Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
Kučera, Vladimír. Linear quadratic control. State space vs. polynomial equations. Kybernetika, Tome 19 (1983) no. 3, pp. 185-195. http://geodesic.mathdoc.fr/item/KYB_1983_19_3_a0/
@article{KYB_1983_19_3_a0,
author = {Ku\v{c}era, Vladim{\'\i}r},
title = {Linear quadratic control. {State} space vs. polynomial equations},
journal = {Kybernetika},
pages = {185--195},
year = {1983},
volume = {19},
number = {3},
mrnumber = {716648},
zbl = {0549.93030},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KYB_1983_19_3_a0/}
}
[1] B. D. O Anderson, J. B. Moore: Linear Optimal Control. Prentice-Hall, New York 1971. | MR | Zbl
[2] K. J. Åström: Introduction to Stochastic Control Theory. Academic, New York 1970. | MR
[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. | MR
[4] W. A. Blankinship: A new version of the Euclidean algorithm. Amer. Math. Monthly 70 (1963), 742-745. | MR | Zbl
[5] R. W. Brockett: Finite Dimensional Linear Systems. Wiley, New York 1970. | Zbl
[6] L. P. Chkhartishvili: Synthesis of control systems minimizing the rms error. (in Russian). Izv. Akad. Nauk SSSR Tekhn. Kibernet. 1 (1964), 143-153.
[7] J. Ježek: New algorithm for minimal solution of linear polynomial equations. Kybernetika 18 (1982), 6, 505-516. | MR
[8] T. Kailath: Linear Systems. Prentice-Hall, Englewood Cliffs 1980. | MR | Zbl
[9] R. E. Kalman: When is a linear control system optimal?. Trans. ASME Ser. D 86 (1964), 51.
[10] V. Kučera: Algebraic theory of discrete optimal control for single-variable systems. Kybernetika 9 (1973), 94-107, 206-221 and 291-312.
[11] V. Kučera: Algebraic approach to discrete linear control. IEEE Trans. Automat. Control AC-20 (1975), 116-120. | MR
[12] V. Kučera: Design of steady-state minimum variance controllers. Automatica 15 (1979), 411-418. | MR
[13] V. Kučera: Discrete Linear Control: The Polynomial Equation Approach. Wiley, New York and Academia, Prague 1979. | MR
[14] V. Kučera: New results in state estimation and regulation. Automatica 17 (1981), 745 - 748. | MR
[15] A. G. J. MacFarlane: Return-difference matrix properties for optimal stationary Kalman-Bucy filter. Proc. IEE 118 (1971), 373-376. | MR
[16] V. Peterka: On steady state minimum variance control strategy. Kybernetika 8 (1972), 219-232. | MR | Zbl
[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. | MR | Zbl
[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. | MR | Zbl
[19] L. N. Volgin: The Fundamentals of the Theory of Controllers. (in Russian). Soviet Radio, Moscow 1962.
[20] Z. Vostrý: New algorithm for polynomial spectral factorization with quadratic convergence. Kybernetika 11 (1975), 415-422 and Kybernetika 12 (1976), 248-259.
[21] W. A. Wolovich: Linear Multivariable Systems. Springer-Verlag, Berlin-Heidelberg-New York 1974. | MR | Zbl