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

研究成果: Article査読

11 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)962-967
ページ数6
ジャーナルIEEE transactions on circuits and systems
34
8
DOI
出版ステータスPublished - 1987 8

ASJC Scopus subject areas

  • Engineering(all)

フィンガープリント 「On Controllability, Observability, and Minimality of 2-D Separable Denominator Systems: A New Approach Based on the Reduced-Dimensional Decomposition」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル