Linear systems over rings of operators

  • B. F. Wyman
Submitted Abstract
Part of the Lecture Notes in Computer Science book series (LNCS, volume 25)


Polynomial Ring Linear Dynamical System Forgetful Functor Semigroup Ring Dimensional Dynamical System 
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  1. 1.
    Arbib, M. A. and Manes, E. G. [1973a], "Machines in a Category," Tech. Machines, and Duality," Tech. Rep. 73B-1. Dept. of Computer and Inform. Sci., Univ. of Mass at Amherst.Google Scholar
  2. 2.
    Cartan, H. and Eilenberg, S. [1956], Homological Algebra, Princeton.Google Scholar
  3. 3.
    Elliott, D. L. and Mullans, R. [1973], "Linear Systems over partially ordered Sets," to be published.Google Scholar
  4. 4.
    Fuchs, L. [1963], Partially Ordered Algebraic Systems, London.Google Scholar
  5. 5.
    Johnston, R. de B. [1973], "Linear Systems over Various Rings," M.I.T. Electronic Systemn Lab. Rep. ESL-R-497, (M.I.T. Dinnertntion).Google Scholar
  6. 6.
    Kalman, R. E. [1965], Algebraic Structure of Linear Dynamical Systems. I. The Module of Σ, Proc. Nat. Acad. Sci. (USA) 54: 1503–1508.CrossRefMathSciNetGoogle Scholar
  7. 7.
    _____________, [1969], Lectures on Controllability and Observability, C.I.M.E. Summer Course, Bologna, 1968. Cremonese, Rome.Google Scholar
  8. 8.
    _____________, Falb, P., and Arbib, M. A. [1969], Topics in Mathematical System Theory, New York.Google Scholar
  9. 9.
    _____________ and Hautus, M. [1972], Realization of Continuous-time Linear Dynamical Systems, in Ordinary Differential Equations (Ed. L. Weiss), New York.Google Scholar
  10. 10.
    Kamen, E. W. [1973], "On an Algebraic Theory of Systems Defined by Convolution Operators," to be published.Google Scholar
  11. 11.
    MacLane, S. [1963], Homology, Berlin-Heidelberg-New York.Google Scholar
  12. 12.
    _____________ [1972], Categories for the Working Mathematician, Berlin-Heidelberg-New York.Google Scholar
  13. 13.
    Rouchaleau, Y. [1972], "Linear, Discrete Time, Finite Dimensional Dynamical Systems over Some classes of Commutative Rings," Dissertation, Stanford Univ.Google Scholar
  14. 14.
    _____________, and Wyman, B. F. [1974?], Linear Dynamical Systems over Integral Domains, to appear in J. Comp. Sys. Sci.Google Scholar
  15. 15.
    — —, and Kalman, R. E., [1972], Algebraic Structure of Linear Dynamical Systems. III. Realization Theory over a Commutative Ring, Proc. Nat. Acad. Sci. (USA), 69: 3404–3406.CrossRefMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1975

Authors and Affiliations

  • B. F. Wyman
    • 1
  1. 1.Mathematics DepartmentThe Ohio State UniversityColumbus

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