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    Wyświetlanie 1-10 z 10
    Tytuł:
    Equivalent descriptions of a discrete-time fractional-order linear system and its stability domains
    Autorzy:
    Ostalczyk, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/330106.pdf
    Data publikacji:
    2012
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    rachunek ułamkowy
    system dyskretno-czasowy
    system liniowy
    fractional calculus
    linear-discrete time system
    stability domain
    Opis:
    Two description forms of a linear fractional-order discrete system are considered. The first one is by a fractional-order difference equation, whereas the second by a fractional-order state-space equation. In relation to the two above-mentioned description forms, stability domains are evaluated. Several simulations of stable, marginally stable and unstable unit step responses of fractional-order systems due to different values of system parameters are presented.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2012, 22, 3; 533-538
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stability of interval positive fractional discrete-time linear systems
    Autorzy:
    Kaczorek, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/331118.pdf
    Data publikacji:
    2018
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    interval system
    positive system
    fractional system
    linear discrete-time system
    stability
    system przedziałowy
    układ dodatni
    układ ułamkowy
    układ liniowy
    układ dyskretno-czasowy
    Opis:
    The aim of this work is to show that interval positive fractional discrete-time linear systems are asymptotically stable if and only if the respective lower and upper bound systems are asymptotically stable. The classical Kharitonov theorem is extended to interval positive fractional linear systems.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2018, 28, 3; 451-456
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On some ways to implement state-multiplicative fault detection in discrete-time linear systems
    Autorzy:
    Krokavec, Dušan
    Filasová, Anna
    Powiązania:
    https://bibliotekanauki.pl/articles/2134045.pdf
    Data publikacji:
    2022
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    linear discrete time system
    state multiplicative fault
    Luenberger observer
    residual filter
    linear matrix inequalities
    liniowy układ dyskretny
    obserwator Luenbergera
    liniowe nierówności macierzowe
    Opis:
    New design conditions on the observer based residual filter design for the linear discrete-time linear systems with zoned system parameter faults are presented. With respect to time evolution of residual signals and with a guarantee of their robustness, the design task is stated in terms of linear matrix inequalities, while the recursive implementation of algorithms is motivated by the platform existence for real-time processing. A major objective is to analyze the configuration required and, in particular, a new characterization of the norm boundaries of the multiplicative zonal parametric faults to be projected onto the structure of the set of linear matrix inequalities.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2022, 32, 2; 229--240
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Minimum energy control of descriptor fractional discrete-time linear systems with two different fractional orders
    Autorzy:
    Sajewski, Ł.
    Powiązania:
    https://bibliotekanauki.pl/articles/330617.pdf
    Data publikacji:
    2017
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    minimum energy control
    descriptor system
    fractional system
    discrete-time linear system
    sterowanie energooszczędne
    układ deskryptorowy
    układ ułamkowy
    liniowy układ dyskretny
    Opis:
    Reachability and minimum energy control of descriptor fractional discrete-time linear systems with different fractional orders are addressed. Using the Weierstrass–Kronecker decomposition theorem of the regular pencil, a solution to the state equation of descriptor fractional discrete-time linear systems with different fractional orders is given. The reachability condition of this class of systems is presented and used for solving the minimum energy control problem. The discussion is illustrated with numerical examples.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2017, 27, 1; 33-41
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Application of the Drazin inverse to the analysis of descriptor fractional discrete-time linear systems with regular pencils
    Autorzy:
    Kaczorek, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/330552.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    Drazin inverse
    descriptor
    fractional system
    discrete-time system
    linear system
    system ułamkowy
    system dyskretno-czasowy
    system liniowy
    Opis:
    The Drazin inverse of matrices is applied to find the solutions of the state equations of descriptor fractional discrete-time systems with regular pencils. An equality defining the set of admissible initial conditions for given inputs is derived. The proposed method is illustrated by a numerical example.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2013, 23, 1; 29-33
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Simple conditions for practical stability of positive fractional discrete-time linear systems
    Autorzy:
    Busłowicz, M.
