Title:
|
The discrete Riccati equation of optimal control (English) |
Title:
|
Diskrétní Riccatiho rovnice optimálního řízení (Czech) |
Author:
|
Kučera, Vladimír |
Language:
|
English |
Journal:
|
Kybernetika |
ISSN:
|
0023-5954 |
Volume:
|
8 |
Issue:
|
5 |
Year:
|
1972 |
Pages:
|
(430)-447 |
Summary lang:
|
Czech |
. |
Category:
|
math |
. |
MSC:
|
93C55 |
MSC:
|
93E15 |
MSC:
|
93E20 |
idZBL:
|
Zbl 0245.93033 |
idMR:
|
MR0332254 |
. |
Date available:
|
2009-09-24T16:28:02Z |
Last updated:
|
2012-06-04 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125696 |
. |
Reference:
|
[1] Birkhoff G., McLane S.: A Survey of Modern Algebra.McMillan, New Yoгk 1965. |
Reference:
|
[2] Hautus M. L. J.: Stabilization, Controllability and Observability of Linear Autonomous Systems.Nederl. Akad. Wetensch. Proc. Ser. A73 (1970), 448-455. Zbl 0212.47302, MR 0289170 |
Reference:
|
[3] Kučera V.: A Contribution to Matrix Quadratic Equations.IEEE Trans. on Automatic Contгol AC-17 (June 1972), 344-347. MR 0449830 |
Reference:
|
[4] Kučera V.: On Nonnegative Definite Solutions to Matrix Quadratic Equations.In: Proc. 5th IFAC World Congress, Vol. 4, Paris, 1972. Also to appear in Journal Automatica, July 1972. MR 0332827 |
Reference:
|
[5] Kučera V.: State Space Approach to Discrete Lineaг Control.Kybernetika 8 (1972), 3, 233-251. MR 0337399 |
Reference:
|
[6] Mårtensson K.: On the Matrix Riccati Equation.Infoгmation Sciences 3, (1971), 1, 17-49. MR 0280512 |
Reference:
|
[7] Potteг J. E.: Matrix Quadratic Solutions.SIAM J. on Appl. Math. 14 (1966), 3, 496-501. MR 0201457 |
Reference:
|
[8] Sage A. P.: Optimum Systems Control.Prentice-Hall, Englewood Cliffs, N. J. 1968. Zbl 0192.51502, MR 0255264 |
Reference:
|
[9] Wonham W. M.: On a Matrix Riccati Equation of Stochastic Control.SIAM J. on Control 6 (1968), 4, 681-698. MR 0239161 |
Reference:
|
[10] Zadeh L. A., Desoer C. A.: Linear System Theory: The state Space Appгoach.McGгaw-Hill, New York 1963. |
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