A polynomial solution to regulation and tracking. I. Deterministic problem

Vladimír Kučera; Michael Šebek

Kybernetika (1984)

  • Volume: 20, Issue: 3, page 177-188
  • ISSN: 0023-5954

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Kučera, Vladimír, and Šebek, Michael. "A polynomial solution to regulation and tracking. I. Deterministic problem." Kybernetika 20.3 (1984): 177-188. <http://eudml.org/doc/28734>.

@article{Kučera1984,
author = {Kučera, Vladimír, Šebek, Michael},
journal = {Kybernetika},
keywords = {discrete-time linear-quadratic regulation; tracking; external polynomial models; spectral factorization},
language = {eng},
number = {3},
pages = {177-188},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A polynomial solution to regulation and tracking. I. Deterministic problem},
url = {http://eudml.org/doc/28734},
volume = {20},
year = {1984},
}

TY - JOUR
AU - Kučera, Vladimír
AU - Šebek, Michael
TI - A polynomial solution to regulation and tracking. I. Deterministic problem
JO - Kybernetika
PY - 1984
PB - Institute of Information Theory and Automation AS CR
VL - 20
IS - 3
SP - 177
EP - 188
LA - eng
KW - discrete-time linear-quadratic regulation; tracking; external polynomial models; spectral factorization
UR - http://eudml.org/doc/28734
ER -

References

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  1. K. J. Åström, Introduction to Stochastic Control Theory, Academic Press, New York 1970. (1970) MR0270799
  2. T. Kailath, Linear Systems, Prentice-Hall, Englewood Cliffs 1980. (1980) Zbl0454.93001MR0569473
  3. V. Kučera, State space approach to discrete linear control, Kybernetika 8 (1972), 233 - 251. (1972) MR0337399
  4. V. Kučera, Algebraic Theory of Discrete Linear Control, (in Czech). Academia, Praha 1978. (1978) 
  5. V. Kučera, Discrete Linear Control - The Polynomial Equation Approach, Wiley, Chichester 1979. (1979) MR0573447
  6. V. Kučera, Discrete stochastic regulation and tracking, Kybernetika 16 (1980), 263 - 272. (1980) 
  7. V. Kučera, Linear quadratic control - State space vs. polynomial equations, Kybernetika 19 (1983), 185-195. (1983) MR0716648
  8. V. Peterka, On steady state minimum variance control strategy, Kybernetika 8 (1972), 219-232. (1972) Zbl0256.93070MR0453173
  9. V. Peterka, Predictor-based self-tuning control, Automatica 20 (1984), 39-50. (1984) Zbl0539.93054MR0795377
  10. M. Šebek, Optimal tracking via polynomial matrix equations, Internat. J. Systems Sci. 12 (1981), 357-369. (1981) MR0610915
  11. M. Šebek, Polynomial design of stochastic tracking systems, IEEE Trans. Automat. Control AC-27 (1982), 468-470. (1982) MR0680118
  12. M. Šebek, V. Kučera, Polynomial approach to quadratic tracking in discrete linear systems, IEEE Trans. Automat. Control AC-27 (1982), 1248-1250. (1982) MR0686385
  13. L. N. Volgin, The Fundamentals of the Theory of Controlling Machines, (in Russian). Soviet Radio, Moscow 1962. (1962) 
  14. W. A. Wolovich, Linear Multivariable Systems, Springer-Verlag, New York 1974. (1974) Zbl0291.93002MR0359881

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