| Title:
|
Algorithms for solution of equations $PA+A^TP=-Q$ and $M^TPM-P=-Q$ resulting in Lyapunov stability analysis of linear systems (English) |
| Author:
|
Štecha, Jan |
| Author:
|
Kozáčiková, Alena |
| Author:
|
Kozáčik, Jaroslav |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
9 |
| Issue:
|
1 |
| Year:
|
1973 |
| Pages:
|
(62)-71 |
| . |
| Category:
|
math |
| . |
| MSC:
|
65H10 |
| MSC:
|
93C05 |
| MSC:
|
93D05 |
| idZBL:
|
Zbl 0274.93040 |
| idMR:
|
MR0327355 |
| . |
| Date available:
|
2009-09-24T16:30:34Z |
| Last updated:
|
2012-06-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124652 |
| . |
| Reference:
|
[1] Katsuhiko Ogata: State Space Analysis of Control Systems.Prentice Hall, London 1967 |
| Reference:
|
[2] Kotek Z., Štecha Jan: Teorie optimálního řízení.(Theory of Optimal Control). Lecture Notes. Praha 1971. |
| Reference:
|
[3] Kleinmann D. L.: On an Iterative Technique for Riccati Equation Computations.Trans. IEEE on Aut. Control AC-13 (Feb. 1968), 1, 114-115. |
| Reference:
|
[4] Chen C. F., Shieh L. S.: A Note on Expanding $PA + A^{T} P = - Q$.Trans IEEE on Aut. Control AC-13 (Feb. 1968), 1, 122-124. |
| Reference:
|
[5] Sarma I. G., Pai M. A.: A Note on the Lyapunov Matrix Equation for Linear Discrete System.Trans. IEEE on Aut. Control AC-13 (Feb. 1968), 1, 119-121. |
| Reference:
|
[6] Bellmann R.: Introduction to Matrix Analysis.McGraw-Hill, New York 1960. MR 0122820 |
| Reference:
|
[7] Dorato P., Lewis A. H.: Optimal Linear Regulators. The Discrete Time Case.Trans. IEEE on Aut. Control AC-16 (Dec. 1971), 6, 613-621. MR 0317816 |
| Reference:
|
[8] Fink M., Štecha J.: Linear Optimal Control System with Incomplete Information about State of System.Kybernetika 7 (1971), 6, 467-491. MR 0322633 |
| . |
