
    optimal control
    adjoint variable
    state constraint
    Stieltjes measure
    singular arc
    boundary arc
    Opis:
    This paper provides an analysis of the time optimal control problem for a material point moving along a straight line in the presence of strength of resistance to movement (friction) and subject to constraint on the velocity. The point is controlled by a limited traction or braking force. The analysis of the problem is based on the maximum principle for state constraints in the Dubovitskii-Milyutin form, see Dubovitskii and Milyutin (1965), and the necessary second-order optimality condition for bang-bang controls, see Milyutin and Osmolovskii (1998).
    Źródło:
    Control and Cybernetics; 2017, 46, 4; 305-324
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    System of production order verification in application to service of customer
    Autorzy:
    Saniuk, A.
    Saniuk, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/118055.pdf
    Data publikacji:
    2005
    Wydawca:
    Polskie Towarzystwo Promocji Wiedzy
    Tematy:
    production order
    sufficient conditions
    production cost
    Opis:
    In this paper the efficiency of the System of Production Order Verification in application to service of customer is examined. Its aim is to find out whether a given work order can be accepted to be processed in an enterprise and satisfy the customer’s requirements within constraints imposed by the enterprise configuration and the process of manufacturing of other products. The presented system is illustrated on an example.
    Źródło:
    Applied Computer Science; 2005, 1, 1; 133-140
    1895-3735
    Pojawia się w:
    Applied Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Equivalence of second order optimality conditions for bang-bang control problems. Part 1: Main results
    Autorzy:
    Osmolovskii, N. P.
    Maurer, H.
    Powiązania:
    https://bibliotekanauki.pl/articles/970559.pdf
    Data publikacji:
    2005
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    sterowanie przekaźnikowe
    stożek krytyczny
    forma kwadratowa i równoważność
    bang-bang control
    second order necessary and sufficient conditions
    critical cone
    Opis:
    Second order optimality conditions have been derived in the literature in two different forms. Osmolovskii (1988a, 1995, 2000, 2004) obtained second order necessary and sufficient conditions requiring that, a certain quadratic form be positive (semi)-definite on a critical cone. Agrachev, Stefani, Zezza (2002) first, reduced the bang-bang control problem to finite-dimensional optimization and then show that well-known sufficient optimality conditions for this optimization problem supplemented by the strict bang-bang property furnish sufficient conditions for the bang-bang control problem. In this paper, we establish the equivalence of both forms of sufficient conditions and give explicit relations between corresponding Lagrange multipliers and elements of critical cones. Part 1 summarizes the main results while detailed proofs will be given in Part 2.
    Źródło:
    Control and Cybernetics; 2005, 34, 3; 927-950
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the existence of Luenberger reduced order observer
    Autorzy:
    Kiritsis, Konstadinos H.
    Powiązania:
    https://bibliotekanauki.pl/articles/31343936.pdf
    Data publikacji:
    2023
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    Luenberger reduced order observer
    necessary and sufficient conditions
    Opis:
    In this paper the explicit necessary and sufficient conditions for the existence of Luenberger reduced order observer are established. In particular, it is proven that for the given linear time-invariant system of order n, having p linearly independent out- puts and m inputs, a Luenberger observer of order (n − p) can be constructed if and only if the given system is detectable. Further- more, a procedure is given for the construction of the observer. Our approach is based on the properties of real and polynomial matrices.
    Źródło:
    Control and Cybernetics; 2023, 52, 2; 181-198
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the order of starlikeness and convexity of complex harmonic functions with a two-parameter coefficient condition
    Autorzy:
    Sibelska, Agnieszka
    Powiązania:
    https://bibliotekanauki.pl/articles/747178.pdf
    Data publikacji:
    2010
    Wydawca:
    Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
    Tematy:
    Complex harmonic functions
    analytic conditions
    convexity of order \(\beta\)
    starlikeness of order \(\beta\)
    Opis:
    The article of J. Clunie and T. Sheil-Small [3], published in 1984, intensified the investigations of complex functions harmonic in the unit disc \(\Delta\). In particular, many papers about some classes of complex mappings with the coefficient conditions have been published. Consideration of this type was undertaken in the period 1998–2004 by Y. Avci and E. Złotkiewicz [2], A. Ganczar [5], Z. J. Jakubowski, G. Adamczyk, A. Łazinska and A. Sibelska [1], [8], [7], H. Silverman [12] and J. M. Jahangiri [6], among others. This work continues the investigations described in [7]. Our results relate primarily to the order of starlikeness and convexity of functions of the aforementionedclasses.
