Some recent results in singular 2-D systems theory

Tadeusz Kaczorek

Kybernetika (1991)

  • Volume: 27, Issue: 3, page 253-262
  • ISSN: 0023-5954

How to cite

top

Kaczorek, Tadeusz. "Some recent results in singular 2-D systems theory." Kybernetika 27.3 (1991): 253-262. <http://eudml.org/doc/28964>.

@article{Kaczorek1991,
author = {Kaczorek, Tadeusz},
journal = {Kybernetika},
keywords = {Solvability conditions; local reachability; local controllability},
language = {eng},
number = {3},
pages = {253-262},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Some recent results in singular 2-D systems theory},
url = {http://eudml.org/doc/28964},
volume = {27},
year = {1991},
}

TY - JOUR
AU - Kaczorek, Tadeusz
TI - Some recent results in singular 2-D systems theory
JO - Kybernetika
PY - 1991
PB - Institute of Information Theory and Automation AS CR
VL - 27
IS - 3
SP - 253
EP - 262
LA - eng
KW - Solvability conditions; local reachability; local controllability
UR - http://eudml.org/doc/28964
ER -

References

top
  1. S. Attasi, Modellisation et traitement de suites a deux indices, IRIA Rap. Laboria, 1975. (1975) 
  2. E. Fornasini, G. Marchesini, State space realization theory of two-dimensional filters, IEEE Trans. Automat. Control AC-21 (1976), 484-491. (1976) Zbl0332.93072MR0414239
  3. E. Fornasini, G. Marchesini, Doubly indexed dynamical systems: State space models and structural properties, Math. System Theory 12 (1978), 59-75. (1978) Zbl0392.93034MR0510621
  4. T. Kaczorek, General response formula for two-dimensional linear systems with variable coefficients, IEEE Trans. Automat. Control AC-31 (1986), 278-280. (1986) Zbl0667.93049MR0825885
  5. T. Kaczorek, Singular general model of 2-D systems and its solution, IEEE Trans. Automat. Control AC-33 (1988), 1060- 1061. (1988) Zbl0699.93061MR0965201
  6. T. Kaczorek, Singular multidimensional linear discrete systems, Proc. IEEE Internat. Symp. Circuits and Systems Helsinki, June 7-9, 1988, pp. 105-108. (1988) Zbl0691.93032
  7. T. Kaczorek, Singular Roesser model and reduction to its canonical form, Bull. Polish Acad. Sci. Tech. Sci. 35 (1987), 645-652. (1987) Zbl0668.93017
  8. T. Kaczorek, General response formula and minimum energy control for general singular model of 2-D systems, IEEE Trans. Automat. Control AC-34 (1989), 433-436. (1989) MR1047996
  9. T. Kaczorek, General response formula, controllability and observability for singular 2-D linear systems with variable coefficients, Proc. IMACS-IFAC Internat. Symp. Math, and Intal. Models in System Simul. Sept. 3-7, Brussels 1990. (1990) MR1183033
  10. T. Kaczorek, Equivalence of singular 2-D linear models, Bull. Pol. Acad. Sci. Tech. Sci. 37 (1989), 263-267. (1989) Zbl0716.93030MR1188749
  11. T. Kaczorek, Existence and uniqueness of solutions and Cayley-Hamilton theorem for general singular model of 2-D systems, Bull. Pol. Acad. Sci. Tech. Sci. 37 (1989) (in press). (1989) Zbl0721.93045
  12. T. Kaczorek, Observability and reconstructibility of singular 2-D systems, Bull. Pol. Acad. Sci. 37 (1989), 531-538. (1989) Zbl0739.93017MR1942865
  13. T. Kaczorek, Observers for 2-D singular systems, Bull. Pol. Scad. Sci. Tech. Sci. 37 (1989), 551-556. (1989) Zbl0739.93018MR1994367
  14. T. Kaczorek, Shuffle algorithm for singular 2-D systems, Bull. Pol. Acad. Sci. Tech. Sci. 38 (1990) (in press). (1990) 
  15. T. Kaczorek, The linear-quadratic optimal regulator for singular 2-D systems with variable coefficients, IEEE Trans. Automat. Control AC-34 (1989), 565 - 566. (1989) MR0991908
  16. T. Kaczorek, M. Świerkosz, Eigenvalue problem for singular Roesser model, Found. Control Engrg. 14 (1989), 25-37. (1989) MR1036615
  17. J. Kurek, The general state-space model for a two-dimensional linear digital system, IEEE Trans. Automat. Control AC-30 (1985), 600-602. (1985) Zbl0561.93034MR0789338
  18. J. Kurek, Strong observability and strong reconstructibility of a system described by the 2-D Roesser model, Internat. J. Control 47 (1988), 633-541. (1988) Zbl0644.93007MR0929179
  19. F. L. Lewis, B. G. Mertzios, On the analysis of two-dimensional discrete singular systems, Math. Control Signal Systems (1989) (in press). (1989) 
  20. R. P. Roesser, A discrete state-space model for linear image processing, IEEE Trans. Automat. Control AC-21 (1975), 1-10. (1975) Zbl0304.68099MR0434507
  21. M. Šebek M. Bisiacco, E. Fornasini, Controllability and reconstructibility conditions for 2-D systems, IEEE Trans. Automat. Control AC-33 (1988), 496-499. (1988) MR0936276

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.