Controllability of Discrete, Linear, Random Dynamical Systems
Michael M. Connors · SIAM Journal on Control · 1967
Previous article Next article Controllability of Discrete, Linear, Random Dynamical SystemsMichael M. ConnorsMichael M. Connorshttps://doi.org/10.1137/0305012PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Richard Bellman, Introduction to matrix analysis, McGraw-Hill Book Co., Inc., New York, 1960xx+328 MR0122820 0124.01001 Google Scholar[2] Richard Bellman, Adaptive control processes: A guided tour, Princeton University Press, Princeton, N.J., 1961xvi+255 MR0134403 0103.12901 CrossrefGoogle Scholar[3] R. E. Bellman and , R. Kalaba, On adaptive control processes, IRE Trans. Automatic Control, AC-4 (1959), 1–10 10.1109/TAC.1959.1104847 CrossrefGoogle Scholar[4] E. Bodewig, Matrix calculus, 2nd revised and enlarged edition, North-Holland Publishing Co., Amsterdam, 1959xi+452 MR0127517 0086.32501 Google Scholar[5] M. M. Connors, Masters Thesis, Controllability of discrete, linear, random dynamical systems, Doctoral dissertation, Stanford University, Stanford, 1966 Google Scholar[6] F. R. Gantmacher, Matrix Theory, Chelsea, New York, 1960 Google Scholar[7] Alan J. Hoffman and , Olga Taussky, A characterization of normal matrices, J. Research Nat. Bur. Standards, 52 (1954), 17–19 MR0059239 0055.01004 CrossrefISIGoogle Scholar[8] R. E. Kalman, On the general theory of control systems, Proceedings of the First International Congress on Automatic Control, Moscow, 1960, Vol. 1, Butterworth's Scientific Publications, London, 1961, 481–492 Google Scholar[9] R. E. Kalman, Control of randomly varying linear dynamical systemsProc. Sympos. Appl. Math., Vol. XIII, American Mathematical Society, Providence, R.I., 1962, 287–298 MR0152399 0107.35102 CrossrefGoogle Scholar[10] R. E. Kalman, Mathematical description of linear dynamical systems, J. SIAM Control Ser. A, 1 (1963), 152–192 (1963) MR0152167 0145.34301 Google Scholar[11] R. E. Kalman, , Y. C. Ho and , K. S. Narendra, Controllability of linear dynamical systems, Contributions to Differential Equations, 1 (1963), 189–213 MR0155070 0151.13303 Google Scholar[12] R. E. Kalman and , T. S. Englar, A User's Manual for ASP C, Contract NAS 2-1107, Research Institute of Advanced Study, Baltimore, 1966 Google Scholar[13] N. N. Krasovskii˘, On a problem in tracking, J. Appl. Math. Mech., 26 (1962), 314–335 MR0142864 0108.14702 CrossrefGoogle Scholar[14] N. H. McCoy, On the characteristic roots of matric polynomials, Bull. Amer. Math. Soc., 42 (1936), 592–600 0015.05501 CrossrefGoogle Scholar[15] R. Penrose, A generalized inverse for matrices, Proc. Cambridge Philos. Soc., 51 (1955), 406–413 MR0069793 0065.24603 CrossrefGoogle Scholar[16] R. Penrose, On best approximate solutions of linear matrix equations, Proc. Cambridge Philos. Soc., 52 (1965), 17–19 CrossrefGoogle Scholar[17] Howard Raiffa and , Robert Schlaifer, Applied statistical decision theory, Studies in Managerial Economics, Division of Research, Graduate School of Business Administration, Harvard University, Boston, Mass., 1961xxviii+356 pp. (2 inserts) MR0117844 Google Scholar[18] J. H. M. Wedderburn, Lectures on matrices, Dover Publications Inc., New York, 1964vii+200pp MR0168568 0121.26101 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Volume 5, Issue 2| 1967SIAM Journal on Control History Submitted:08 August 1966Published online:18 July 2006 InformationCopyright © 1967 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0305012Article page range:pp. 183-210ISSN (print):0036-1402Publisher:Society for Industrial and Applied Mathematics