Non-commutative rings of fractions in algebraical approach to control theory
Kybernetika (1996)
- Volume: 32, Issue: 1, page 81-94
- ISSN: 0023-5954
Access Full Article
top
How to cite
topJežek, Jan. "Non-commutative rings of fractions in algebraical approach to control theory." Kybernetika 32.1 (1996): 81-94. <http://eudml.org/doc/28392>.
@article{Ježek1996,
author = {Ježek, Jan},
journal = {Kybernetika},
keywords = {ring of fractions; control theory; right fractions},
language = {eng},
number = {1},
pages = {81-94},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Non-commutative rings of fractions in algebraical approach to control theory},
url = {http://eudml.org/doc/28392},
volume = {32},
year = {1996},
}
TY - JOUR
AU - Ježek, Jan
TI - Non-commutative rings of fractions in algebraical approach to control theory
JO - Kybernetika
PY - 1996
PB - Institute of Information Theory and Automation AS CR
VL - 32
IS - 1
SP - 81
EP - 94
LA - eng
KW - ring of fractions; control theory; right fractions
UR - http://eudml.org/doc/28392
ER -
References
top- N. Bourbaki, Théories spectrales, Hermann, Paris 1967. (Russian translation: Mir, Moscow 1972.) (1967) Zbl0152.32603
- W. Greub, Linear Algebra, Springer Verlag, New York 1975. (1975) Zbl0317.15002MR0369382
- N. Jacobson, Structure of Rings, American Mathematical Society, Providence, R.I. 1956. (1956) Zbl0073.02002MR0081264
- J. Ježek, An algebraic approach to the synthesis of control for linear discrete meromorphic systems, Kybernetika 25 (1989), 2, 73-85. (1989) MR0995951
- J. Ježek, Rings of skew polynomials for algebraical approach to control theory, Kybernetika 32 (1996), 1, 63-80. (1996) MR1380198
- O. Øre, Linear equations in non-commutative fields, Ann. of Math. 32 (1931), 463-477. (1931) MR1503010
- 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. (1981) MR0609258
- H. W. Raudenbush, Jr., Differential fields and ideals of differential forms, Ann. of Math. 34 (1933), 509-517. (1933) Zbl0007.15103MR1503120
- R. Y. Sharp, Steps in Commutative Algebra, Cambridge University Press, Cambridge 1990. (1990) Zbl0703.13001MR1070568
- M. Vidyasagar, Control System Synthesis -- A Fractional Approach, MIT Press, Cambridge, MA 1987. (1987) MR0787045
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.