Realization of multilinear and multidecomposable machines

  • Brian D. O. Anderson
  • Michael A. Arbib
  • Ernest G. Manes
Submitted Abstract
Part of the Lecture Notes in Computer Science book series (LNCS, volume 25)


Monoidal Category Bilinear System Minimal Realization Mathematical System Theory Variable Structure System 
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  1. 1.
    M.A. Arbib and E.G. Manes, "Foundations of System Theory: Decomposable Systems", Automatica, May 1974.Google Scholar
  2. 2.
    M.A. Arbib, "A Characterization of Multilinear Systems", IEEE Transaction on Automatic Control, Vol. AC-14, No. 6, Dec. 1969, pp. 699–702.CrossRefMathSciNetGoogle Scholar
  3. 3.
    G. Marchesini and G. Picci, "Some Results on the Abstract Realization Theory of Multilinear Systems", in Theory and Applications of Variable Structure Systems, ed. R.R. Mohler and A. Ruberti, Academic Press, New York, 1972, pp. 109–135.Google Scholar
  4. 4.
    E. Fornassini and G. Marchesini, "On the Internal Structure of Bilinear Input-Output Maps", Proceedings of NATO Conference on Control and System Theory, Imperial College, London, 1973.Google Scholar
  5. 5.
    R.E. Kalman, P.L. Falb and M.A. Arbib, Topics in Mathematical System Theory, McGraw Hill Book Co., New York, 1969.zbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1975

Authors and Affiliations

  • Brian D. O. Anderson
    • 1
  • Michael A. Arbib
    • 2
  • Ernest G. Manes
    • 3
  1. 1.Electrical EngineeringUniversity of NewcastleNSWAustralia
  2. 2.Computer and Information ScienceUSA
  3. 3.MathematicsUniversity of MassachusettsAmherstU.S.A

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