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LQG problem of estimation and control in the tensor space. Evolution in the discrete finite time
Kybernetika, Tome 11 (1975) no. 4, pp. 287-300 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 62M10, 93B30, 93E10 
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Vaněček, Antonín. LQG problem of estimation and control in the tensor space. Evolution in the discrete finite time. Kybernetika, Tome 11 (1975) no. 4, pp. 287-300. http://geodesic.mathdoc.fr/item/KYB_1975_11_4_a3/

[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.

[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

[3] R. Bellman: Dynamic programming. Princeton Univ. Press, Princeton 1957. | MR | Zbl

[4] N. Bourbaki: Algèbre. Livre II. Hermann, Paris 1948. | Zbl

[5] P. D. Joseph J. T. Tou: On linear control theory. AIEE Trans. (Appl. Indust.) 80 (Sept. 1961), 193-196.

[6] E. Hille R. S. Phillips: Functional analysis and semigroups. Amer. Math. Soc. Colloq. Publ. XXXI. Rev. ed., Providence 1957. | MR

[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.

[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.

[9] S. MacLane G. Birkhoff: Algebra. Macmillan, New York 1967. | MR

[10] D. G. Luenberger: Optimization by vector space methods. Wiley, New York 1969. | MR | Zbl

[11] V. Peterka: Mathematical models for digital control of multivariable technological processes. (In Czech.) Res. Rep. No. 540, ÚTIA ČSAV, Prague 1974.

[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.