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1
Content available remote Stabilization of Linear Systems in Random Horizon via Control
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EN
The control problem with random horizon at finie number of events is investigated in this paper, where the general aim of control is the stabilization (in mean square sense) of linear system at minimum cost. This problem is reduced to the task of optima control with established finite horizon. Moreover, the differences between stabilization with fixed and random horizons are also given. To illustrate those differences a numerical example is included. (original abstract)
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Content available remote On the Fuzzy Control Stochastic Differential Systems
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EN
In this paper, fuzzy control stochastic differential systems are introduced. The existence and some comparison results on solutions of fuzzy control stochastic differential systems and on sheaf-solutions of sheaf fuzzy control stochastic systems are provided. The continuous dependence of solutions and sheaf-solutions on initials and controls is investigated. The results obtained are correct and meaningful for the theory control. (original abstract)
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Niniejszy referat analizuje kierunki rozwoju narodowych systemów nadzoru korporacyjnego. Ramy teoretyczne przedstawiają kilka rożnych ujęć, z których można analizować role mechanizmów nadzorczych stosowanych w poszczególnych systemach. W ostatnich czasach w dobie postępującej globalizacji gospodarki oraz internacjonalizacji rynków kapitałowych obserwuje się wiele zmian powodujących zacieranie granic pomiędzy rożnymi systemami. Zdania autorów odnośnie rozwoju narodowych mechanizmów regulacyjnych są podzielone, jednakże większość wskazuje na stopniową ewolucje tych systemów w kierunku modelu amerykańskiego. (abstrakt oryginalny)
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The article discusses the development trends of international systems of corporate governance. It has presented theoretical framework of several different approaches; each one of them provides a platform for analyzing the role of corporate governance mechanisms used in various systems. (J.W.)
EN
We consider a steady-state heat conduction problem P for the Poisson equation with Mied Bondary conditions in a bounded multidimensional domain Ω. We also consider a family of problems Pα for the same Poisson equation with mixed boundary conditions, α > 0 being the heat transfer coefficient defined on a portion Γ1 of the boundary. We formulate simultaneous distributed and Neumann boundary optimal control problems on the internal energy g within Ω and the heat flux q, defined on the complementary portion Γ2 of the boundary of Ω for quadratic cost functional. Here, the control variable is the vector (g,q). We prove existence and uniqueness of the optimal control (g,q) for the system state of P, and (gα,qα) for the system state of Pα, for each α > 0, and we give the corresponding optimality conditions. We prove strong convergence, in suitable Sobolev spaces, of the vectorial optimal controls, system and adjoint states governed by the problems Pα to the corresponding vectorial optimal control, system and adjoint states governed by the problem P, when the parameter α goes to infinity. We also obtain estimations between the solutions of these vectorial optimal control problems and the solution of two scalar optimal control problems characterized by fixed g (with boundary optimal control q) and fixed q (with distributed optimal control g), respectively, for cases both of α > 0 and α = ∞. (original abstract)
5
Content available remote Fractional Order PI Controllers for TCP Packet Flow Ensuring Given Modulus Margins
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EN
An Active Queue Management (AQM) robust control strategy for Traffic Control Protocol (TCP) data transfer is proposed. To this purpose, the TCP behaviour is first approximated by a second-order model with delayed input obtained from the linearization of an efficient and commonly used nonlinear fluid-based model. The adopted feedback control structure uses a fractional-order PI controller. To ensure the desired robustness, the parameter regions where such a controller guarantees a given modulus margin (inverse of the H∞ norm of the sensitivity function) are derived. An example commonly used in the literature is worked out to show that the suggested graphically-based design technique is simple to apply while it limits the effects of disturbances and of the unmodelled dynamics. (original abstract)
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Content available remote A simple proof of the maximum principle with endpoint constraints
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EN
The paper presents a new, relatively simple proof of Pontryagin's maximum principle for the canonical problem of optimal control, with equality and inequality constraints imposed on the trajectory endpoints. The proof combines together two ideas, which appeared separately in the earlier works: application of the Karush-John conditions for finite-dimensional problems, and using packages of needle variations. (original abstract)
EN
An optimal control problem with a state constraint of inequality type and with dynamics described by a semilinear hyperbolic equation in divergence form with the non-homogeneous boundary condition of the third kind is considered. The state constraint contains a functional parameter that belongs to the class of continuous functions and occurs as an additive term. We study the properties of solutions of linear hyperbolic equations in divergence form with measures in the original data and compute the first variations of functionals on the basis of a so-called two-parameter needle variation of controls. We consider the necessary conditions for minimizing sequences in an optimal control problem with a pointwise in time state constraint of inequality type and with dynamics described by a semilinear hyperbolic equation in divergence form with the non-homogeneous boundary condition of the third kind. For the parametric optimization problem, we also consider regularity and normality conditions stipulated by the differential properties of its value function. (original abstract)
EN
This paper considers the problem of designing a robust H∞ fuzzy state-feedback controller for a class of nonlinear Markovian jump systems with time-varying delay. A novel design methodology has been proposed for designing a controller that guarantees the L2-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value. Solutions to the problem are provided in terms of linear matrix inequalities. To illustrate the effectiveness of the design developed in this paper, a numerical example is also provided. (original abstract)