    Źródło:
    Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2010, 54, 1
    0365-1029
    2083-7402
    Pojawia się w:
    Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Equivalence of second order optimality conditions for bang-bang control problems. Part 2 : Proofs, variational derivatives and representations
    Autorzy:
    Osmolovskii, N. P.
    Maurer, H.
    Powiązania:
    https://bibliotekanauki.pl/articles/969736.pdf
    Data publikacji:
    2007
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    bang-bang control
    second order necessary and sufficient conditions
    critical cones
    equivalence of quadratic forms
    representation of the Hessian of the Lagrangian
    Opis:
    In Part 1 of this paper (Osmolovskii and Maurer, 2005), we have summarized the main results on the equivalence of two quadratic forms from which second order necessary and sufficient conditions can be derived for optimal bang-bang control problems. Here, in Part 2, we give detailed proofs and elaborate explicit relations between Lagrange multipliers and elements of the critical cones in both approaches. The main analysis concerns the derivation of formulas for the first and second order derivatives of trajectories with respect to variations of switching times, initial and final time and initial point. This leads to explicit representations of the second order derivatives of the Lagrangian for the induced optimization problem. Based on a suitable transformation, we obtain the elements of the Hessian of the Lagrangian in a form which involves only first order variations of the nominal trajectory. Finally, a careful regrouping of all terms allows us to find the desired equivalence of the two quadratic forms.
    Źródło:
    Control and Cybernetics; 2007, 36, 1; 5-45
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Boundary integral representations of second derivatives in shape optimization
    Autorzy:
    Eppler, Karsten
    Powiązania:
    https://bibliotekanauki.pl/articles/729245.pdf
    Data publikacji:
    2000
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    optimal shape design
    fundamental solution
    boundary integral equation
    second-order derivatives
    optimality conditions
    Opis:
    For a shape optimization problem second derivatives are investigated, obtained by a special approach for the description of the boundary variation and the use of a potential ansatz for the state. The natural embedding of the problem in a Banach space allows the application of a standard differential calculus in order to get second derivatives by a straight forward "repetition of differentiation". Moreover, by using boundary value characerizations for more regular data, a complete boundary integral representation of the second derivative of the objective is possible. Basing on this, one easily obtains that the second derivative contains only normal components for stationary domains, i.e. for domains, satisfying the first order necessary condition for a free optimum. Moreover, the nature of the second derivative is discussed, which is helpful for the investigation of sufficient optimality conditions.
    Źródło:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2000, 20, 1; 63-78
    1509-9407
    Pojawia się w:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stability analysis for discrete-time fractional-order LTI state-space systems. Part I: New necessary and sufficient conditions for the asymptotic stability
    Autorzy:
    Stanisławski, R.
    Latawiec, K. J.
    Powiązania:
    https://bibliotekanauki.pl/articles/200600.pdf
    Data publikacji:
    2013
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    Grünwald-Letnikov fractional difference
    discrete-time fractional order system
    stability conditions
    Cauchy’s argument principle
    Opis:
    This paper presents a series of new results on the asymptotic stability of discrete-time fractional difference (FD) state space systems and their finite-memory approximations called finite FD (FFD) and normalized FFD (NFFD) systems. In Part I, new, general, necessary and sufficient stability conditions are introduced in a unified form for FD/FFD/NFFD-based systems. In Part II, an original, simple, analytical stability criterion is offered for FD-based systems, and the result is used to develop simple, efficient, numerical procedures for testing the asymptotic stability for FFD-based and, in particular, NFFD-based systems. Consequently, the so-called f-poles and f-zeros are introduced for FD-based system and their closed-loop stability implications are discussed.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2013, 61, 2; 353-361
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A singular nonlinear boundary value problem with Neumann conditions
    Autorzy:
    Janus, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/255233.pdf
    Data publikacji:
    2005
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    singular nonlinear boundary value problem
    Neumann boundary conditions
    second order equations
    maximal and minimal solutions
    Opis:
    We study the existence of solutions for the equations x" plmin g(t, x) = h(t), t mem (0, 1) with Neumann boundary conditions, where g: [0, 1] x (0, +infin) arr [0, +infin] and h: [0, 1] arr R are continuous and g(t, ·) is singular at 0 for each t mem [0, 1].
