A transformation for 2-D linear systems and a generalization of a theorem of Rosenbrock

A. C. Pugh, S. J. Mcinerney, M. S. Boudellioua, D. S. Johnson, G. E. Hayton

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Abstract

The transformation of zero coprime system equivalence (z.c.s.e.) with its various characterizations is shown to have at least one important role for two dimensional linear systems theory. This paper shows that it is z.c.s.e. which forms the basis of the generalization of Rosenbrock's characterization of all least order polynomial realizations of a transfer function matrix for the case of 2-D systems. The definition of what consistutes the least order is shown to be crucial.

Original languageEnglish
Pages (from-to)491-503
Number of pages13
JournalInternational Journal of Control
Volume71
Issue number3
Publication statusPublished - 1998

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ASJC Scopus subject areas

  • Control and Systems Engineering

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