Continuous state representations for AR Systems

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2 Scopus citations


In this paper we consider in a behavioral setting the subclass of dis-crete-time, linear, finite-dimensional systems, which can be represented by autoregressive (AR) equations. It will be shown that, with respect to the convergence of all coefficients in an AR representation, there exist continuously dependent input-state-output (i/s/o) representations, under the condition that some specified degree remains constant. This continuous i/s/o representation is given by the Fuhrmann realization.

Original languageEnglish
Pages (from-to)82-95
Number of pages14
JournalMathematics of Control, Signals, and Systems
Issue number1
StatePublished - Mar 1995


  • Continuity of systems
  • Linear systems
  • Polynomial matrix representations
  • Realization theory

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Signal Processing
  • Control and Optimization
  • Applied Mathematics


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