    Źródło:
    Opuscula Mathematica; 2005, 25, 2; 227-241
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Graniczne dystrybuanty wartości ekstremalnych dla zależnych ciągów zmiennych losowych
    Limiting distribution function of extreme values for the dependent sequences random variables
    Autorzy:
    Kuźmiński, Łukasz
    Powiązania:
    https://bibliotekanauki.pl/articles/425143.pdf
    Data publikacji:
    2013
    Wydawca:
    Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
    Tematy:
    order statistics
    limiting distribution function of extreme
    dependence conditions D(un) and D’(un)
    extreme index
    Opis:
    In the article the outline of asymptotic theory of extreme values has been intro-duced for the application to finance, hydrology and insurance. The study includes the theo-rems and the definitions which give the possibility to appoint the limiting distribution func-tion for the distributions of maximum in three cases. The first case concerns the sequence independent random variables. The second case concerns the stationary processes of random variables for which the conditions D(un) and D’(un) are satisfied (i.e. “the extinguishing de-pendence”). The last case concerns the stationary processes for which the conditions D(un) and D’(un) are not satisfied.
    Źródło:
    Econometrics. Ekonometria. Advances in Applied Data Analytics; 2013, 2(40); 115-125
    1507-3866
    Pojawia się w:
    Econometrics. Ekonometria. Advances in Applied Data Analytics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Extracting second-order structures from single-input state-space models: application to model order reduction
    Autorzy:
    Guillet, J.
    Mourllion, B.
    Birouche, A.
    Basset, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/907584.pdf
    Data publikacji:
    2011
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    model drugiego rzędu
    obcinanie zrównoważone
    obcinanie modalne
    second order form model
    preservation of the structural conditions
    balanced truncation
    modal truncation
    Opis:
    This paper focuses on the model order reduction problem of second-order form models. The aim is to provide a reduction procedure which guarantees the preservation of the physical structural conditions of second-order form models. To solve this problem, a new approach has been developed to transform a second-order form model from a state-space realization which ensures the preservation of the structural conditions. This new approach is designed for controllable single-input state-space realizations with real matrices and has been applied to reduce a single-input second-order form model by balanced truncation and modal truncation.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2011, 21, 3; 509-519
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Location of high-rise buidings in Wrocław
    Lokalizacja budynków wysokościowych we Wrocławiu
    Autorzy:
    Zakrzewska-Półtorak, Alicja
    Powiązania:
    https://bibliotekanauki.pl/articles/434840.pdf
    Data publikacji:
    2017
    Wydawca:
    Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
    Tematy:
    Wrocław
    high-rise building
    spatial order
    urban spatial structure
    study of conditions and directions of spatial development of the commune
    Opis:
    The aim of the paper is to discuss the arrangement of the existing and new high-rise buildings in Wrocław, as well as to determine the impact of their location on spatial order. The author uses a descriptive method, simple statistical methods, a deductive method and empirical inference. The subject of the research is Wrocław, with special attention to high-rise objects location. The basic research covers the period of 2010-2017. The question of planning and building high-rise objects was discussed in Wrocław studies of conditions and directions of spatial development (2010 and 2017). As the recent years reveal, the number of very high buildings in Wrocław is not on the rise. However, Wrocław is prepared for their arrival.
    Źródło:
    Biblioteka Regionalisty; 2017, 17; 119-126
    2081-4461
    Pojawia się w:
    Biblioteka Regionalisty
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Reduction of dynamic error in measurements of transient fluid temperature
    Autorzy:
    Jaremkiewicz, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/240052.pdf
    Data publikacji:
    2011
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    analiza niepewności
    model pierwszego obiektu
    pomiar temperatury
    stała czasowa
    warunki przejściowe
    first-order model
    temperature measurement
    time constant
    transient conditions
    uncertainty analysis
    Opis:
    Under steady-state conditions when fluid temperature is constant, temperature measurement can be accomplished with high degree of accuracy owing to the absence of damping and time lag. However, when fluid temperature varies rapidly, for example, during start-up, appreciable differences occur between the actual and measured fluid temperature. These differences occur because it takes time for heat to transfer through the heavy thermometer pocket to the thermocouple. In this paper, a method for determinig transient fluid temperature based on the first-order thermometer model is presented. Fluid temperature is determined using a thermometer, which is suddenly immersed into boiling water. Next, the time constant is defined as a function of fluid velocity for four sheated thermocouples with different diameters. To demonstrate the applicability of the presented method to actual data where air velocity varies, the temperature of air is estimated based on measurements carried out by three thermocouples with different outer diameters. Lastly, the time constant is presented as a function of fluid velocity and outer diameter of thermocouple.
