Previous article Next article The Synthesis of Linear Dynamical Systems from Prescribed Weighting PatternsD. C. YoulaD. C. Youlahttps://doi.org/10.1137/0114047PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] R. E. Kalman and , J. E. Bertram, Control system analysis and design via the "second method" of Lyapunov. I. Continuous-time systems, Trans. ASME Ser. D. J. Basic Engrg., 82 (1960), 371–393 MR0157810 (28:1039) CrossrefGoogle Scholar[2] R. E. Kalman, , Y. C. Ho and , K. S. Narendra, Controllability of linear dynamical systems, Contributions to Differential Equations, 1 (1963), 189–213 MR0155070 (27:5012) 0151.13303 Google Scholar[3] R. E. Kalman, Mathematical description of linear dynamical systems, Center for Control Theory, RIAS, Baltimore, 1962 Google Scholar[4] R. E. Kalman, Canonical structure of linear dynamical systems, Proc. Nat. Acad. Sci. U.S.A., 48 (1962), 596–600 MR0138865 (25:2305) 0249.34005 CrossrefISIGoogle Scholar[5] L. Weiss and , R. E. Kalman, Contributions to linear system theory, Tech. R., 64-9, RIAS, Baltimore, 1964 Google Scholar[6] Earl A. Coddington and , Norman Levinson, Theory of ordinary differential equations, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1955xii+429 MR0069338 (16,1022b) 0064.33002 Google Scholar[7] R. E. Kalman, Irreducible realizations and the degree of a rational matrix, J. Soc. Indust. Appl. Math., 13 (1965), 520–544 10.1137/0113034 MR0182479 (31:6702) 0161.06704 LinkISIGoogle Scholar[8A] Brockway McMillan, Introduction to formal realizability theory. I, Bell System Tech. J., 31 (1952), 217–279 MR0049079 (14,116f) CrossrefISIGoogle Scholar[8B] Brockway McMillan, Introduction to formal realizability theory. II, Bell System Tech. J., 31 (1952), 541–600 MR0049080 (14,116g) CrossrefISIGoogle Scholar[9] D. Hazony, Elements of Network Synthesis, Reinhold, New York, 1963 Google Scholar[10] D. C. Youla, Cascade synthesis of passive n-ports, Tech. Rpt., RADC-TDR-64-332, Rome Air Development Center, Griffiss Air Force Base, New York, 1964 Google Scholar[11] R. E. Kalman, On the general theory of control systems, Proc. 1st IFAC Conf., Butterworth, London, 1960 Google Scholar[12] Elmer G. Gilbert, Controllability and observability in multivariable control systems, J. SIAM Control Ser. 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