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Controllability and reconstructability of a system described by the N-D Roesser model

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EN
Abstrakty
EN
The controllability and reconstructability (global) of the system described by a digital N-D Roesser model are defined. Then, necessary and sufficient conditions for system controllability and reconstructability are given. The conditions constitute a generalization of the corresponding conditions for 1-D systems.
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autor
  • Institute of Automatic Control and Robotics Warsaw University of Technology ul. Sw. A. Boboli 8, 02-525 Warsaw, Poland, j.kurek@mchtr.pw.edu.pl
Bibliografia
  • [1] Attasi S. (1973): Systémes lineaires homogénes á deux indices. —Rapport Laboria, Vol. 31, No. 1, pp. 1–37.
  • [2] Bisiacco M. (1985): State and output feedback stabilizability of 2-D systems. — IEEE Trans. Circ. Syst., Vol. CAS-32, No. 11, pp. 1246–1254.
  • [3] Fornasini E. and Marchesini G. (1978): Doubly indexed dynamical systems: State-space models and structural properties. —Math. Syst. Theory, Vol. 12, No. 1, pp. 59–72.
  • [4] Kaczorek T. (1985): Two-Dimensional Linear Systems. — Heidelberg: Springer.
  • [5] Kung S.Y., Levy B.C., Morf M. and Kailath T. (1977): New results in 2-D systems theory, Part II: 2-D state-space model realization and the notions of controllability, observability, and minimality.—Proc. IEEE, Vol. 65, No. 10, pp. 945–961.
  • [6] Kurek J.E. (1985): The general state-space model for a twodimensional linear digital systems. — IEEE Trans. Automat. Contr., Vol. AC-30, No. 5, pp. 600–602.
  • [7] Kurek J.E. (1987): Observability and reconstructability of 2-D linear digital systems. — IEEE Trans. Automat. Contr., Vol. AC-32, No. 2, pp. 170–172.
  • [8] Kurek J.E. (1987): Reachability of a system described by the multidimensional Roesser model.—Int. J. Contr., Vol. 45, No. 6, pp. 1559–1563.
  • [9] Kurek J.E. (1990): Controllability of the 2-D Roesser model. — Multidim. Syst. Signal Process., Vol. 1, No. 5, pp. 381–387.
  • [10] Kurek J.E. (1990): Genericness of solution to N-dimensional polynomial matrix equation XA = I.—IEEE Trans Circ. Syst., Vol. 37, No. 9, pp. 1041–1043.
  • [11] Marszalek W. (1984): Two dimensional state-space discrete models for hyperbolic partial differential equations. — Appl. Math. Models, Vol. 8, No. 1, pp. 11–14.
  • [12] Roesser R.P. (1975): A discrete state-space model for linear image processing.—IEEE Trans. Automat. Contr., Vol. AC-20, No. 1, pp. 1–10.
  • [13] Youla D.C. (1979): Notes on N-dimensional system theory. — IEEE Trans. Circuits Sys., Vol. CAS-26, No. 1, pp. 105–111.
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Bibliografia
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bwmeta1.element.baztech-article-BPZ1-0002-0005
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