| Title:
|
Optimal control of a linear discrete system (English) |
| Author:
|
Štecha, Jan |
| Author:
|
Kozáčiková, Alena |
| Author:
|
Kozáčik, Jaroslav |
| Author:
|
Lidický, Jiří |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
9 |
| Issue:
|
5 |
| Year:
|
1973 |
| Pages:
|
(374)-388 |
| . |
| Category:
|
math |
| . |
| MSC:
|
49L99 |
| MSC:
|
93C05 |
| MSC:
|
93C55 |
| MSC:
|
93E10 |
| idZBL:
|
Zbl 0288.49019 |
| idMR:
|
MR0325213 |
| . |
| Date available:
|
2009-09-24T16:35:13Z |
| Last updated:
|
2012-06-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124740 |
| . |
| Reference:
|
[1] Athans M., Falb L. P.: Optimal control.McGraw Hill, N. York 1966. Zbl 0196.46303 |
| Reference:
|
[2] Kalman R. E., Falb P. L., Arbib M. A.: Topics in mathematical system theory.McGraw Hill, N. York 1969. Zbl 0231.49001, MR 0255260 |
| Reference:
|
[3] Desoer Ch. A., Zadeh L. A.: Linear system theory.McGraw Hill, N. York 1963. Zbl 1145.93303 |
| Reference:
|
[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 0263496 |
| Reference:
|
[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. |
| Reference:
|
[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 0290826 |
| Reference:
|
[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 0287934 |
| Reference:
|
[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 0317816 |
| Reference:
|
[9] Kozáčiková A.: Algorithms for solution of linear discrete systems with incomplete information about the state of the system.Thesis, ČVUT, Praha 1972. |
| Reference:
|
[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. |
| Reference:
|
[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 0327355 |
| Reference:
|
[12] Kozáčik J.: Algorithms for solution of linear continuous systems with incomplete information about the state of the system.Thesis, ČVUT, Praha 1972. |
| Reference:
|
[13] Fink M., Štecha J.: Synthesis of linear dynamic systems with incomplete information about the state.Kybernetika 7 (1971), 6, 467-491. MR 0322633 |
| Reference:
|
[14] Bjerhmmar A.: A generalized matrix algebra.Bulletin No. 9 from the Division of geodesy, Stockholm 1958. |
| Reference:
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[15] Понтрягин B. C.: Математическая теория оптимальных процессов.Физматизд, Москва 1961. Zbl 1160.68305 |
| Reference:
|
[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 0274138 |
| Reference:
|
[17] Athans M.: The matrix minimum principle.Information and Control 11 (1967), 6, 592-606. Zbl 0176.07301, MR 0228275 |
| Reference:
|
[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. |
| Reference:
|
[19] Bellman R.: Dynamic programming.Princeton University Press, Princeton 1957. Zbl 0995.90618, MR 0090477 |
| Reference:
|
[20] Liang-Tseng Fan, Chin-Sen Wang: The discrete maximum principle.John Wiley, N. York 1964. MR 0195614 |
| Reference:
|
[21] Lidický J.: Optimal discrete control of linear continuous systems.Thesis, ČVUT, Praha 1971. |
| . |
