Analysis of the descriptor Roesser model with the use of the Drazin inverse

Tadeusz Kaczorek

International Journal of Applied Mathematics and Computer Science (2015)

  • Volume: 25, Issue: 3, page 539-546
  • ISSN: 1641-876X

Abstract

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A method of analysis for a class of descriptor 2D discrete-time linear systems described by the Roesser model with a regular pencil is proposed. The method is based on the transformation of the model to a special form with the use of elementary row and column operations and on the application of a Drazin inverse of matrices to handle the model. The method is illustrated with a numerical example.

How to cite

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Tadeusz Kaczorek. "Analysis of the descriptor Roesser model with the use of the Drazin inverse." International Journal of Applied Mathematics and Computer Science 25.3 (2015): 539-546. <http://eudml.org/doc/271780>.

@article{TadeuszKaczorek2015,
abstract = {A method of analysis for a class of descriptor 2D discrete-time linear systems described by the Roesser model with a regular pencil is proposed. The method is based on the transformation of the model to a special form with the use of elementary row and column operations and on the application of a Drazin inverse of matrices to handle the model. The method is illustrated with a numerical example.},
author = {Tadeusz Kaczorek},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {Drazin inverse; descriptor; Roesser model; descriptor-time; 2D linear system},
language = {eng},
number = {3},
pages = {539-546},
title = {Analysis of the descriptor Roesser model with the use of the Drazin inverse},
url = {http://eudml.org/doc/271780},
volume = {25},
year = {2015},
}

TY - JOUR
AU - Tadeusz Kaczorek
TI - Analysis of the descriptor Roesser model with the use of the Drazin inverse
JO - International Journal of Applied Mathematics and Computer Science
PY - 2015
VL - 25
IS - 3
SP - 539
EP - 546
AB - A method of analysis for a class of descriptor 2D discrete-time linear systems described by the Roesser model with a regular pencil is proposed. The method is based on the transformation of the model to a special form with the use of elementary row and column operations and on the application of a Drazin inverse of matrices to handle the model. The method is illustrated with a numerical example.
LA - eng
KW - Drazin inverse; descriptor; Roesser model; descriptor-time; 2D linear system
UR - http://eudml.org/doc/271780
ER -

References

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