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Previous article Next article Irreducible Realizations and the Degree of a Rational MatrixR. E. KalmanR. E. Kalmanhttps: //doi. org/10. 1137/0113034PDFPDF PLUSBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout1 R. E. Kalman, Mathematical description of linear dynamical systems, J. SIAM Control Ser. A, 1 (1963), 152–192 (1963) MR0152167 0145. 34301 Google Scholar2A Brockway McMillan, Introduction to formal realizability theory. I, Bell System Tech. J. , 31 (1952), 217–279 MR0049079 CrossrefISIGoogle Scholar2B Brockway McMillan, Introduction to formal realizability theory. II, Bell System Tech. J. , 31 (1952), 541–600 MR0049080 CrossrefISIGoogle Scholar3 Elmer G. Gilbert, Controllability and observability in multivariable control systems, J. SIAM Control Ser. A, 1 (1963), 128–151 (1963) MR0153505 0143. 12401 Google Scholar4 B. D. H. Tellegen, Synthesis of 2n-poles by networks containing the minimum number of elements, J. Math. 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Belevitch, On the algebraic structure of formal realizability theory, Revue HF, 4 (1959), Google Scholar21 V. Belevitch, S. R. Deards, On network analysis by polynomial matriceRecent Developments in Network Theory, Macmillan, New York, 1963, 19–30 CrossrefGoogle Scholar22 R. E. Kalman, Algebraic structure of linear dynamical systems. I. The module of, Proc. Nat. Acad. Sci. U. S. A. , 54 (1965), 1503–1508 MR0199025 0144. 11604 CrossrefISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Systems over a Principal Ideal Domain. 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