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    Wyświetlanie 1-7 z 7
    Tytuł:
    Real solutions of polynomial equations
    Autorzy:
    Kiritsis, K. H.
    Powiązania:
    https://bibliotekanauki.pl/articles/206506.pdf
    Data publikacji:
    2017
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    polynomial equations
    polynomial matrices
    real solutions
    Opis:
    In this paper the problem of existence of solution of polynomial equations over the field of real numbers is considered. In particular, the explicit necessary and sufficient conditions are established for the equation A(z)X + B(z)Y = C(z) in polynomial matrices to have a solution for X and Y over the field of real numbers, with X being non-singular, for every polynomial matrix C(z) from a given class.
    Źródło:
    Control and Cybernetics; 2017, 46, 2; 177-185
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Computation of a canonical form for neutral delay-differential systems
    Autorzy:
    Boudellioua, M. S.
    Powiązania:
    https://bibliotekanauki.pl/articles/206607.pdf
    Data publikacji:
    2015
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    delay-differential systems
    polynomial matrices
    Smith form
    unimodular equivalence
    Opis:
    In this paper, symbolic computation techniques are used to obtain a canonical form for polynomial matrices arising from linear delay-differential systems of the neutral type. The canonical form can be regarded as an extension of the companion form, often encountered in the theory of linear systems, described by ordinary differential equations. Using the Smith normal form, the exact connection between the original polynomial matrix and the reduced canonical form is set out. An example is given to illustrate the computational aspects involved.
    Źródło:
    Control and Cybernetics; 2015, 44, 3; 357-368
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Further results on the equivalence to Smith form of multivariate polynomial matrices
    Autorzy:
    Boudellioua, M. S.
    Powiązania:
    https://bibliotekanauki.pl/articles/205802.pdf
    Data publikacji:
    2013
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    linear functional systems
    multivariate polynomial matrices
    unimodular equivalence
    smith form
    Gröbner bases
    Opis:
    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.
    Źródło:
    Control and Cybernetics; 2013, 42, 2; 543-551
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Pole-free vs. stable-pole designs of minimum variance control for nonsquare LTI MIMO systems
    Autorzy:
    Hunek, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/202277.pdf
    Data publikacji:
    2011
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    minimum variance control
    multivariable control
    inverses of polynomial matrices
    control zeros
    minimum phase systems
    Opis:
    This paper takes advantage of nonuniqueness of the inverse problem for nonsquare transfer function matrices of multivariable systems in order to select such poles, if any, of a minimum variance control system that can either guarantee its closed-loop stability or provide (a sort of) robustness to the control system. As a result, new pole-free and stable-pole MVC designs are offered for nonsquare LTI MIMO systems, the most general of them utilizing the Smith-factorization approach and the so-called control zeros. The new designs contribute to an illustration and extension of the Davison’s theory of (nonsquare) minimum phase systems, in that the lack or presence of (appropriate) control zeros can provide a required performance to the MVC system. Simulation examples in the Matlab/Simulink environment confirm the potential of the control zeros and their impact on redefinition of the minimum phase property.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2011, 59, 2; 201-211
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the realization theory of polynomial matrices and the algebraic structure of pure generalized state space systems
    Autorzy:
    Vardulakis, A. I. G.
    Karampetakis, N. P.
    Antoniou, E. N.
    Tictopoulou, E.
    Powiązania:
    https://bibliotekanauki.pl/articles/907853.pdf
    Data publikacji:
    2009
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    macierz wielomianowa
    nierozkładalność
    przestrzeń stanu
    polynomial matrices
    realization theory
    minimality
    irreducibility
    generalized state space
    infinite decoupling zeros
    Opis:
    We review the realization theory of polynomial (transfer function) matrices via 'pure' generalized state space system models. The concept of an irreducible-at-infinity generalized state space realization of a polynomial matrix is defined and the mechanism of the 'cancellations' of 'decoupling zeros at infinity' is closely examined. The difference between the concepts of irreducibility and minimality of generalized state space realizations of polynomial (transfer function) matrices is pointed out and the associated concepts of dynamic and non-dynamic variables appearing in generalized state space realizations are also examined.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2009, 19, 1; 77-88
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A study on new right/left inverses of nonsquare polynomial matrices
    Autorzy:
    Hunek, W. P.
    Latawiec, K. J.
    Powiązania:
    https://bibliotekanauki.pl/articles/907786.pdf
    Data publikacji:
    2011
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    układ wielowymiarowy
    macierz wielomianowa
    sterowanie minimalnowariancyjne
    multivariable systems
    right/left inverses of polynomial matrices
    Smith factorization
    minimum variance control
    Opis:
    This paper presents several new results on the inversion of full normal rank nonsquare polynomial matrices. New analytical right/left inverses of polynomial matrices are introduced, including the so-called [...]-inverses, [...]-inverses and, in particular, S-inverses, the latter providing the most general tool for the design of various polynomial matrix inverses. The application-oriented problem of selecting stable inverses is also solved. Applications in inverse-model control, in particular robust minimum variance control, are exploited, and possible applications in signal transmission/recovery in various types of MIMO channels are indicated.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2011, 21, 2; 331-348
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Proper feedback compensators for a strictly proper plant by polynomial equations
    Autorzy:
    Callier, F. M.
    Kraffer, F.
    Powiązania:
    https://bibliotekanauki.pl/articles/908450.pdf
    Data publikacji:
    2005
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    liniowy układ stacjonarny
    sprzężenie zwrotne
    macierz wielomianowa
    równanie wielomianowe
    linear time-invariant feedback control systems
    polynomial matrix systems
    row-column-reduced polynomial matrices
    feedback compensator design
    flexible belt device
    Opis:
    We review the polynomial matrix compensator equation XlDr + YlNr = Dk (COMP), e.g. (Callier and Desoer, 1982, Kučera, 1979; 1991), where (a) the right-coprime polynomial matrix pair (Nr,Dr) is given by the strictly proper rational plant right matrix-fraction P = NrD-1 r , (b) Dk is a given nonsingular stable closed-loop characteristic polynomial matrix, and (c) (Xl, Yl) is a polynomial matrix solution pair resulting possibly in a (stabilizing) rational compensator given by the left fraction C = X-1 l Yl. We recall first the class of all polynomial matrix pairs (Xl, Yl) solving (COMP) and then single out those pairs which result in a proper rational compensator. An important role is hereby played by the assumptions that (a) the plant denominator Dr is column-reduced, and (b) the closed-loop characteristic matrix Dk is row-column-reduced, e.g., monically diagonally degree-dominant. This allows us to get all solution pairs (Xl, Yl) giving a proper compensator with a row-reduced denominator Xl having (sufficiently large) row degrees prescribed a priori. Two examples enhance the tutorial value of the paper, revealing also a novel computational method.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2005, 15, 4; 493-507
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-7 z 7

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