Optimal control of a linear discrete system
Kybernetika, Tome 9 (1973) no. 5, pp. 374-388 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 49L99, 93C05, 93C55, 93E10
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     author = {\v{S}techa, Jan and Koz\'a\v{c}ikov\'a, Alena and Koz\'a\v{c}ik, Jaroslav and Lidick\'y, Ji\v{r}{\'\i}},
     title = {Optimal control of a linear discrete system},
     journal = {Kybernetika},
     pages = {374--388},
     year = {1973},
     volume = {9},
     number = {5},
     mrnumber = {0325213},
     zbl = {0288.49019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1973_9_5_a4/}
}
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Štecha, Jan; Kozáčiková, Alena; Kozáčik, Jaroslav; Lidický, Jiří. Optimal control of a linear discrete system. Kybernetika, Tome 9 (1973) no. 5, pp. 374-388. http://geodesic.mathdoc.fr/item/KYB_1973_9_5_a4/

[1] Athans M., Falb L. P.: Optimal control. McGraw Hill, N. York 1966. | Zbl

[2] Kalman R. E., Falb P. L., Arbib M. A.: Topics in mathematical system theory. McGraw Hill, N. York 1969. | MR | Zbl

[3] Desoer Ch. A., Zadeh L. A.: Linear system theory. McGraw Hill, N. York 1963. | Zbl

[4] Athans M., Levine W.: On the design of linear system using only output variable feedback. In: Proc. 6th Allerton Conf. Circuit and system theory 1969, 661-670. | MR

[5] Athans M., Johnson T.: On the determination of the optimal constrained dynamic compensator for linear constant system. IEEE Tran. on Automatic Control AC-15 (1970), 6, 658-660.

[6] Mitter S. K., Foulkes R.: Controllability and pole assigment for discrete time linear systems defined over arbitrary fields. SIAM Journal of control 9 (1971), 1, 1-8. | MR

[7] Tse Edison: Optimal minimal order observer estimators for discrete linear time varying systems. IEEE Tran. on Automatic Control AC-15 (1970), 4, 416-426. | MR

[8] Dorato P., Levis A. H.: Optimal linear regulator: The discrete time case. IEEE Tran. on Automatic Control AC-16 (1971), 6, 613-620. | MR

[9] Kozáčiková A.: Algorithms for solution of linear discrete systems with incomplete information about the state of the system. Thesis, ČVUT, Praha 1972.

[10] Hewer G. A.: An iterative technique for the computation of the steady-state gains for the discrete optimal regulator. IEEE Tran. on Automatic Control AC-16 (1971), 4, 382-383.

[11] Štecha J., Kozáčiková A., Kozáčik J.: Solution of matrix equations $PA + A^{T} P = -Q$ and $M^{T}PM - P = -Q$ resulting in Lyapunov stability analysis. Kybernetika 9 (1973), 1, 62-71. | MR

[12] Kozáčik J.: Algorithms for solution of linear continuous systems with incomplete information about the state of the system. Thesis, ČVUT, Praha 1972.

[13] Fink M., Štecha J.: Synthesis of linear dynamic systems with incomplete information about the state. Kybernetika 7 (1971), 6, 467-491. | MR

[14] Bjerhmmar A.: A generalized matrix algebra. Bulletin No. 9 from the Division of geodesy, Stockholm 1958.

[15] Понтрягин B. C.: Математическая теория оптимальных процессов. Физматизд, Москва 1961. | Zbl

[16] Athans M., Levine W. S.: On the determination of the optimal constant output feedback gains for linear multivariate systems. IEEE Tran. on Automatic Control AC-15 (1970), 1, 44-48. | MR

[17] Athans M.: The matrix minimum principle. Information and Control 11 (1967), 6, 592-606. | MR | Zbl

[18] Athans M., Levine W. S., Johnson T.: Optimal limited state variable feedback controlers for linear systems. IEEE Tran. on Automatic Control AC-16 (1971), 6, 785-793.

[19] Bellman R.: Dynamic programming. Princeton University Press, Princeton 1957. | MR | Zbl

[20] Liang-Tseng Fan, Chin-Sen Wang: The discrete maximum principle. John Wiley, N. York 1964. | MR

[21] Lidický J.: Optimal discrete control of linear continuous systems. Thesis, ČVUT, Praha 1971.