    Kaczorek, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/907662.pdf
    Data publikacji:
    2009
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    system liniowy
    system dyskretno-czasowy
    system ułamkowy
    stateczność
    stateczność praktyczna
    linear system
    positive
    discrete-time
    fractional
    stability
    practical stability
    Opis:
    In the paper the problem of practical stability of linear positive discrete-time systems of fractional order is addressed. New simple necessary and sufficient conditions for practical stability and for practical stability independent of the length of practical implementation are established. It is shown that practical stability of the system is equivalent to asymptotic stability of the corresponding standard positive discrete-time systems of the same order. The discussion is illustrated with numerical examples.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2009, 19, 2; 263-269
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Positive partial realization problem for linear discrete-time systems
    Autorzy:
    Kaczorek, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/929624.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    system dodatni
    istnienie
    obliczanie
    system liniowy
    system dyskretno-czasowy
    positive systems
    partial realization
    existence
    computation
    linear system
    discrete-time systems
    Opis:
    A partial realization problem for positive linear discrete-time systems is addressed. Sufficient conditions for the existence of its solution are established. A procedure for the computation of a positive partial realization for a given finite sequence of the values of the impulse response is proposed. The procedure is illustrated by four numerical examples.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2007, 17, 2; 165-171
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Detection and Control Problems for Non-Linear Distributed-Parameter Systems With Delays
    Autorzy:
    Namir, A.
    Lahmidi, F.
    Labriji, E. H.
    Powiązania:
    https://bibliotekanauki.pl/articles/911203.pdf
    Data publikacji:
    2000
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    system z rozproszonymi parametrami
    detekcja
    sterowanie
    distributed-parameter systems
    non-linear discrete-time systems
    detection
    control
    fixed-point theorems
    Opis:
    First, we consider non-linear discrete-time and continuous-time systems with unknown inputs. The problem of reconstructing an input using the information given by an output equation is investigated. Then we examine a control problem for non-linear discrete-time hereditary systems, i.e. the problem of finding a control which drives the state of the system from its initial value to a given desired final state. The methods used to solve these problems are based on the state-space technique and fixed-point theorems. To illustrate the outlined ideas, various numerical simulation results are presented.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2000, 10, 3; 437-464
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Zeros in Discrete-Time Mimo Lti Systems and the Output-Zeroing Problem
    Autorzy:
    Tokarzewski, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/911213.pdf
    Data publikacji:
    2000
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    wielowymiarowy układ liniowy
    system dyskretny
    linear multivariable systems
    discrete-time systems
    invariant zeros
    Davison-Wang definition
    output-zeroing problem
    Opis:
    A geometric interpretation of invariant zeros of MIMO LTI discrete-time systems is provided. The zeros are treated as the triples: complex number, state zero direction, input zero direction. Such a treatment is strictly connected with the output zeroing problem and in that spirit the zeros can be easily interpreted even in the degenerate case (i.e. when each complex number constitutes an invariant zero). Simply, in the degenerate case, to each complex number we can assign an appropriate real initial condition and an appropriate real input sequence which produce a non-trivial solution to the state equation and a zero system response. Clearly, when zeros are treated merely as complex numbers, such an interpretation is impossible. The proposed definition of invariant zeros is compared with other commonly known definitions. It is shown that each Smith zero of the system matrix is also an invariant zero in the sense of the definition adopted in the paper. On the other hand, simple numerical examples show that the considered definition of invariant zeros and the Davison-Wang definition are not comparable. The output-zeroing problem for systems decouplable by state feedback is also described.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2000, 10, 3; 537-557
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Novel optimal recursive filter for state and fault estimation of linear stochastic systems with unknown disturbances
    Autorzy:
    Khémiri, K.
    Ben Hmida, F.
    Ragot, J.
    Gossa, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/930170.pdf
    Data publikacji:
    2011
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    filtracja Kalmana
    estymacja stanu
    zakłócenie nieznane
    system liniowy
    system dyskretno-czasowy
    Kalman filtering
    minimum variance estimation
    state estimation
    fault estimation
    unknown disturbances
    linear discrete time systems
    Opis:
    This paper studies recursive optimal filtering as well as robust fault and state estimation for linear stochastic systems with unknown disturbances. It proposes a new recursive optimal filter structure with transformation of the original system. This transformation is based on the singular value decomposition of the direct feedthrough matrix distribution of the fault which is assumed to be of arbitrary rank. The resulting filter is optimal in the sense of the unbiased minimum-variance criteria. Two numerical examples are given in order to illustrate the proposed method, in particular to solve the estimation of the simultaneous actuator and sensor fault problem and to make a comparison with the existing literature results.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2011, 21, 4; 629-637
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-10 z 10

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