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Ježek, Jan
Non-commutative rings of fractions in algebraical approach to control theory. (English). Kybernetika, vol. 32 (1996), issue 1, pp. 81-94
MSC: 16S90, 16S99, 16U20, 93A99, 93B25, 93C05 | MR 1380199 | Zbl 0874.16023
References:
[1] N. Bourbaki: Théories spectrales. Hermann, Paris 1967. (Russian translation: Mir, Moscow 1972.) Zbl 0152.32603
[2] W. Greub: Linear Algebra. Springer Verlag, New York 1975. MR 0369382 | Zbl 0317.15002
[3] N. Jacobson: Structure of Rings. American Mathematical Society, Providence, R.I. 1956. MR 0081264 | Zbl 0073.02002
[4] J. Ježek: An algebraic approach to the synthesis of control for linear discrete meromorphic systems. Kybernetika 25 (1989), 2, 73-85. MR 0995951
[5] J. Ježek: Rings of skew polynomials for algebraical approach to control theory. Kybernetika 32 (1996), 1, 63-80. MR 1380198
[6] O. Øre: Linear equations in non-commutative fields. Ann. of Math. 32 (1931), 463-477. MR 1503010
[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
[8] H. W. Raudenbush, Jr.: Differential fields and ideals of differential forms. Ann. of Math. 34 (1933), 509-517. MR 1503120 | Zbl 0007.15103
[9] R. Y. Sharp: Steps in Commutative Algebra. Cambridge University Press, Cambridge 1990. MR 1070568 | Zbl 0703.13001
[10] M. Vidyasagar: Control System Synthesis -- A Fractional Approach. MIT Press, Cambridge, MA 1987. MR 0787045
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