PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

On the solution of the implicit Roesser model

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The main objective of this work is to provide a closed formula for the backward and symmetric solution of the 2-D implicit Roesser model. The relative forward and backward fundamental matrix is of fundamental importance in our approach. An algorithm for the determination of the backward fundamental matrix sequense is also given.
Twórcy
  • Department of Mathematics, Aristotle University of Thessaloniki, Thessaloniki 54006, Greece, karampet@math.auth.gr
Bibliografia
  • [1] N.K. Bose, Applied Multidimensional Systems Theory, Van Nostrand Reinhold, New York, 1982.
  • [2] N.K. Base, B. Buchberger, and J. Guiver, Multidimensional Systems Theory and Applications, Kluwer, Dordrecht, 2003.
  • [3] T. Kaczorek, "Linear control systems", Synthesis of Mutivariable and Multidimensional Systems, 2 (1993).
  • [4] R.P. Roesser, "A discrete state-space model for linear image processing", IEEE Trans. on Automatic Control 25, 1-10 (1975).
  • [5] E. Fornasini and G. Marchesini, "Doubly indexed dynamical systems: state space models and structural properties", Math. Systems Theory 12, 59-72 (1970).
  • [6] W. Marszalek, "Two-dimensional state-space discrete models for hyperbolic partial differential equations", Appl. Math. Model. 8, 11-14 (1984).
  • [7] T. Kaczorek, "The singular general model of 2-D systems and its solution", IEEE Transaction on Automatic Control 33, 1060-1061 (1988).
  • [8] T. Kaczorek, "Singular Roesser model and reduction to its canonical form", Bull. Pol. Ac.: Tech. 35,645-652 (1987).
  • [9] F. L. Lewis, "Recent work in singular systems", Proc. Int. Symp. Singular Systems, 20-24 (1987).
  • [10] K. Galkowski, "A perspective on singularity in 2D linear systems", Multidimensional Systems and Signal Processing 11, 83-108 (2000).
  • [11] T. Kaczorek, "General response formula and minimum energy control for the general singular model of 2-D systems", IEEE Trans. on Automatic Control 35 (4),433--436 (1990).
  • [12] F.L. Lewis and B.G. Mertzios, "On the analysis of two dimensional discrete singular systems", Circuit Systems & SignalProc., 11 (1992).
  • [13] F.L. Lewis and B.G. Mertzios, "On the analysis of discrete linear time-invariant singular systems", IEEE Trans. on Automatic Control 35 (4), 506-511 (1990).
  • [14] S.L. Campbell, Singular Systems of Differential Equations, Pitman, San Francisco, 1980.
  • [15] B. Dziurla and R. Newcomb, "The Drazin inverse and semistate equations", Proc 4th Int. Symp. Math: Theory of Networks. Syst., 283-289 (1979).
  • [16] B.G. Mertzios and F.L. Lewis, "Fundamental matrix of discrete singular systems", Circuit Systems Signal Processing 8 (3),341-355 (1989).
  • [17] N.J. Rose, "The Laurent expansion of a generalized resolvent with some applications", SIAM J. Math. Analysis 9 (4), 751-758 (1978).
  • [18] P. Schweitzer and G.W. Stewart, "The Laurent expansion of pencils that are singular at the origin", Linear Algebra and its Applications 183, 237-254 (1978).
  • [19] J. Kurek, "The general state-space model for a two-dimensional linear digital system", IEEE Trans. on Automatic Control 30, 600-602 (1985).
  • [20] T. Kaczorek, "Equivalence of singular 2-D linear models", Bull. Pol. Ac.: Tech. 37, 113-117 (1989).
  • [21] F.L. Lewis, "A review of 2-D implicit systems", Automatica 28 (2), 345-354 (1992).
  • [22] A. Karamancioglu, "Two-dimensional implicit linear systems", Ph.D. Thesis, Dept. of Electrical Engineering, University of Texas at Arlington, Arlington, Texas, (1991).
  • [23] N.P. Karampetakis, B.G. Mertzios, and A.I.G. Vardulakis, "Computation of the transfer function matrix and its Laurent expansion of generalized two-dimensional systems", Int. J. Control 60 (4), 521-541 (1994).
  • [24] B.G. Mertzios and F.L. Lewis, "An algorithm for the computation of the transfer function matrix of generalized 2-D systems", Circuit Systems and Signal Process 7, 459-466 (1988).
  • [25] T. Kaczorek, Two-Dimensional Linear Systems, Springer Verlag, Berlin, 1985.
  • [26] Y. Uetake, "Realization of noncausal 2-D systems based on a descriptor model", IEEE Trans. on Automatic Control 37 (11), 1837-1840 (1992).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPG5-0028-0014
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.