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    Wyświetlanie 1-10 z 10
    Tytuł:
    Stochastic controllability of systems with multiple delays in control
    Autorzy:
    Klamka, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/907857.pdf
    Data publikacji:
    2009
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    sterowalność
    liniowy system sterowania
    sterowalność stochastyczna
    sterowanie opóźnione
    controllability
    linear control systems
    stochastic control systems
    delayed controls
    multiple delays
    Opis:
    Finite-dimensional stationary dynamic control systems described by linear stochastic ordinary differential state equations with multiple point delays in control are considered. Using the notation, theorems and methods used for deterministic controllability problems for linear dynamic systems with delays in control as well as necessary and sufficient conditions for various kinds of stochastic relative controllability in a given time interval are formulated and proved. It will be proved that, under suitable assumptions, relative controllability of an associated deterministic linear dynamic system is equivalent to stochastic relative exact controllability and stochastic relative approximate controllability of the original linear stochastic dynamic system. As a special case, relative stochastic controllability of dynamic systems with a single point delay is also considered. Some remarks and comments on the existing results for stochastic controllability of linear dynamic systems are also presented.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2009, 19, 1; 39-47
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stochastic controllability of linear systems with state delays
    Autorzy:
    Klamka, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/911240.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    sterowalność
    liniowy system sterowania
    sterowanie z minimalną energią
    controllability
    linear control systems
    stochastic control systems
    delayed state variables
    minimum energy control
    Opis:
    A class of finite-dimensional stationary dynamic control systems described by linear stochastic ordinary differential state equations with a single point delay in the state variables is considered. Using a theorem and methods adopted directly from deterministic controllability problems, necessary and sufficient conditions for various kinds of stochastic relative controllability are formulated and proved. It will be demonstrated that under suitable assumptions the relative controllability of an associated deterministic linear dynamic system is equivalent to the stochastic relative exact controllability and the stochastic relative approximate controllability of the original linear stochastic dynamic system. Some remarks and comments on the existing results for the controllability of linear dynamic systems with delays are also presented. Finally, a minimum energy control problem for a stochastic dynamic system is formulated and solved.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2007, 17, 1; 5-13
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Application of poli-criterial linearization for control problem of stochastic dynamic systems
    Zastosowanie wielokryterialnej linearyzacji w problemie sterowania stochastycznych nieliniowych układów dynamicznych
    Autorzy:
    Socha, L.
    Powiązania:
    https://bibliotekanauki.pl/articles/279864.pdf
    Data publikacji:
    2005
    Wydawca:
    Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
    Tematy:
    Stochastic control of nonlinear systems
    LQG control problem
    stochastic linearization
    Pareto optimal solution
    Opis:
    The problem of the determination of response characteristics and quasi-optimal control for nonlinear stochastic dynamic systems by using a multi-criteria linearization technique is presented in this paper. This idea was first introduced in previous author's paper (Socha, 1999a) for a simple dynamic system. In this paper, it is extended, and detailed analysis is given for a nonlinear oscillator with Gaussian external excitations and for a few criteria of statistical linearization. The obtained results are illustrated by a numerical example for Duffing's oscillator.
    W pracy przedstawiono problem wyznaczania quasi-optymalnego sterowania w nieliniowych stochastycznych układach dynamicznych za pomocą wielokryterialnej metody linearyzacji stochastycznej. Pomysł wielokryterialnej linearyzacji został zasygnalizowany we wcześniejszej pracy autora (Socha, 1999a). W niniejszym artykule jest on rozwinięty i zastosowany do problemu sterowania, a szczegółowa analiza jest przeprowadzona dla nieliniowego oscylatora z addytywnym wymuszeniem Gaussa.
    Źródło:
    Journal of Theoretical and Applied Mechanics; 2005, 43, 3; 675-693
    1429-2955
    Pojawia się w:
    Journal of Theoretical and Applied Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Minimax decisions in some problems of control with many sources of disturbances
    Autorzy:
    Grzybowski, Andrzej
    Powiązania:
    https://bibliotekanauki.pl/articles/747681.pdf
    Data publikacji:
    1989
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    Optimal stochastic control
    Discrete-time systems
    Opis:
    .
