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    Wyświetlanie 1-7 z 7
    Tytuł:
    Adaptive control for a jump linear system with quadratic cost
    Autorzy:
    Czornik, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/970422.pdf
    Data publikacji:
    2004
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    sterowanie adaptacyjne
    adaptive control
    jump linear systems
    linear quadratic problem
    Opis:
    The adaptive control problem for a jump linear system with quadratic cost functional on infinite time interval is solved in this paper. It is assumed that the coefficients of the state equation are unknown but a compact set that contains the parameters is known. A diminishing excitation accompanies the adaptive control signal, to ensure the strong consistency of the weighted least squares algorithm.
    Źródło:
    Control and Cybernetics; 2004, 33, 1; 51-69
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On descriptor systems and related linear quadratic problem
    Autorzy:
    Gessing, R.
    Czornik, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/206689.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    descriptor system
    linear quadratic problem
    Opis:
    It is shown that a descriptor system under the condition of impulse controllability, Cobb (1984), may be converted, by means of linear transformations, to a system described in a state space and composed of state and output equations. The transfomations determine one to one correspondence between the solutions of both the systems. It is noted that the control in a feedback form may not determine a unique solution of the descriptor system what is often overlooked in many previous papers. It is also shown that the LCD problem formulated in a descriptor space for the impulse observable system, Cobb (1984); may be converted by means of linear transformations to the usual LQ problem formulated in the state space. It is stressed that the second problem may be regular even then, when the weighting matrix of the control, in the cost functional of the first problem, is singular. The proposed approach simplifies the calculations related to the LQ problem solution significantly.
    Źródło:
    Control and Cybernetics; 2000, 29, 1; 79-89
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Assignability of numerical characteristics of time-varying systems
    Autorzy:
    Babiarz, A.
    Czornik, A.
    Klamka, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/201070.pdf
    Data publikacji:
    2019
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    assignability
    controllability
    Lyapunov spectrum
    linear time-varying systems
    Opis:
    The main aim of this article is to survey and discuss the existing state of art concerning the assignability by a feedback of numerical characteristics of linear continuous and discrete time-varying systems. Most of the results present necessary or sufficient conditions for different formulation of the Lyapunov spectrum assignability problem. These conditions are expressed in terms of various controllability types and optimalizability of the controlled systems and certain properties of the free system such as: regularity, diagonalizability, boundness away, integral separation and reducibility.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2019, 67, 6; 1007-1022
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On a continuity of characteristic exponents of linear discrete time-varying systems
    Autorzy:
    Czornik, A.
    Mokry, P.
    Niezabitowski, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/229783.pdf
    Data publikacji:
    2012
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    time-varying discrete linear systems
    Lyapunov exponents
    perturbation theory
    characteristic exponents
    Opis:
    In this paper we present a sufficient condition for continuity of Lyapunov exponents of discrete time-varying linear system. Basing on this result we show that Lyapunov exponents of time-invariant systems depend continuously on the time-varying perturbations.
    Źródło:
    Archives of Control Sciences; 2012, 22, 1; 17-27
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the discrete time-varying JLQG problem
    Autorzy:
    Czornik, A.
    Świerniak, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/907993.pdf
    Data publikacji:
    2002
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    automatyka
    robotyka
    jump linear systems
    optimal control
    time-varying systems
    coupled Riccati equations
    Opis:
    In the present paper optimal time-invariant state feedback controllers are designed for a class of discrete time-varying control systems with Markov jumping parameter and quadratic performance index. We assume that the coefficients have limits as time tends to infinity and the boundary system is absolutely observable and stabilizable. Moreover, following the same line of reasoning, an adaptive controller is proposed in the case when system parameters are unknown but their strongly consistent estimators are available.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2002, 12, 2; 203-207
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Asymptotic properties of discrete linear fractional equations
    Autorzy:
    Anh, P. T.
    Babiarz, A.
    Czornik, A.
    Niezabitowski, M.
    Siegmund, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/200917.pdf
    Data publikacji:
    2019
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    linear discrete-time fractional systems
    Caputo equation
    Riemann-Liouville equation
    Volterra convolution equation
    stability
    Opis:
    In this paper we study the dynamical behavior of linear discrete-time fractional systems. The first main result is that the norm of the difference of two different solutions of a time-varying discrete-time Caputo equation tends to zero not faster than polynomially. The second main result is a complete description of the decay to zero of the trajectories of one-dimensional time-invariant stable Caputo and Riemann-Liouville equations. Moreover, we present Volterra convolution equations, that are equivalent to Caputo and Riemann-Liouvile equations and we also show an explicit formula for the solution of systems of time-invariant Caputo equations.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2019, 67, 4; 749-759
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The selected problems of controllability of discrete-time switched linear systems with constrained switching rule
    Autorzy:
    Babiarz, A.
    Czornik, A.
    Klamka, J.
    Niezabitowski, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/200554.pdf
    Data publikacji:
    2015
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    controllability
    switched systems
    discrete-time linear systems
    switching rule
    hybrid systems
    sterowalność
    systemy przełącznicowe
    systemy liniowe
    zasada przełączania
    systemy hybrydowe
    Opis:
    In this paper the controllability problem for discrete-time linear switched systems is considered. The main goal is to find a control signal that steers any initial state to a given final state independently of the switching signal. In the paper, it is assumed that there are some constraints posed on the switching signal. Moreover, we present a necessary and sufficient conditions of some kinds of controllability. Three types of controllability, namely: from zero initial state to any final state, from any initial state to zero final state and from any initial state to any final state are considered. Finally, three illustrative examples are shown.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2015, 63, 3; 657-666
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-7 z 7

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