Non-commutative rings of fractions in algebraical approach to control theory

Kybernetika

Volumn 32, Issue 1, 1996, Pages 81-94

  Ježek, Jan ^a  

^a INSTITUTE OF INFORMATION THEORY AND AUTOMATION   (Czech Republic)

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[No Author keywords available]

Indexed keywords

EID: 0040523335     PISSN: 00235954     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. N. Bourbaki: Théories spectrales. Hermann, Paris 1967. (Russian translation: Mir, Moscow 1972.)
2. W. Greub: Linear Algebra. Springer Verlag, New York 1975.
3. N. Jacobson: Structure of Rings. American Mathematical Society, Providence, R.I. 1956.
4. J. Ježek: An algebraic approach to the synthesis of control for linear discrete meromorphic systems. Kybernetika 25 (1989), 2, 73-85.
5. J. Ježek: Rings of skew polynomials for algebraical approach to control theory. Kybernetika 32 (1996), 1, 63-80.
6. O. Øre: Linear equations in non-commutative fields. Ann. of Math. 32 (1931), 463-477.
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.
8. H. W. Raudenbush, Jr.: Differential fields and ideals of differential forms. Ann. of Math. 34 (1933), 509-517.
9. R. Y. Sharp: Steps in Commutative Algebra. Cambridge University Press, Cambridge 1990.
10. M. Vidyasagar: Control System Synthesis - A Fractional Approach. MIT Press, Cambridge, MA 1987.