Linear quadratic control. State space vs. polynomial equations

Vladimír Kučera

Kybernetika (1983)

  • Volume: 19, Issue: 3, page 185-195
  • ISSN: 0023-5954

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Kučera, Vladimír. "Linear quadratic control. State space vs. polynomial equations." Kybernetika 19.3 (1983): 185-195. <http://eudml.org/doc/28067>.

@article{Kučera1983,
author = {Kučera, Vladimír},
journal = {Kybernetika},
keywords = {linear quadratic control problems; polynomial equations},
language = {eng},
number = {3},
pages = {185-195},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Linear quadratic control. State space vs. polynomial equations},
url = {http://eudml.org/doc/28067},
volume = {19},
year = {1983},
}

TY - JOUR
AU - Kučera, Vladimír
TI - Linear quadratic control. State space vs. polynomial equations
JO - Kybernetika
PY - 1983
PB - Institute of Information Theory and Automation AS CR
VL - 19
IS - 3
SP - 185
EP - 195
LA - eng
KW - linear quadratic control problems; polynomial equations
UR - http://eudml.org/doc/28067
ER -

References

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  1. B. D. O Anderson, J. B. Moore, Linear Optimal Control, Prentice-Hall, New York 1971. (1971) Zbl0321.49001MR0335000
  2. K. J. Åström, Introduction to Stochastic Control Theory, Academic, New York 1970. (1970) MR0270799
  3. K. J. Åström, Algebraic system theory as a tool for regulator design, Report CODEN: LUTFD2/(TFRT-7164)/I-023/(1979), Lund Institute of Technology, Lund 1979. (1979) MR0557694
  4. W. A. Blankinship, A new version of the Euclidean algorithm, Amer. Math. Monthly 70 (1963), 742-745. (1963) Zbl0116.26801MR1532251
  5. R. W. Brockett, Finite Dimensional Linear Systems, Wiley, New York 1970. (1970) Zbl0216.27401
  6. L. P. Chkhartishvili, Synthesis of control systems minimizing the rms error, (in Russian). Izv. Akad. Nauk SSSR Tekhn. Kibernet. 1 (1964), 143-153. (1964) 
  7. J. Ježek, New algorithm for minimal solution of linear polynomial equations, Kybernetika 18 (1982), 6, 505-516. (1982) MR0707398
  8. T. Kailath, Linear Systems, Prentice-Hall, Englewood Cliffs 1980. (1980) Zbl0454.93001MR0569473
  9. R. E. Kalman, When is a linear control system optimal?, Trans. ASME Ser. D 86 (1964), 51. (1964) 
  10. V. Kučera, Algebraic theory of discrete optimal control for single-variable systems, Kybernetika 9 (1973), 94-107, 206-221 and 291-312. (1973) 
  11. V. Kučera, Algebraic approach to discrete linear control, IEEE Trans. Automat. Control AC-20 (1975), 116-120. (1975) MR0432284
  12. V. Kučera, Design of steady-state minimum variance controllers, Automatica 15 (1979), 411-418. (1979) MR0544023
  13. V. Kučera, Discrete Linear Control: The Polynomial Equation Approach, Wiley, New York and Academia, Prague 1979. (1979) MR0573447
  14. V. Kučera, New results in state estimation and regulation, Automatica 17 (1981), 745 - 748. (1981) MR0632848
  15. A. G. J. MacFarlane, Return-difference matrix properties for optimal stationary Kalman-Bucy filter, Proc. IEE 118 (1971), 373-376. (1971) MR0325277
  16. V. Peterka, On steady state minimum variance control strategy, Kybernetika 8 (1972), 219-232. (1972) Zbl0256.93070MR0453173
  17. U. Shaked, A general transfer function approach to linear stationary filtering and steady-state optimal control problems, Internal. J. Control 24 (1976), 741 - 770. (1976) Zbl0342.93060MR0465448
  18. U. Shaked, A general transfer function approach to the steady-state linear quadratic Gaussian stochastic control problem, Internat. J. Control 24 (1976), 771 - 800. (1976) Zbl0342.93061MR0456878
  19. L. N. Volgin, The Fundamentals of the Theory of Controllers, (in Russian). Soviet Radio, Moscow 1962. (1962) 
  20. Z. Vostrý, New algorithm for polynomial spectral factorization with quadratic convergence, Kybernetika 11 (1975), 415-422 and Kybernetika 12 (1976), 248-259. (1975) 
  21. W. A. Wolovich, Linear Multivariable Systems, Springer-Verlag, Berlin-Heidelberg-New York 1974. (1974) Zbl0291.93002MR0359881

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