The Synthesis of Linear Dynamical Systems from Prescribed Weighting Patterns

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 SectionsAbout1 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 Scholar2 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 Scholar3 R. E. Kalman, Mathematical description of linear dynamical systems, Center for Control Theory, RIAS, Baltimore, 1962 Google Scholar4 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 Scholar5 L. Weiss and , R. E. Kalman, Contributions to linear system theory, Tech. R., 64-9, RIAS, Baltimore, 1964 Google Scholar6 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 Scholar7 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 Scholar8A Brockway McMillan, Introduction to formal realizability theory. I, Bell System Tech. J., 31 (1952), 217–279 MR0049079 (14,116f) CrossrefISIGoogle Scholar8B Brockway McMillan, Introduction to formal realizability theory. II, Bell System Tech. J., 31 (1952), 541–600 MR0049080 (14,116g) CrossrefISIGoogle Scholar9 D. Hazony, Elements of Network Synthesis, Reinhold, New York, 1963 Google Scholar10 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 Scholar11 R. E. Kalman, On the general theory of control systems, Proc. 1st IFAC Conf., Butterworth, London, 1960 Google Scholar12 Elmer G. Gilbert, Controllability and observability in multivariable control systems, J. SIAM Control Ser. 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