Geometric methods in the theory of singular 2-D linear systems

Giuseppe Conte; Anna Maria Perdon; Tadeusz Kaczorek

Kybernetika (1991)

  • Volume: 27, Issue: 3, page 263-270
  • ISSN: 0023-5954

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Conte, Giuseppe, Perdon, Anna Maria, and Kaczorek, Tadeusz. "Geometric methods in the theory of singular 2-D linear systems." Kybernetika 27.3 (1991): 263-270. <http://eudml.org/doc/28958>.

@article{Conte1991,
author = {Conte, Giuseppe, Perdon, Anna Maria, Kaczorek, Tadeusz},
journal = {Kybernetika},
keywords = {Fornasini-Marchesini model},
language = {eng},
number = {3},
pages = {263-270},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Geometric methods in the theory of singular 2-D linear systems},
url = {http://eudml.org/doc/28958},
volume = {27},
year = {1991},
}

TY - JOUR
AU - Conte, Giuseppe
AU - Perdon, Anna Maria
AU - Kaczorek, Tadeusz
TI - Geometric methods in the theory of singular 2-D linear systems
JO - Kybernetika
PY - 1991
PB - Institute of Information Theory and Automation AS CR
VL - 27
IS - 3
SP - 263
EP - 270
LA - eng
KW - Fornasini-Marchesini model
UR - http://eudml.org/doc/28958
ER -

References

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  1. P. Bernhard, On singular implicit linear dynamical systems, SIAM J. Control Optim. 20 (1982), 612-633. (1982) Zbl0491.93004MR0667644
  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. (1988) MR0959020
  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. (1988) Zbl0675.93023
  4. G. Conte, A. M. Perdon, On the geometry of 2D systems, Proc. IEEE Internat. Symp. on Circuits and Systems Helsinki - Finlandia, 1988. (1988) Zbl0695.93048
  5. E. Fornasini, G. Marchesini, Doubly indexed dynamical systems: State space models and structural properties, Math. Systems Theory 12 (1978), 59 - 72. (1978) Zbl0392.93034MR0510621
  6. T. Kaczorek, ( A , B ) -invariant subspaces and V-invariant subspaces for Fornasini-Marchesini’s model, Bull. Polish Acad. Sci. Tech. Sci. 35 (1988). (1988) 
  7. T. Kaczorek, Singular general model of 2D systems and its solutions, IEEE Trans. Automat. Control AC-33 (1988), 1060-1061. (1988) MR0965201
  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. (1990) MR1047996
  9. T. Kaczorek, Existence and uniqueness of solutions and Cayley-Hamilton theorem, Bull. Polish Acad. Sci. Tech. Sci. 37 (1989) (in press). (1989) Zbl0721.93045
  10. F. Lewis, A survey of 2D implicit systems, Proc. IMACS Internat. Symp. on Mathematical an Intelligent Models in System Simulation, Brussels, Belgium 1990. (1990) 
  11. F. Lewis W. Marszalek, B. G. Mertzios, Walsh function analysis of 2D generalized continuous systems, IEEE Trans. Automat. Control (to appear, 1990). (1990) MR1073259
  12. W. Marszalek, Two dimensional state space discrete models for hyperbolic partial differential equations, Appl. Math. Modelling 8 (1984), 11 - 14. (1984) Zbl0529.65039MR0734035
  13. K. Ozcaldiran, Control of Descriptor Systems, Ph. D. Thesis, Georgia Institute of Tech- nology, 1985. (1985) 
  14. M. Wohnam, Linear Multivariable Control: a Geometric Approach, Third edition. Springer- Verlag, New York-Berlin-Heidelberg 1985. (1985) 

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