    In the paper, a stochastic system with many sources of disturbances is considered. These disturbances have distributions belonging to the exponential family with some unknown parameters. Moreover, it is assumed that a control is disturbed too. A horizon of control is a random variable with a known distribution. Under some additional assumptions the problem of Bayes and minimax control of such system is solved.
    Źródło:
    Mathematica Applicanda; 1989, 17, 31
    1730-2668
    2299-4009
    Pojawia się w:
    Mathematica Applicanda
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Optimal control of ∞-dimensional stochastic systems via generalized solutions of HJB equations
    Autorzy:
    Ahmed, N.
    Powiązania:
    https://bibliotekanauki.pl/articles/729348.pdf
    Data publikacji:
    2001
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    optimal control
    stochastic systems
    infinite dimension
    HJB equation
    stationary feedback control
    Opis:
    In this paper, we consider optimal feedback control for stochastc infinite dimensional systems. We present some new results on the solution of associated HJB equations in infinite dimensional Hilbert spaces. In the process, we have also developed some new mathematical tools involving distributions on Hilbert spaces which may have many other interesting applications in other fields. We conclude with an application to optimal stationary feedback control.
    Źródło:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2001, 21, 1; 97-126
    1509-9407
    Pojawia się w:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Adaptive Control of Discrete Time-Varying LQGko
    Autorzy:
    Czornik, Adam
    Powiązania:
    https://bibliotekanauki.pl/articles/748156.pdf
    Data publikacji:
    1999
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    Estimation and detection
    Adaptive control
    Discrete-time systems
    Stochastic learning and adaptive control
    Opis:
    .
    The adaptive version of the discrete time-varying linear quadratic control is considered under the assumption that the coefficients have limits as time tends to infinity sufficiently fast in certain sense and the limiting system is observable and stabilizable. It is proved that time invariant LS estimator can be used to estimate the limits of the coefficients and that it is strongly consistent under some conditions well known from the time invariant case. The estimator of the parameters is used to define an adaptive control law and it is shown that the control law is optimal.
    Źródło:
    Mathematica Applicanda; 1999, 27, 41
    1730-2668
    2299-4009
    Pojawia się w:
    Mathematica Applicanda
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    About one class of the problems of optimal stochastic control of hybrid dynamical systems
    Autorzy:
    Tevyashev, A.
    Matviyenko, O.
    Powiązania:
    https://bibliotekanauki.pl/articles/410934.pdf
    Data publikacji:
    2016
    Wydawca:
    Polska Akademia Nauk. Oddział w Lublinie PAN
    Tematy:
    optimal stochastic control
    hybryd dynamical systems
    probabilistic constraints on the chase variables
    water main
    Opis:
    A new class of the problems of optimal stochastic control of hybrid dynamical systems different from well-known ones by the introduction of additional extreme and probabilistic constraints on the phase variables is studied in the present work. The mathematical formulation and approximate method of solution of the examined class of the problems are presented in this work. The effectiveness of the use of this class of the problems is illustrated on the example of one of the largest water main of Ukraine.
    Źródło:
    ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes; 2016, 5, 4; 3-10
    2084-5715
    Pojawia się w:
    ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The theorems of Koenig and Birkhoff and their connection with the minimization of the duration time of the measurements of automatic telecommunication channels
    Autorzy:
    Perz, Szczepan
    Zaremba, Leszek
    Powiązania:
    https://bibliotekanauki.pl/articles/748569.pdf
    Data publikacji:
    1982
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    Channel models (including quantum), Discrete-time control systems, Hypergraphs, Matrix equations and identities, Matrices of integers, Stochastic matrices
    Opis:
    .