    Źródło:
    Archives of Thermodynamics; 2011, 32, 4; 55-66
    1231-0956
    2083-6023
    Pojawia się w:
    Archives of Thermodynamics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Optimal control problem for infinite variables hyperbolic systems with time lags
    Autorzy:
    Bahaa, G. M.
    Tharwat, M. M.
    Powiązania:
    https://bibliotekanauki.pl/articles/229952.pdf
    Data publikacji:
    2011
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    optimal control
    hyperbolic system
    time delay
    distributed control problems
    Neumann conditions
    existence and uniqueness of solutions
    second order operator with an infinite number of variables
    Opis:
    In this paper, by using the theorems of [Lions (1971) and Lions & Magenes (1972)], the optimal control problem for distributed hyperbolic systems, involving second order operator with an infinite number of variables, in which constant lags appear both in the state equations and in the boundary conditions is considered. The optimality conditions for Neumann boundary conditions are obtained and the set of inequalities that characterize these conditions is formulated. Also, several mathematical examples for derived optimality conditions are presented. Finally, we consider an optimal distributed control problem for (n x n)-infinite variables hyperbolic systems.
    Źródło:
    Archives of Control Sciences; 2011, 21, 4; 373-393
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Glosa do wyroku Sądu Najwyższego z dnia 5 marca 2014 r., sygn. IV KK 341/13
    Autorzy:
    Kruk, Ewa
    Powiązania:
    https://bibliotekanauki.pl/articles/1393263.pdf
    Data publikacji:
    2016-03-31
    Wydawca:
    Uczelnia Łazarskiego. Oficyna Wydawnicza
    Tematy:
    relation between the acts of ‘development’ and ‘issue’ of an order on presenting
    charges
    conditions under which an order on presenting charges may be considered issued
    withdrawal from the announcement of an order on presenting charges and taking a decision to
    attach it to the case files
    relacja pomiędzy „sporządzeniem” a „wydaniem” postanowienia o przedstawieniu zarzutów
    warunki uznania postanowienia o przedstawieniu zarzutów za wydane
    odstąpienie od ogłoszenia postanowienia o przedstawieniu zarzutów i poprzestanie na załączeniu go
    do akt sprawy
    Opis:
    Pogląd Sądu Najwyższego zasługuje na częściową aprobatę. Czynności polegające na „sporządzeniu” oraz „wydaniu” postanowienia o przedstawieniu zarzutów nie powinny być z sobą utożsamiane. Wspomniane postanowienie można bowiem uznać za wydane dopiero po jego ogłoszeniu (z wyjątkiem sytuacji wskazanych w przepisie art. 313 § 1 k.p.k. in fine). Niezwłoczne przystąpienie do przesłuchania podejrzanego, podobnie jak promulgacja wyżej wymienionej decyzji procesowej, jest zaś obowiązkiem organów ścigania, nie stanowi jednak warunku wydania prawnie skutecznego postanowienia o przedstawieniu zarzutów, które sprawia, iż postępowanie przygotowawcze przekształca się z fazy in rem w fazę in personam.
    The opinion of the Supreme Court deserves partial approval. Acts of the ‘development’ and ‘issue’ of an order on presenting charges should not be equated with each other. The above-mentioned order may be considered issued only after its publication (with the exception of the situations laid down in Article 313 § 1 of the Criminal Procedure Code in fine). A suspect’s interrogation without delay as well as the promulgation of the above-mentioned procedural decision is a duty of the law enforcement agencies. However, it is not a necessary condition under which a legally effective order on presenting charges (which transforms the preparatory proceedings from the in rem phase into the in personam phase) can be issued.
    Źródło:
    Ius Novum; 2016, 10, 1; 174-177
    1897-5577
    Pojawia się w:
    Ius Novum
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
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