Matrix equations arising in regulator problems

Michael Šebek; Vladimír Kučera

Kybernetika (1981)

  • Volume: 17, Issue: 2, page 128-139
  • ISSN: 0023-5954

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Šebek, Michael, and Kučera, Vladimír. "Matrix equations arising in regulator problems." Kybernetika 17.2 (1981): 128-139. <http://eudml.org/doc/27917>.

@article{Šebek1981,
author = {Šebek, Michael, Kučera, Vladimír},
journal = {Kybernetika},
keywords = {coupled matrix polynomial equations; linear regulator problem; solvability of the equations; optimal solution to the equations},
language = {eng},
number = {2},
pages = {128-139},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Matrix equations arising in regulator problems},
url = {http://eudml.org/doc/27917},
volume = {17},
year = {1981},
}

TY - JOUR
AU - Šebek, Michael
AU - Kučera, Vladimír
TI - Matrix equations arising in regulator problems
JO - Kybernetika
PY - 1981
PB - Institute of Information Theory and Automation AS CR
VL - 17
IS - 2
SP - 128
EP - 139
LA - eng
KW - coupled matrix polynomial equations; linear regulator problem; solvability of the equations; optimal solution to the equations
UR - http://eudml.org/doc/27917
ER -

References

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  1. S. Barnett, Matrices in Control Theory, Van Nostrand Reinhold, London 1971. (1971) Zbl0245.93002MR0364275
  2. F. R. Gantmakher, The Theory of Matrices, Chelsea, New York 1959. (1959) 
  3. V. Kučera, Algebraic theory of discrete optimal control for multivariable systems, Kybernetika 10-12 (1974-76), 1-240. Published in installments. (1974) MR0527882
  4. V. Kučera, Algebraická teorie diskrétního lineárního řízení, Academia, Praha 1978. (1978) 
  5. V. Kučera, Discrete Linear Control - The Polynomial Equation Approach, Wiley, Chichester 1979. (1979) MR0573447
  6. V. Kučera, Steady-state minimum-variance discrete control, Problems of Control and Information Theory 8 (1979), 2, 123-135. (1979) MR0533927
  7. V. Kučera M. Šebek, Linear optimal dynamic regulators, Problems of Control and Information Theory 70 (1981), 3. (1981) MR0624377
  8. C. C. MacDuffee, The Theory of Matrices, Chelsea, New York 1946. (1946) 
  9. M. Newman, Integral Matrices, Academic, New York 1972. (1972) Zbl0254.15009MR0340283
  10. W. E. Roth, The equation AX - YB = C and AX - XB = C in matrices, Proc. Amer. Math. Soc. 3 (1952), 392-396. (1952) MR0047598

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