Title:
|
LQG problem of estimation and control in the tensor space. Evolution in the discrete finite time (English) |
Author:
|
Vaněček, Antonín |
Language:
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English |
Journal:
|
Kybernetika |
ISSN:
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0023-5954 |
Volume:
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11 |
Issue:
|
4 |
Year:
|
1975 |
Pages:
|
(287)-300 |
. |
Category:
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math |
. |
MSC:
|
62M10 |
MSC:
|
93B30 |
MSC:
|
93E10 |
idZBL:
|
Zbl 0315.93029 |
idMR:
|
MR0396018 |
. |
Date available:
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2009-09-24T16:46:42Z |
Last updated:
|
2012-06-05 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125029 |
. |
Reference:
|
[1] K. J. Åström R. W. Koepcke F. Tung: On the control of linear discrete dynamic systems with quadratic loss.Res. Rep. RJ-222, IBM, San Jose Res. Lab., San Jose, Calif., 1962. |
Reference:
|
[2] M. Athans (Ed.): Linear-quadratic-Gaussian problem in estimation and control.Dedicated to prof. R. E. Kalman. IEEE Trans. Aut. Contr. AC-16 (Dec. 1971), 6, 529-869. MR 0305883 |
Reference:
|
[3] R. Bellman: Dynamic programming.Princeton Univ. Press, Princeton 1957. Zbl 0995.90618, MR 0090477 |
Reference:
|
[4] N. Bourbaki: Algèbre.Livre II. Hermann, Paris 1948. Zbl 0039.25902 |
Reference:
|
[5] P. D. Joseph J. T. Tou: On linear control theory.AIEE Trans. (Appl. Indust.) 80 (Sept. 1961), 193-196. |
Reference:
|
[6] E. Hille R. S. Phillips: Functional analysis and semigroups.Amer. Math. Soc. Colloq. Publ. XXXI. Rev. ed., Providence 1957. MR 0089373 |
Reference:
|
[7] R. E. Kalman R. W. Koepcke: Optimal synthesis of linear sampling control system using generalized performance indexes.Trans. ASME 80 (Nov. 1958), 1820-1826. |
Reference:
|
[8] R. E. Kalman: A new approach to linear filtering and prediction problems.Trans. ASME, Ser. D, J. Bas. Eng. 83 (March 1960), 35-45. |
Reference:
|
[9] S. MacLane G. Birkhoff: Algebra.Macmillan, New York 1967. MR 0214415 |
Reference:
|
[10] D. G. Luenberger: Optimization by vector space methods.Wiley, New York 1969. Zbl 0176.12701, MR 0238472 |
Reference:
|
[11] V. Peterka: Mathematical models for digital control of multivariable technological processes.(In Czech.) Res. Rep. No. 540, ÚTIA ČSAV, Prague 1974. |
Reference:
|
[12] A. Vaněček: Coupled air/fuel dynamic optimization and temperature regulation. A case study in stochastic control.Preprints IFAC Symp. Stochastic Control, Budapest, Sept. 1974, 573-580. |
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