Minimal state space realization of n-dimensional systems via continued fraction expansions

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Abstract

A conceptually and computationally simple method is presented for the determination of the minimal state space realization of N-dimensional (N-D) systems. Application of this method requires that the given N-D system, described by its transfer function, can be expanded into a continued fraction. The ease of the method is illustrated by two examples.

Original languageEnglish
Pages (from-to)129-145
Number of pages17
JournalControl, theory and advanced technology
Volume7
Issue number1
StatePublished - 1 Mar 1991

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title = "Minimal state space realization of n-dimensional systems via continued fraction expansions",
abstract = "A conceptually and computationally simple method is presented for the determination of the minimal state space realization of N-dimensional (N-D) systems. Application of this method requires that the given N-D system, described by its transfer function, can be expanded into a continued fraction. The ease of the method is illustrated by two examples.",
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Minimal state space realization of n-dimensional systems via continued fraction expansions. / Antoniou, George.

In: Control, theory and advanced technology, Vol. 7, No. 1, 01.03.1991, p. 129-145.

Research output: Contribution to journalArticleResearchpeer-review

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AB - A conceptually and computationally simple method is presented for the determination of the minimal state space realization of N-dimensional (N-D) systems. Application of this method requires that the given N-D system, described by its transfer function, can be expanded into a continued fraction. The ease of the method is illustrated by two examples.

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