| Title:
|
Linear quadratic control. State space vs. polynomial equations (English) |
| Author:
|
Kučera, Vladimír |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
19 |
| Issue:
|
3 |
| Year:
|
1983 |
| Pages:
|
185-195 |
| . |
| Category:
|
math |
| . |
| MSC:
|
12E12 |
| MSC:
|
93B25 |
| MSC:
|
93B50 |
| MSC:
|
93C05 |
| MSC:
|
93E10 |
| MSC:
|
93E20 |
| idZBL:
|
Zbl 0549.93030 |
| idMR:
|
MR716648 |
| . |
| Date available:
|
2009-09-24T17:33:58Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124912 |
| . |
| Reference:
|
[1] B. D. O Anderson, J. B. Moore: Linear Optimal Control.Prentice-Hall, New York 1971. Zbl 0321.49001, MR 0335000 |
| Reference:
|
[2] K. J. Åström: Introduction to Stochastic Control Theory.Academic, New York 1970. MR 0270799 |
| Reference:
|
[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 0557694 |
| Reference:
|
[4] W. A. Blankinship: A new version of the Euclidean algorithm.Amer. Math. Monthly 70 (1963), 742-745. Zbl 0116.26801, MR 1532251 |
| Reference:
|
[5] R. W. Brockett: Finite Dimensional Linear Systems.Wiley, New York 1970. Zbl 0216.27401 |
| Reference:
|
[6] L. P. Chkhartishvili: Synthesis of control systems minimizing the rms error.(in Russian). Izv. Akad. Nauk SSSR Tekhn. Kibernet. 1 (1964), 143-153. |
| Reference:
|
[7] J. Ježek: New algorithm for minimal solution of linear polynomial equations.Kybernetika 18 (1982), 6, 505-516. MR 0707398 |
| Reference:
|
[8] T. Kailath: Linear Systems.Prentice-Hall, Englewood Cliffs 1980. Zbl 0454.93001, MR 0569473 |
| Reference:
|
[9] R. E. Kalman: When is a linear control system optimal?.Trans. ASME Ser. D 86 (1964), 51. |
| Reference:
|
[10] V. Kučera: Algebraic theory of discrete optimal control for single-variable systems.Kybernetika 9 (1973), 94-107, 206-221 and 291-312. |
| Reference:
|
[11] V. Kučera: Algebraic approach to discrete linear control.IEEE Trans. Automat. Control AC-20 (1975), 116-120. MR 0432284 |
| Reference:
|
[12] V. Kučera: Design of steady-state minimum variance controllers.Automatica 15 (1979), 411-418. MR 0544023 |
| Reference:
|
[13] V. Kučera: Discrete Linear Control: The Polynomial Equation Approach.Wiley, New York and Academia, Prague 1979. MR 0573447 |
| Reference:
|
[14] V. Kučera: New results in state estimation and regulation.Automatica 17 (1981), 745 - 748. MR 0632848 |
| Reference:
|
[15] A. G. J. MacFarlane: Return-difference matrix properties for optimal stationary Kalman-Bucy filter.Proc. IEE 118 (1971), 373-376. MR 0325277 |
| Reference:
|
[16] V. Peterka: On steady state minimum variance control strategy.Kybernetika 8 (1972), 219-232. Zbl 0256.93070, MR 0453173 |
| Reference:
|
[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. Zbl 0342.93060, MR 0465448 |
| Reference:
|
[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. Zbl 0342.93061, MR 0456878 |
| Reference:
|
[19] L. N. Volgin: The Fundamentals of the Theory of Controllers.(in Russian). Soviet Radio, Moscow 1962. |
| Reference:
|
[20] Z. Vostrý: New algorithm for polynomial spectral factorization with quadratic convergence.Kybernetika 11 (1975), 415-422 and Kybernetika 12 (1976), 248-259. |
| Reference:
|
[21] W. A. Wolovich: Linear Multivariable Systems.Springer-Verlag, Berlin-Heidelberg-New York 1974. Zbl 0291.93002, MR 0359881 |
| . |