    A problem (P) of minimization of the duration time of the measurements of automatic telecommunication channels is considered. P is a discrete optimization problem solved by graph theory methods. It is defined by (i)-(v), where: (i) for each i, 1≤i≤p, and j, 1≤1≤p, there are given k ij channels to be measured between node ”i” and node ”j”; (ii) measurement of one channel lasts one unit; (iii) there are exactly two devices, say A, B, in each node (the case where there is an arbitrary number of devices A, B in each node may be easily reduced to this case); (iv) the channel between node ”i” and node ”j” may be measured only by use of device A being present in node ”i” and device B in node ”j”; (v) in each time both devices A or B may measure only one channel. To solve P, some knowledge of hypergraphs as well as functional analysis (the Krein-Milman theorem) and linear algebra (the Koenig theorem) is necessary. The Koenig theorem is proved in a simple manner similarly as the dual Koenig theorem (which is a new result). As corollaries the Birkhoff theorem about bistochastic matrices and the dual Birkhoff theorem are deduced.
    Źródło:
    Mathematica Applicanda; 1982, 10, 19
    1730-2668
    2299-4009
    Pojawia się w:
    Mathematica Applicanda
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Topological dual of $B_∞(I, ₁(X,Y))$ with application to stochastic systems on Hilbert space
    Autorzy:
    Ahmed, N.
    Powiązania:
    https://bibliotekanauki.pl/articles/729390.pdf
    Data publikacji:
    2009
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    representation theory
    topological dual
    finitely additive operator-valued measures
    polish space
    Hilbert space
    stochastic systems
    structural control
    uncertainty abatement
    Opis:
    In this paper, we prove that the topological dual of the Banach space of bounded measurable functions with values in the space of nuclear operators, furnished with the natural topology, is isometrically isomorphic to the space of finitely additive linear operator-valued measures having bounded variation in a Banach space containing the space of bounded linear operators. This is then applied to a stochastic structural control problem. An optimal operator-valued measure, considered as the structural control, is to be chosen so as to minimize fluctuation (volatility). Both existence of optimal policy and necessary conditions of optimality are presented including a conceptual algorithm.
    Źródło:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2009, 29, 1; 67-90
    1509-9407
    Pojawia się w:
    Discussiones Mathematicae, Differential Inclusions, Control and Optimization
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Information and analytical technology for control and operation management of gas transportation systems operation modes
    Informacja i technologia analityczna do zarządzania trybem pracy przy kontroli i obsłudze systemów trasportowych gazu
    Autorzy:
    Tevyashev, Andriy
    Iievlieva, Svitlana
    Powiązania:
    https://bibliotekanauki.pl/articles/1523352.pdf
    Data publikacji:
    2018
    Wydawca:
    Politechnika Bydgoska im. Jana i Jędrzeja Śniadeckich. Wydawnictwo PB
    Tematy:
    gas transportation systems
    optimal stochastic control
    information and analytical technologies
    systemy transportu gazu
    optymalna kontrola stochastyczna
    technologie informacyjne i analityczne
    Opis:
    The purpose of the study is to develop new information and analytical technologies and tools for optimal stochastic control of the technological processes of production, preparation, transportation and distribution of energy resources in the gas transportation systems of Ukraine. The achievement of this goal will enable us to implement a unified, well-balanced approach to the modernization and rational development the gas transportation systems of Ukraine based on achieving maximum indicators in resource saving and environmentally friendly technologies in energy, which is currently extremely relevant.
    Celem badań jest opracowanie nowych technologii narzędzi informacyjnych i analitycznych dla optymalnego stochastycznego sterowania procesami technologicznymi produkcji, przygotowania, transportu i dystrybucji surowców energetycznych w systemach transportu gazu na Ukrainie.
    Źródło:
    Zeszyty Naukowe. Telekomunikacja i Elektronika / Uniwersytet Technologiczno-Przyrodniczy w Bydgoszczy; 2018, 21; 69-84
    1899-0088
    Pojawia się w:
    Zeszyty Naukowe. Telekomunikacja i Elektronika / Uniwersytet Technologiczno-Przyrodniczy w Bydgoszczy
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-10 z 10

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