| Title:
|
Geometric methods in the theory of singular 2-D linear systems (English) |
| Author:
|
Conte, Giuseppe |
| Author:
|
Perdon, Anna M. |
| Author:
|
Kaczorek, Tadeusz |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
27 |
| Issue:
|
3 |
| Year:
|
1991 |
| Pages:
|
263-270 |
| . |
| Category:
|
math |
| . |
| MSC:
|
93B27 |
| MSC:
|
93C05 |
| idZBL:
|
Zbl 0746.93021 |
| idMR:
|
MR1116840 |
| . |
| Date available:
|
2009-09-24T18:25:40Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125804 |
| . |
| Reference:
|
[1] P. Bernhard: On singular implicit linear dynamical systems.SIAM J. Control Optim. 20 (1982), 612-633. Zbl 0491.93004, MR 0667644 |
| Reference:
|
[2] G. Conte, A. M. Perdon: A geometric approach to the theory of 2D-systems.IEEE Trans. Automat. Control AC-33 (1988), 10, 946 - 950. MR 0959020 |
| Reference:
|
[3] G. Conte, A. M. Perdon: Geometric notions in the theory of 2D-systems.In: Linear Circuits, Systems and Signal Processing: Theory and Application (C Byrnes and C Martin, eds.), North-Holland, Amsterdam 1988. Zbl 0675.93023 |
| Reference:
|
[4] G. Conte, A. M. Perdon: On the geometry of 2D systems.Proc. IEEE Internat. Symp. on Circuits and Systems Helsinki - Finlandia, 1988. Zbl 0695.93048 |
| Reference:
|
[5] E. Fornasini, G. Marchesini: Doubly indexed dynamical systems: State space models and structural properties.Math. Systems Theory 12 (1978), 59 - 72. Zbl 0392.93034, MR 0510621 |
| Reference:
|
[6] T. Kaczorek: $(A, B)$-invariant subspaces and V-invariant subspaces for Fornasini-Marchesini's model.Bull. Polish Acad. Sci. Tech. Sci. 35 (1988). |
| Reference:
|
[7] T. Kaczorek: Singular general model of 2D systems and its solutions.IEEE Trans. Automat. Control AC-33 (1988), 1060-1061. MR 0965201 |
| Reference:
|
[8] T. Kaczorek: General response formula and minimum energy control for the general singular model of 2D systems.IEEE Trans. Automat. Control AC-35 (1990), 433 - 436. MR 1047996 |
| Reference:
|
[9] T. Kaczorek: Existence and uniqueness of solutions and Cayley-Hamilton theorem.Bull. Polish Acad. Sci. Tech. Sci. 37 (1989) (in press). Zbl 0721.93045 |
| Reference:
|
[10] F. Lewis: A survey of 2D implicit systems.Proc. IMACS Internat. Symp. on Mathematical an Intelligent Models in System Simulation, Brussels, Belgium 1990. |
| Reference:
|
[11] F. Lewis W. Marszalek, B. G. Mertzios: Walsh function analysis of 2D generalized continuous systems.IEEE Trans. Automat. Control (to appear, 1990). MR 1073259 |
| Reference:
|
[12] W. Marszalek: Two dimensional state space discrete models for hyperbolic partial differential equations.Appl. Math. Modelling 8 (1984), 11 - 14. Zbl 0529.65039, MR 0734035 |
| Reference:
|
[13] K. Ozcaldiran: Control of Descriptor Systems.Ph. D. Thesis, Georgia Institute of Tech- nology, 1985. |
| Reference:
|
[14] M. Wohnam: Linear Multivariable Control: a Geometric Approach.Third edition. Springer- Verlag, New York-Berlin-Heidelberg 1985. |
| . |