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In this paper, we introduce four new classes of open sets in general Euclidean space RN. It is shown that every such class of open sets is compact under the Hausdorff distance. The result is applied to a shape optimization problem of p-Laplacian equation. The existence of the optimal solution is presented. (original abstract)
10
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Multivariate polynomial matrices arise from the treatment of linear systems of partial differential equations, delay-differential equations or multidimensional discrete equations. In this paper we generalize some of the results obtained for the equivalence to the Smith normal form for a class of multivariate polynomial matrices. (original abstract)
EN
An optimal control problem with a state constraint of inequality type and with dynamics described by a semilinear hyperbolic equation in divergence form with the non-homogeneous boundary condition of the third kind is considered. The state constraint contains a functional parameter that belongs to the class of continuous functions and occurs as an additive term. We study the properties of solutions of linear hyperbolic equations in divergence form with measures in the original data and compute the first variations of functionals on the basis of a so-called two-parameter needle variation of controls. We consider the necessary conditions for minimizing sequences in an optimal control problem with a pointwise in time state constraint of inequality type and with dynamics described by a semilinear hyperbolic equation in divergence form with the non-homogeneous boundary condition of the third kind. For the parametric optimization problem, we also consider regularity and normality conditions stipulated by the differential properties of its value function. (original abstract)
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W każdej funkcji zarządczej (produkcji, finansach, marketingu itd.) problematyka kontroli jest rozpatrywana w kontekście procesu zarządzania, a przez jej realizację poszukuje się środka do podnoszenia skuteczności i efektywności procesów decyzyjnych. Z punktu widzenia tej roli nie ma większego znaczenia, czy umieścimy kontrolę na końcu łańcucha procesu zarządzania (po analizie, planowaniu i wdrażaniu), czy też postawimy ją na czele tego procesu, gdyż stanowi ona element spinający go, wprowadzając ciągłość w jego funkcjonowanie. Dzięki kontroli, czynności, które można by uznać za zakończone (przeprowadzenie analizy oraz sformułowanie planu działania daje takie wrażenie skończonego zadania), spinane są w spiralę powtarzających się i wzajemnie powiązanych działań. Gdyby więc zabrakło kontroli, ciągłość i efektywność procesów zarządczych w obrębie konkretnej funkcji zarządczej (np. marketingu) byłaby problematyczna. (fragment tekstu)
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2000
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tom 7
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nr nr 849
27-33
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Omówiono teoretyczne zagadnienia dotyczące kontroli wewnętrznej w bankach i w innych organizacjach. Przedstawiono aspekty konieczności występowania kontroli, cele kontroli, cechy predyspozycyjne kontrolerów oraz cechy systemu kontroli wewnętrznej.
EN
The development of the banking system, resulting from the changes in Polish economy, is charakterized by high dynamics of the banking operations being performed and by changes in the broad spectrum of banking services. The emergence of new unknown products and instruments accompanied by a high risk (e.g. derived instruments) creates an error-prone environment. It is enhanced by workers themselves because they are assigned new tasks and they are confronted with procedures and regulations that are not fully clear to them. Furthermore, the increasing competition among the banks, aimed at acquiring new customers, leads to the liberalization of their internal procedures which makes the banks more exposed to high risks. In order to prevent erros, eliminate them, determine the scale of the banking risk being undertaken, prevent corruption, and protect the bank, banks and other organizations create control divisions. This kind of control is designed to protect the realization of the goals set by a bank or any other organizations. The advantages of the internal control at the banks are numerous but this fact is often ignored and the possibilities created by a properly organized control system are underestimated. It is a frequent occurrence that the control itself becomes separated from the whole organization, and the fact that it is an inseparable part of every management system is overlooked. The popularity of the control is further diminished by the attitude of the workers of a given organization, since in many instances they do not understand its aims and statutory tasks. (original abstract)
EN
This paper analyses a trajectory tracking control problem for a wheeled mobile robot, Rusing integration of a kinematic neural controller (KNC) and a torque neural controller (TNC), in which both the kinematic and dynamic models contain uncertainties and disturbances. The proposed adaptive neural controller (PANC) is composed of the KNC and the TNC and is designed with use of a modeling technique of Gaussian radial basis function neural networks (RBFNNs). The KNC is a variable structure controller, based on the sliding mode theory and is applied to compensate for the disturbances of the wheeled mobile robot kinematics. The TNC is an inertia-based controller composed of a dynamic neural controller (DNC) and a robust neural compensator (RNC) applied to compensate for the wheeled mobile robot dynamics, bounded unknown disturbances, and neural network modeling errors. To minimize the problems found in practical implementations of the classical variable structure controllers (VSC) and sliding mode controllers (SMC), and to eliminate the chattering phenomenon, the nonlinear and continuous KNC and RNC of the TNC are applied in lieu of the discontinuous components of the control signals that are present in classical forms. Additionally, the PANC neither requires the knowledge of the wheeled mobile robot kinematics and dynamics nor the timeconsuming training process. Stability analysis, convergence of the tracking errors to zero, and the learning algorithms for the weights are guaranteed based on the Lyapunov method. Simulation results are provided to demonstrate the effectiveness of the proposed approach. (original abstract)
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Scharakteryzowano zagadnienie kontroli wewnętrznej w przedsiębiorstwie. Omówiono jej funkcje, jaka powinna być i co daje kontrola, rolę człowieka w procesie kontroli oraz zagadnienie kontroli w sferze finansowej.
