| Title:
|
Some recent results in singular 2-D systems theory (English) |
| Author:
|
Kaczorek, Tadeusz |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
27 |
| Issue:
|
3 |
| Year:
|
1991 |
| Pages:
|
253-262 |
| . |
| Category:
|
math |
| . |
| MSC:
|
93B05 |
| idZBL:
|
Zbl 0746.93013 |
| idMR:
|
MR1116839 |
| . |
| Date available:
|
2009-09-24T18:25:33Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125810 |
| . |
| Reference:
|
[1] S. Attasi: Modellisation et traitement de suites a deux indices.IRIA Rap. Laboria, 1975. |
| Reference:
|
[2] E. Fornasini, G. Marchesini: State space realization theory of two-dimensional filters.IEEE Trans. Automat. Control AC-21 (1976), 484-491. Zbl 0332.93072, MR 0414239 |
| Reference:
|
[3] E. Fornasini, G. Marchesini: Doubly indexed dynamical systems: State space models and structural properties.Math. System Theory 12 (1978), 59-75. Zbl 0392.93034, MR 0510621 |
| Reference:
|
[4] T. Kaczorek: General response formula for two-dimensional linear systems with variable coefficients.IEEE Trans. Automat. Control AC-31 (1986), 278-280. Zbl 0667.93049, MR 0825885 |
| Reference:
|
[5] T. Kaczorek: Singular general model of 2-D systems and its solution.IEEE Trans. Automat. Control AC-33 (1988), 1060- 1061. Zbl 0699.93061, MR 0965201 |
| Reference:
|
[6] T. Kaczorek: Singular multidimensional linear discrete systems.Proc. IEEE Internat. Symp. Circuits and Systems Helsinki, June 7-9, 1988, pp. 105-108. Zbl 0691.93032 |
| Reference:
|
[7] T. Kaczorek: Singular Roesser model and reduction to its canonical form.Bull. Polish Acad. Sci. Tech. Sci. 35 (1987), 645-652. Zbl 0668.93017 |
| Reference:
|
[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. MR 1047996 |
| Reference:
|
[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. MR 1183033 |
| Reference:
|
[10] T. Kaczorek: Equivalence of singular 2-D linear models.Bull. Pol. Acad. Sci. Tech. Sci. 37 (1989), 263-267. Zbl 0716.93030, MR 1188749 |
| Reference:
|
[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). Zbl 0721.93045 |
| Reference:
|
[12] T. Kaczorek: Observability and reconstructibility of singular 2-D systems.Bull. Pol. Acad. Sci. 37 (1989), 531-538. Zbl 0739.93017, MR 1942865 |
| Reference:
|
[13] T. Kaczorek: Observers for 2-D singular systems.Bull. Pol. Scad. Sci. Tech. Sci. 37 (1989), 551-556. Zbl 0739.93018, MR 1994367 |
| Reference:
|
[14] T. Kaczorek: Shuffle algorithm for singular 2-D systems.Bull. Pol. Acad. Sci. Tech. Sci. 38 (1990) (in press). |
| Reference:
|
[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. MR 0991908 |
| Reference:
|
[16] T. Kaczorek, M. Świerkosz: Eigenvalue problem for singular Roesser model.Found. Control Engrg. 14 (1989), 25-37. MR 1036615 |
| Reference:
|
[17] J. Kurek: The general state-space model for a two-dimensional linear digital system.IEEE Trans. Automat. Control AC-30 (1985), 600-602. Zbl 0561.93034, MR 0789338 |
| Reference:
|
[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. Zbl 0644.93007, MR 0929179 |
| Reference:
|
[19] F. L. Lewis, B. G. Mertzios: On the analysis of two-dimensional discrete singular systems.Math. Control Signal Systems (1989) (in press). |
| Reference:
|
[20] R. P. Roesser: A discrete state-space model for linear image processing.IEEE Trans. Automat. Control AC-21 (1975), 1-10. Zbl 0304.68099, MR 0434507 |
| Reference:
|
[21] M. Šebek M. Bisiacco, E. Fornasini: Controllability and reconstructibility conditions for 2-D systems.IEEE Trans. Automat. Control AC-33 (1988), 496-499. MR 0936276 |
| . |
