Regular paper: Model matching for linear systems with delays and 2D systems

  • Authors:
  • P. Picard;J. F. Lafay;V. Kucera

  • Affiliations:
  • Institut de Recherche en Cybernétique de Nantes, UMR 6597, Nantes, France;Institut de Recherche en Cybernétique de Nantes, UMR 6597, Nantes, France;Institute of Information Theory and Automation, UMR 6597, Nantes, France

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 1998

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Abstract

Model matching problem for linear systems with delays is considered, via a transfer matrix approach. We deal with a general class of neutral delay-differential systems, which is equivalent to 2D systems, from a realizability point of view. The solution of the problem is based on the decomposition of the ring of the causal rational functions (which is not a principal ideal domain) as the intersection of two suitable principal ideal domains.