| Title:
|
Algebraic approach to discrete stochastic control (English) |
| Author:
|
Kučera, Vladimír |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
11 |
| Issue:
|
2 |
| Year:
|
1975 |
| Pages:
|
(114)-147 |
| . |
| Category:
|
math |
| . |
| MSC:
|
93C55 |
| MSC:
|
93E10 |
| idZBL:
|
Zbl 0306.93027 |
| . |
| Date available:
|
2009-09-24T16:44:56Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124410 |
| . |
| Reference:
|
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| Reference:
|
[2] Chang S. S. L.: Synthesis of Optimum Control Systems.McGraw-Hill, New York 1961. |
| Reference:
|
[3] Doob J. L.: Stochastic Processes.Wiley, New York 1955. MR 1038526 |
| Reference:
|
[4] Гантмахер Ф. Р.: Теория матриц.Гостехиздат, Москва 1953. Zbl 1151.94459 |
| Reference:
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| Reference:
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| Reference:
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[7] Halousková A.: Syntéza mnohaparametrových lineárních diskrétních regulačních obvodů podle kvadratických kritérií.Rept. No. 174, ČSAV ÚTIA, Prague 1966. |
| Reference:
|
[8] Jazwinski A. H.: Stochastic Processes and Filtering Theory.Academic Press, New York 1970. Zbl 0203.50101 |
| Reference:
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[9] Kalman R. E., Falb P. L., Arbib M. A.: Topics in Mathematical System Theory.McGraw-Hill, New York 1969. Zbl 0231.49001, MR 0255260 |
| Reference:
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[10] Kalman R. E., Koepcke R. W.: Optimal synthesis of linear sampling control systems using generalized performance indexes.Trans. ASME, J. Basic Eng. 80D (1958), 1812-1817. |
| Reference:
|
[11] Kalman R. E.: A new approach to linear filtering and prediction problems.Trans. ASME, J. Basic Eng. 82D (1960), 35-45. |
| Reference:
|
[12] Kučera V.: Algebraic theory of discrete optimal control for single-variable systems I - Preliminaries.Kybernetika 9 (1973), 1, 94-107. MR 0337400 |
| Reference:
|
[13] Kučera V.: Algebraic theory of discrete optimal control for single-variable systems II - Open-loop control.Kybernetika 9 (1973), 3, 206-221. MR 0337401 |
| Reference:
|
[14] Kučera V.: Algebraic theory of discrete optimal control for single-variable systems III - Closed-loop control.Kybernetika 9 (1973), 4, 291-312. MR 0337402 |
| Reference:
|
[15] Kučera V.: Closed-loop stability of discrete linear single-variable systems.Kybernetika 10 (1974), 2, 162-184. MR 0343976 |
| Reference:
|
[16] Kučera V.: Constrained optimal control - The algebraic approach.Kybernetika 10 (1974), 4, 317-349. MR 0395979 |
| Reference:
|
[17] Kučera V.: Algebraic approach to discrete linear control.IEEE Trans. Automatic Control. AC-20 (1975), 1, 116-120. MR 0432284 |
| Reference:
|
[18] Kučera V.: Algebraic theory of discrete optimal control for multivariable systems.Supplement of Kybernetika, Academia, Prague 1974-1975. MR 0527882 |
| Reference:
|
[19] Kučera V.: The discrete Riccati equation of optimal control.Kybernetika 8 (1972), 5, 430-447. MR 0332254 |
| Reference:
|
[20] Kučera V.: A contribution to matrix quadratic equations.IEEE Trans. Automatic Control AC-17 (1972), 3, 344-347. MR 0449830 |
| Reference:
|
[21] Kučera V.: On nonnegative definitive solutions to matrix quadratic equations.Proc. 5th IFAC Congress, Paris 1972. MR 0332827 |
| Reference:
|
[22] Kučera V.: On nonnegative definite solutions to matrix quadratic equations.Automatica 8 (1972), 4, 413-423. MR 0332827 |
| Reference:
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[23] Lang S.: Algebra.Addision-Wesley, Reading, Mass. 1961. |
| Reference:
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[24] Laning J. H., Battin R. H.: Random Processes in Automatic Control.McGraw-Hill, New York 1956. MR 0079362 |
| Reference:
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[25] Levin B. R.: Teorie náhodných procesů a její aplikace v radiotechnice.SNTL, Prague 1965. |
| Reference:
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[27] Peterka V.: On steady-state minimum variance control strategy.Kybernetika 5 (1972), 3, 219-232. Zbl 0256.93070, MR 0453173 |
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| . |
