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

A transformation for 2-D linear systems and a generalization of a theorem of Rosenbrock 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Control Taylor & Francis

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

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Publisher
Taylor & Francis
Copyright
Copyright Taylor & Francis Group, LLC
ISSN
1366-5820
eISSN
0020-7179
DOI
10.1080/002071798221795
Publisher site
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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.

Journal

International Journal of Control – Taylor & Francis

Published: Jan 1, 1998

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