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Minimal Realizations of Linear and Affine Time-Varying Systems

  • C. Gori-Giorgi
  • S. Monaco
Conference paper
Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 162)

Abstract

The problem of finding a minimal realization, starting from a non minimal one, is faced both for linear and affine time-varying systems. In section two the minimal state space is found and its properties are given; in section three the reduction procedure is performed and the minimality result is proved.

Keywords

Input Function Reachable State Minimal Realization Unobservable State Proper Dimension 
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References

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    L. Weiss, R.E. Kalman: Contribution to linear system theory. Internat. J. Eng. Sci., 3 (1965).Google Scholar
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    C.S. Desoer, P. Varaiya: The minimal realization of a non-anticipative impulse response matrix. SIAM J. on Appl. Math., Vol.15, pp. 754–764 (1967).CrossRefGoogle Scholar
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    P. d’Alessandro, A. Isidori, A. Ruberti: A new approach to the theory of canonical decomposition of linear dynamical systems. SIAM J. Control, Vol. 11, pp. 148–158 (1973).CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1978

Authors and Affiliations

  • C. Gori-Giorgi
    • 1
  • S. Monaco
    • 1
  1. 1.Istituto di AutomaticaUniversity of RomeItaly

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