EN
Article agitates theme of role internal control in firm. Control complies many function and is needful in big and small organization. The scope and importance of internal control function depend on the size of the firm. Control, which regards past, should be after all talking about future. (original abstract)
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Content available remote Generalized α-V-univex Functions for Multiobjective Variational Control Problems
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EN
The purpose of this paper is to introduce a new class of α-V-univex / generalized α-V-univex functions for a class of multiobjective variational control problems. Moreover, sufficient optimality conditions and Mond-Weir type duality results, associated with the multiobjective variational control problem, are established under aforesaid assumptions. (original abstract)
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Refleksje przedstawione w artykule mają charakter teoretyczny i skupiają się na krytycznym odczytaniu idei kontroli społecznej. Rozpoczyna je analiza cech klimatu intelektualnego ukierunkowującego obecne podejście socjologii do kontroli społecznej. Po czym postawiono kilka hipotez dotyczących wcielania instrumentów kontroli i przedmiotu kontroli społecznej. Mają one realizować dwa cele: po pierwsze, inspirować do przemyśleń, krytycznych interpretacji znanych idei i dalszych poszukiwań w opisywanych obszarach; po drugie, pobudzić kolejne próby teoretyzowania o problematyce kontroli społecznej w sposób uwzględniający jej złożoność. W konkluzjach rozważań pojawiają się trzy postulaty. Dotyczą one rekapitulacji, rewitalizacji i rekontekstualizacji założeń, pojęć i konceptów używanych w teorii kontroli społecznej. (abstrakt oryginalny)
EN
The reflections presented in this article are theoretical in character and focus on a critical reading of the ideas of social control. The starting point is an analysis of the features of intellectual climate, directing the present approach of sociology toward social control. Some hypotheses regarding the embodiment of the instruments and objects of social control are presented. They serve two purposes. Firstly, they are supposed to inspire critical interpretations of known ideas and further inquiries in the investigated domains. Secondly, they are supposed to stimulate further attempts at formulating a theory focused on the complexity of social control. In conclusion to the presented considerations, we present postulates regarding the recapitulation, revitalization and recontextualization of the assumptions and concepts applied in the theory of social control. (original abstract)
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Obok tradycyjnych już pytań, który model lepiej sprosta wymaganiom coraz trudniejszego rynku i z jakich źródeł przedsiębiorstwa powinny pozyskiwać kapitał, zaczęto stawiać pytania czy posiadanie kontrolnego pakietu głosów w przedsiębiorstwie: - wpływa na "dystrybucję" wartości przedsiębiorstwa; - przynosi dodatkowe korzyści kontrolującym; - czy jakie są determinanty tych korzyści. W opracowaniu podejmuję tę tematykę starając się przedstawić genezę problemu i rozważania teoretyczne. Celem opracowania jest również dostarczenie dowodów na istnienie korzyści z posiadania kontroli, zmierzenie wartość kontroli w Polsce i zbadanie jej determinantów. (fragment tekstu)
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The paper aims at a critical presentation of basic algorithms used for solving linear-quadratic optimal control models. The assumptions concerning the random disturbances allow us to use the certainty equivalence theorem and to ignore disturbances in computing optimal solutions. Thus, the problem to be solved is a deterministic one. The paper presents three algorithms representative for global and stage - wise mode i.e. the. Nestor algorithm and algorithms by Chow and Pindyck. The author investigates the case of solving a nonlinear-quadratic optimal control model by an algorithm invented by Chow. Finally, she reviews published criticism of the optimal control theory and its economic applications, including the most important critical remarks made by Lucas, which led to the invention of the generalized theory of optimal control. (original abstract)
EN
The purpose of the paper is to present methods that can be effectively used for modeling economic decision making processes with conflicting objectives of various groups of decision makers. The analyzed system is described on the basis of an econometric model. The problem is modeled within the framework of a game theoretical approach. Basic types of organizational structure are discussed, and special emphasis is put on the Nash game. Two types of information structures are distinguished and discussed in the context of a policy model with a discrete time econometric model as part of it. The paper presents algorithms used in an open-loop as well as a closed-loop information structure. The method employed for solving the problem is dynamic programming, which in the open-loop Nash game could be applied either in a global or in stage-wise mode. There are five different algorithms presented, and special emphasis is put on the generalization of Haas's algorithm, which makes it possible to apply it to the nonlinear model. (original abstract)
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