On Controllability, Observability, and Minimality of 2-D Separable Denominator Systems: A New Approach Based on the Reduced-Dimensional Decomposition

Tao Lin, Masayuki Kawamata, Tatsuo Higuchi

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

In this paper, controllability, observability, and minimality of 2-D separable denominator systems (SDS‘s) are studied based on the reduced-dimensional decomposition proposed by the authors in a previous paper. These notions of an SDS are completely related to those of its I-D decomposition pair. On the basis of these relations, several new necessary and sufficient conditions are given to examine these notions of an SDS. These conditions are much simpler than any conventional conditions. Moreover, using these relations, we prove that the basic system theoretical problems of constructing controllable (or observable) or minimal state-space realizations for a given 2-D separable denominator transfer function matrix can be changed into corresponding 1-D problems. Therefore, any techniques developed in 1-D system theory can be used to solve these 2-D problems.

Original languageEnglish
Pages (from-to)962-967
Number of pages6
JournalIEEE transactions on circuits and systems
Volume34
Issue number8
DOIs
Publication statusPublished - 1987 Aug

ASJC Scopus subject areas

  • Engineering(all)

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