A Common Framework for Automata Theory and Control Theory
Michael A. Arbib · SIAM Journal on Control · 1965
Previous article Next article A Common Framework for Automata Theory and Control TheoryMichael A. ArbibMichael A. Arbibhttps://doi.org/10.1137/0303017PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] M. A. Arbib, L. A. Zadeh, Automata theoryTopics in Mathematical System Theory, McGraw-Hill, New York, 1969, 163–233 MR0266693 Google Scholar[2] R. E. Kalman, Mathematical description of linear dynamical systems, J. SIAM Control Ser. A, 1 (1963), 152–192 (1963) MR0152167 0145.34301 Google Scholar[3] 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[4] R. E. Kalman, Canonical structure of linear dynamical systems, Proc. Nat. Acad. Sci. U.S.A., 48 (1962), 596–600 MR0138865 0249.34005 CrossrefISIGoogle Scholar[5] K. B. Krohn and , J. L. Rhodes, Algebraic theory of machines. I. The main decomposition theorem, Technical Report, Department of Mathematics, University of California, Berkeley, 1963 Google Scholar[6] M. O. Rabin and , D. Scott, Finite automata and their decision problems, IBM J. Res. Develop., 3 (1959), 114–125 MR0103795 0158.25404 CrossrefISIGoogle Scholar[7] M. P. Schützenberger, On the definition of a family of automata, Information and Control, 4 (1961), 245–270 MR0135680 0104.00702 CrossrefGoogle Scholar[8] L. A. Zadeh and , C. A. Desoer, Linear System Theory: The State-Space Approach, McGraw-Hill, New York, 1963 Google Scholar[9] L. S. Pontryagin, , V. G. Boltyanskii, , R. V. Gamkrelidze and , E. F. Mishchenko, The mathematical theory of optimal processes, Translated from the Russian by K. N. Trirogoff; edited by L. W. Neustadt, Interscience Publishers John Wiley & Sons, Inc. New York-London, 1962viii+360 MR0166037 0102.32001 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Input–Output Description of Roomy SystemsP. Dewilde18 July 2006 | SIAM Journal on Control and Optimization, Vol. 14, No. 4AbstractPDF (2395 KB) Volume 3, Issue 2| 1965Journal of the Society for Industrial and Applied Mathematics Series A Control History Submitted:15 September 1964Published online:18 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0303017Article page range:pp. 206-222ISSN (print):0887-4603ISSN (online):2168-359XPublisher:Society for Industrial and Applied Mathematics