Hankel-matrix approach to invertibility of linear multivariable systems

Kanti B. Datta

Kybernetika (1984)

  • Volume: 20, Issue: 2, page 107-126
  • ISSN: 0023-5954

How to cite

top

Datta, Kanti B.. "Hankel-matrix approach to invertibility of linear multivariable systems." Kybernetika 20.2 (1984): 107-126. <http://eudml.org/doc/27652>.

@article{Datta1984,
author = {Datta, Kanti B.},
journal = {Kybernetika},
keywords = {Hankel-matrix; minimal order inverses; stable minimal inverse},
language = {eng},
number = {2},
pages = {107-126},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Hankel-matrix approach to invertibility of linear multivariable systems},
url = {http://eudml.org/doc/27652},
volume = {20},
year = {1984},
}

TY - JOUR
AU - Datta, Kanti B.
TI - Hankel-matrix approach to invertibility of linear multivariable systems
JO - Kybernetika
PY - 1984
PB - Institute of Information Theory and Automation AS CR
VL - 20
IS - 2
SP - 107
EP - 126
LA - eng
KW - Hankel-matrix; minimal order inverses; stable minimal inverse
UR - http://eudml.org/doc/27652
ER -

References

top
  1. P. J. Antsaklis, Stable proper nth order inverses, IEEE Trans. Automat. Control AC-23 (1978), 1104-1106. (1978) Zbl0388.93023MR0529107
  2. V. T. Borukhov, Invertibility criteria for linear stationary multivariable systems, Avtomat. i Telemeh. (1978), 1, 5-11. (1978) Zbl0419.93039MR0536473
  3. R. W. Brockett, Poles, zeros and feedback: state-space interpretation, IEEE Trans. Automat. Control AC-10 (1965), 129-135. (1965) 
  4. R. W. Brockett, M. D. Mesarović, The reproducibility of multivariable systems, J. Math. Anal. Appl. 11 (1965), 548-563. (1965) MR0184743
  5. K. B. Datta, Irreducible realization in canonical forms, J. Franklin Inst. 303 (1977), 5, 437-452. (1977) Zbl0354.93015
  6. K. B. Datta, Minimal realization in companion forms, J. Franklin Institute 309 (1980), 2, 103-123. (1980) Zbl0449.93012MR0571799
  7. P. Dorato, On the inverse of linear dynamical systems, IEEE Trans. Systems Man Cybernet. SSC-5 (1969), 1, 43-48. (1969) Zbl0184.18402
  8. T. Downs E. Emre, O. Huseyin, Comments on "On the inversion of rational matrices", IEEE Trans. Circuits and Systems CAS-22 (1975), 4, 375-376. (1975) MR0389864
  9. E. Emre, O. Huseyin, Invertibility criteria for linear multivariable systems, IEEE Trans. Automat. Control AC-19 (1974), 3, 609-610. (1974) MR0434524
  10. G. D. Forney, Convolutional codes I: Algebraic structure, IEEE Trans. Inform. Theory IT-16 (1970), 6, 720-738. (1970) Zbl0205.20702MR0275988
  11. G. D. Forney, Minimal bases for rational vector spaces, with application to multivariable linear systems, SIAM J. Control 13 (1975), 3, 493-520. (1975) MR0378886
  12. M. L. J. Hautus, The formal Laplace transform for smooth linear systems, In: Mathematical Systems Theory - Proceedings of the International Symposium Udine, Italy, June 16 - 27, 1975 (G. Marcheseni, S. K. Mitter, eds.). (Lecture Notes in Economics and Mathematical Systems 131.) Springer-Verlag, Berlin-Heidelberg-New York 1976, pp. 29-47. (1975) MR0682787
  13. R. E. Kalman, On minimal partial realizations of a linear input/output map, In: Aspects of Network and System Theory, Holt, Rinehart and Winston 1971, pp. 385-407. (1971) 
  14. V. Kučera, On the minimal order inverses for linear time-invariant discrete systems, Preprint, JACC, paper no. 5-C 2, (1971), 312-318. (1971) 
  15. J. L. Massey, M. K. Sain, Inverses of linear sequential circuits, IEEE Trans. Comput. C-17 (1968), 330-337. (1968) Zbl0169.01501
  16. P. J. Moylan, Stable inversion of linear systems, IEEE Trans. Automat. Control AC-22 (1977), 1, 74-78. (1977) Zbl0346.93017MR0444161
  17. P. A. Orner, Construction of inverse systems, IEEE Trans. Automat. Control AC-17 (1972), 1, 151-153. (1972) MR0342222
  18. M. K. Sain, J. L. Massey, Invertibility of linear time-invariant dynamical systems, IEEE Trans. Automat. Control AC-14 (1969), 141-149. (1969) MR0246664
  19. L. M. Silverman, Inversion of multivariable linear systems, IEEE Trans. Automat. Control AC-14 (1969), 270-276. (1969) MR0267927
  20. L. M. Silverman, H. J. Payne, Input-output structure of linear systems with application to the decoupling problem, SIAM J. Control 9 (1971), 193-233. (1971) Zbl0242.93030MR0305869
  21. S. H. Wang, E. J. Davison, A minimization algorithm for the design of linear multi-variable systems, IEEE Trans. Automat. Control AC-18 (1973), 3, 220-225. (1973) MR0441434
  22. S. H. Wang, E. J. Davison, A new invertibility criteria for linear multivariable systems, IEEE Trans. Automat. Control AC-18 (1973), 538-539. (1973) MR0441437
  23. A. S. Willsky, On the invertibility of linear systems, IEEE Trans. Automat. Control AC-19 (1974), 3,272-274. (1974) Zbl0284.93008MR0429206
  24. B. F. Wyman, M. K. Sain, The zero module and essential inverse systems, IEEE Trans. Circuits and Systems CAS-28 (1981), 2, 112-126. (1981) Zbl0474.93023MR0600954
  25. Fu-Min Yuan, Minimal dimension inverses of linear sequential circuits, IEEE Trans. Automat. Control AC-20 (1975), 1, 42-52. (1975) MR0432332

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.