Title:
|
Non-commutative rings of fractions in algebraical approach to control theory (English) |
Author:
|
Ježek, Jan |
Language:
|
English |
Journal:
|
Kybernetika |
ISSN:
|
0023-5954 |
Volume:
|
32 |
Issue:
|
1 |
Year:
|
1996 |
Pages:
|
81-94 |
. |
Category:
|
math |
. |
MSC:
|
16S90 |
MSC:
|
16S99 |
MSC:
|
16U20 |
MSC:
|
93A99 |
MSC:
|
93B25 |
MSC:
|
93C05 |
idZBL:
|
Zbl 0874.16023 |
idMR:
|
MR1380199 |
. |
Date available:
|
2009-09-24T19:00:39Z |
Last updated:
|
2012-06-06 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125237 |
. |
Reference:
|
[1] N. Bourbaki: Théories spectrales.Hermann, Paris 1967. (Russian translation: Mir, Moscow 1972.) Zbl 0152.32603 |
Reference:
|
[2] W. Greub: Linear Algebra.Springer Verlag, New York 1975. Zbl 0317.15002, MR 0369382 |
Reference:
|
[3] N. Jacobson: Structure of Rings.American Mathematical Society, Providence, R.I. 1956. Zbl 0073.02002, MR 0081264 |
Reference:
|
[4] J. Ježek: An algebraic approach to the synthesis of control for linear discrete meromorphic systems.Kybernetika 25 (1989), 2, 73-85. MR 0995951 |
Reference:
|
[5] J. Ježek: Rings of skew polynomials for algebraical approach to control theory.Kybernetika 32 (1996), 1, 63-80. MR 1380198 |
Reference:
|
[6] O. Øre: Linear equations in non-commutative fields.Ann. of Math. 32 (1931), 463-477. MR 1503010 |
Reference:
|
[7] L. Pernebo: An algebraical theory for the design of controllers for linear multivariable systems, parts I, II.IEEE Trans. Automat. Control AC-26 (1981), 1, 171-194. MR 0609258 |
Reference:
|
[8] H. W. Raudenbush, Jr.: Differential fields and ideals of differential forms.Ann. of Math. 34 (1933), 509-517. Zbl 0007.15103, MR 1503120 |
Reference:
|
[9] R. Y. Sharp: Steps in Commutative Algebra.Cambridge University Press, Cambridge 1990. Zbl 0703.13001, MR 1070568 |
Reference:
|
[10] M. Vidyasagar: Control System Synthesis -- A Fractional Approach.MIT Press, Cambridge, MA 1987. MR 0787045 |
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