| 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 | 
| . |