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

Jerzy Kurek

International Journal of Applied Mathematics and Computer Science (2003)

  • Volume: 13, Issue: 1, page 55-60
  • ISSN: 1641-876X

Abstract

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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.

How to cite

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Kurek, Jerzy. "Controllability and reconstructability of a system described by the N-D Roesser model." International Journal of Applied Mathematics and Computer Science 13.1 (2003): 55-60. <http://eudml.org/doc/207623>.

@article{Kurek2003,
abstract = {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.},
author = {Kurek, Jerzy},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {N-D systems; reconstructability; Roesser model; controllability; reconstructibility; D systems; discrete system},
language = {eng},
number = {1},
pages = {55-60},
title = {Controllability and reconstructability of a system described by the N-D Roesser model},
url = {http://eudml.org/doc/207623},
volume = {13},
year = {2003},
}

TY - JOUR
AU - Kurek, Jerzy
TI - Controllability and reconstructability of a system described by the N-D Roesser model
JO - International Journal of Applied Mathematics and Computer Science
PY - 2003
VL - 13
IS - 1
SP - 55
EP - 60
AB - 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.
LA - eng
KW - N-D systems; reconstructability; Roesser model; controllability; reconstructibility; D systems; discrete system
UR - http://eudml.org/doc/207623
ER -

References

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  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. Zbl0392.93034
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  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. Zbl0606.93019
  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. Zbl0622.93008
  9. Kurek J.E. (1990): Controllability of the 2-D Roesser model. - Multidim. Syst. Signal Process., Vol. 1, No. 5, pp. 381-387. Zbl0725.93012
  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. Zbl0708.15005
  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. Zbl0529.65039
  12. Roesser R.P. (1975): A discrete state-space model for linear imageprocessing. - IEEE Trans. Automat. Contr., Vol. AC-20, No. 1, pp. 1-10. Zbl0304.68099
  13. Youla D.C. (1979): Notes on N-dimensional system theory. - IEEE Trans. Circuits Sys., Vol. CAS-26, No. 1, pp. 105-111. Zbl0394.93004

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