PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Structure decomposition of normal 2D transfer matrices

Autorzy
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The notion of the normal transfer matrix and the notion of the structure decomposition of normal transfer matrix for 2D general model are introduced. Necessary and sufficient conditions for the existence of the structure decomposition of normal transfer matrix are established. A procedure for computation of the structure decomposition is proposed and illustrated by the numerical example. It is shown that the impulse response matrix of the normal model is independent of the polynomial part of its structure decomposition.
Twórcy
autor
  • Institute of Industrial Electronic and Control Theory, Warsaw University of Technology, 75 Koszykowa St., 00-662 Warsaw, Poland
Bibliografia
  • [1] B. P. Lampe and E. N. Rosenwasser, “Algebraic properties of irreducible transfer matrices”, Automatica i Telemekhanika 7, 31–43 (2000) (in Russian), (English translation: Automation and Remote Control 61(7), 1091–1102 (2000)).
  • [2] E. N. Rose nwasse r and B. P. Lampe , Algebraische Methoden zur Theorie der Mehrgrosen-Abtastsysteme, Unive rsitat Rostock, 2000.
  • [3] T. Kaczorek, “Normalization of transfer matrix of linear systems by feedbacks”, Control and Cybernetics 31(1), 134–144 (2002).
  • [4] T. Kaczorek, “Influence of the state-feedback on cyclicity of linear systems”, in Proc.of Conf.“Automation 2002”, pp. 81–93 (2002).
  • [5] T. Kaczorek, “Divisibility of minors of transfer matrices in electrical circuits”, Przegląd Elektrotechniczny 11, 297–302 (2001).
  • [6] T. Kaczorek, “Structure decomposition and computation of minimal realization of normal transfer matrix of positive systems”, Proc.of Conf.“Methods and Models in Applications and Robotics”, 30 Aug.–2-Sept. 2004, Międzyzdroje, Poland.
  • [7] T. Kaczorek, Two-Dimensional Linear Systems, SpringerVerlag, New York, 1985.
  • [8] J. Klamka, Controllability of Dynamical Systems, Kluwer Academic Publ., Dordrecht, 1991.
  • [9] R. B. Roesser, “A discrete state space model for linear imageprocessing”, IEEE Trans.Autom.Contr. AC-20, 1–10 (1975).
  • [10] E. Fornasini and G. Marchesini, “State-space realization theory of two-dimension filters”, IEEE Trans.Autom.Contr. AC-21, 484–491 (1976).
  • [11] E. Fornasini and G. Marchesini, “Double indexed dynamical systems: state space model and structural properties”, Math.Syst. Theory 12(197), 59–72 (1978/79).
  • [12] J. Kurek, “The general state space model for linear image processing”, IEEE Trans.Autom.Contr. AC-30, 600–602 (June 1985).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPG5-0001-0044
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.