One possibility of multidimensional control system design

Vladimír Strejc

Kybernetika (1989)

  • Volume: 25, Issue: 6, page 509-522
  • ISSN: 0023-5954

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Strejc, Vladimír. "One possibility of multidimensional control system design." Kybernetika 25.6 (1989): 509-522. <http://eudml.org/doc/27820>.

@article{Strejc1989,
author = {Strejc, Vladimír},
journal = {Kybernetika},
keywords = {Riccati equations},
language = {eng},
number = {6},
pages = {509-522},
publisher = {Institute of Information Theory and Automation AS CR},
title = {One possibility of multidimensional control system design},
url = {http://eudml.org/doc/27820},
volume = {25},
year = {1989},
}

TY - JOUR
AU - Strejc, Vladimír
TI - One possibility of multidimensional control system design
JO - Kybernetika
PY - 1989
PB - Institute of Information Theory and Automation AS CR
VL - 25
IS - 6
SP - 509
EP - 522
LA - eng
KW - Riccati equations
UR - http://eudml.org/doc/27820
ER -

References

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  1. W. F. Arnold, A. J. Laub, Generalized eigenproblem algorithm and software for algebraic Riccati equations, Proc. IEEE 72 (1984), 12, 1746-1754. (1984) 
  2. J. G. F. Francis, The QR transformation, Parts I and II, Comput. J. 4 (1961-1962), 265-271 and 332-345. (1961) 
  3. B. S. Garbov, al., Matrix Eigensystem Routines -- EISPACK Guide Extension, (Lecture Notes in Computer Science 5.) Springer-Verlag, Berlin--Heidelberg--New York 1977. (1977) MR0494880
  4. V. Kučera, The discrete Riccati equation of optimal control, Kybernetika 8 (1972), 5, 430-447. (1972) MR0332254
  5. A. J. Laub, A Schur method for solving algebraic Riccati equations, IEEE Trans. Automat. Control AC-24 (1979), 6, 913-921. (1979) Zbl0427.65027MR0566449
  6. A. J. Laub, Numerical linear algebra aspects of control design computations, IEEE Trans. Automat. Control AC-30 (1985), 2, 97-108. (1985) Zbl0551.93025MR0778629
  7. T. Pappas A. J. Laub, N. R. Sandell, On the numerical solution of the discrete-time algebraic Riccati equation, IEEE Trans. Automat. Control AC-25 (1980), 4, 631-641. (1980) MR0583440
  8. B. N. Parlett, C. Reinsch, Balancing a matrix for calculation of eigenvalues and eigenvectors, Numer. Math. 13 (1969), 293-304. (1969) Zbl0184.37703MR1553969
  9. J. E. Potter, Matrix quadratic solutions, SIAM J. Appl. Math. 14 (1966), 3, 496-501. (1966) Zbl0144.02001MR0201457
  10. B. T. Smith, al., Matrix Eigensystem Routines -- EISPACK Guide, (Lecture Notes in Computer Science 6.) Springer-Verlag, Berlin--Heidelberg--New York 1976. (1976) Zbl0325.65016MR0494879
  11. G. W. Stewart, Introduction to Matrix Computations, Academic Press, New York 1976. (1976) MR0458818
  12. V. Strejc, Discrete version of model-in-the-system control, Problems Control Inform. Theory 17 (1988), 2, 71-76. (1988) Zbl0648.93018MR0940876
  13. V. Strejc, State Space Theory of Discrete Linear Control, John Wiley and Sons, Chichester 1981. (1981) Zbl0567.93051MR0636648
  14. D. R. Vaugham, A nonrecursive algebraic solution for the discrete Riccati equation, IEEE Trans. Automat. Control AC-15 (1970), 597-599. (1970) 

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