Evaluation of the impulsive solution space of linear multivariable homogeneous implicit systems

George F. Fragulis

Kybernetika (1994)

  • Volume: 30, Issue: 6, page 629-638
  • ISSN: 0023-5954

How to cite

top

Fragulis, George F.. "Evaluation of the impulsive solution space of linear multivariable homogeneous implicit systems." Kybernetika 30.6 (1994): 629-638. <http://eudml.org/doc/28643>.

@article{Fragulis1994,
author = {Fragulis, George F.},
journal = {Kybernetika},
keywords = {linear; homogeneous matrix differential equation; matrix polynomial; impulsive solutions; infinite spectral data; Jordan pairs},
language = {eng},
number = {6},
pages = {629-638},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Evaluation of the impulsive solution space of linear multivariable homogeneous implicit systems},
url = {http://eudml.org/doc/28643},
volume = {30},
year = {1994},
}

TY - JOUR
AU - Fragulis, George F.
TI - Evaluation of the impulsive solution space of linear multivariable homogeneous implicit systems
JO - Kybernetika
PY - 1994
PB - Institute of Information Theory and Automation AS CR
VL - 30
IS - 6
SP - 629
EP - 638
LA - eng
KW - linear; homogeneous matrix differential equation; matrix polynomial; impulsive solutions; infinite spectral data; Jordan pairs
UR - http://eudml.org/doc/28643
ER -

References

top
  1. F. M. Callier, C. A. Desoer, Multivariable Feedback Systems, Springer-Verlag, New York 1982. (1982) 
  2. S. L. Cambell, Singular Systems of Differential Equations, Pitman, London 1980. (1980) 
  3. S. L. Cambell C. D. Meyer, N. Rose, Applications of the Drazin inverse to linear systems of differential equations with singular constant coefficients, SIAM J. Appl. Math. 31 (1976), 3, 411-425. (1976) MR0431636
  4. D. Cobb, Feedback and Pole placement in descriptor-variable systems, Internat. J. Control 33 (1981), 6, 1135-1146. (1981) Zbl0464.93039MR0624176
  5. D. Cobb, A further interpretation of inconsistent initial conditions in descriptor variable systems, IEEE Trans. Automat. Control AC-28 (1983), 9. (1983) Zbl0522.93037MR0712957
  6. D. Cobb, On the solution of linear differential equations with singular coefficients, J. Differential Equations 46 (1982), 310-323. (1982) MR0681226
  7. N. Cohen, Spectral analysis of regular matrix polynomials, Integral Equations Operator Theory 6 (1983), 161-183. (1983) Zbl0521.15015MR0720106
  8. F. Lewis, A survey of linear singular systems, Circuits Systems Signal Process. 5 (1986), 1. (1986) Zbl0613.93029MR0893725
  9. D. G. Luenberger, Dynamic systems in descriptor form, IEEE Trans. Automat. Control AC-22 (1977), 312-321. (1977) MR0479482
  10. H. H. Rosenbrock, State-Space and Multivariable Theory, Nelson, London 1970. (1970) Zbl0246.93010MR0325201
  11. H. H. Rosenbrock, Structural Properties of Linear dynamical systems, Internat. J. Control 20 (1974), 2, 191-202. (1974) Zbl0285.93019MR0424303
  12. A. I. G. Vardulakis, Linear Multivariable Control: Algebraic Analysis and Synthesis Methods, Wiley, New York 1991. (1991) Zbl0751.93002MR1104222
  13. A. I. G. Vardulakis, G. F. Fragulis, Infinite elementary divisors of polynomial matrices and impulsive solutions of linear homogeneous matrix differential equations, Circuits Systems Signal Process. 8 (1989), 3, 357-373. (1989) Zbl0678.34002MR1015177
  14. G. Verghese, Infinite-frequency Behaviour in Dynamical Systems, Ph.D. Dissertation, Dept. Electrical Engineering, Stanford Univ. 1978. (1978) 
  15. G. Verghese B. C. Levy, T. Kailath, A generalized state-space for singular systems, IEEE Trans. Automat. Control AC-26 (1981), 4, 811-830. (1981) MR0635842
  16. G. Verghese, T. Kailath, Impulsive behaviour in dynamical systems: Structure and significance, In: Proc. 4th Internat. Symp. Mathematical Theory of Networks and Systems, Delft 1979, The Netherlands, pp. 162-168. (1979) 
  17. L. Gohberg P. Lancaster, L. Rodman, Matrix Polynomials, Academic Press, New York 1982. (1982) MR0662418

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.