Assigning the invariant factors by feedback

Vladimír Kučera

Kybernetika (1981)

  • Volume: 17, Issue: 2, page 118-127
  • ISSN: 0023-5954

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Kučera, Vladimír. "Assigning the invariant factors by feedback." Kybernetika 17.2 (1981): 118-127. <http://eudml.org/doc/27921>.

@article{Kučera1981,
author = {Kučera, Vladimír},
journal = {Kybernetika},
keywords = {discrete-time system; reachable system; polynomial matrices; invariant factors},
language = {eng},
number = {2},
pages = {118-127},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Assigning the invariant factors by feedback},
url = {http://eudml.org/doc/27921},
volume = {17},
year = {1981},
}

TY - JOUR
AU - Kučera, Vladimír
TI - Assigning the invariant factors by feedback
JO - Kybernetika
PY - 1981
PB - Institute of Information Theory and Automation AS CR
VL - 17
IS - 2
SP - 118
EP - 127
LA - eng
KW - discrete-time system; reachable system; polynomial matrices; invariant factors
UR - http://eudml.org/doc/27921
ER -

References

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  1. P. Brunovský, A classification of linear controllable systems, Kybernetika 6 (1970), 3, 173-187. (1970) MR0284247
  2. B. W. Dickinson, On the fundamental theorem of linear state variable feedback, IEEE Trans. Autom. Control AC-19 (1974), 5, 577-579. (1974) Zbl0288.93024MR0439312
  3. D. S. Flamm, A new proof of Rosenbrock's theorem on pole assignment, IEEE Trans. Autom. Control AC-25 (1980), 6, 1128-1133. (1980) Zbl0471.93018MR0601494
  4. G. D. Forney, Minimal bases of rational vector spaces, with applications to multivariable linear systems, SIAM J. Control 13 (1975), 3, 493-520. (1975) Zbl0269.93011MR0378886
  5. R. E. Kalman, Kronecker invariants and feedback, In: Ordinary Differential Equations (L. Weiss, Ed.). Academic, New York 1972. (1972) Zbl0308.93008MR0421751
  6. R. E. Kalman P. L. Falb M. A. Arbib, Topics in Mathematical System Theory, McGraw-Hill, New York 1969. (1969) MR0255260
  7. V. Kučera, Discrete Linear Control - The Polynomial Equation Approach, Wiley, Chichester 1979. (1979) MR0573447
  8. C. C. MacDuffee, The Theory of Matrices, Chelsea, New York 1946. (1946) 
  9. S. K. Mitter R. Foulkes, Controllability and pole assignment for discrete time linear systems defined over arbitrary fields, SIAM J. Control 9 (1971), 1, 1-7. (1971) MR0290826
  10. H. H. Rosenbrock, State-space and Multivariable Theory, Wiley, New York 1970. (1970) Zbl0246.93010MR0325201
  11. M. K. Sain, A free-modular algorithm for minimal design of linear multivariable systems, In: Proc. 6th IFAC Congress, Boston 1975. (1975) 
  12. W. A. Wolovich, Linear Multivariable Systems, Springer, New York. 1974. (1974) Zbl0291.93002MR0359881

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