Journal Article

Descriptor realizations of autoregressive representations

N. P. Karampetakis

in IMA Journal of Mathematical Control and Information

Published on behalf of Institute of Mathematics and its Applications

Volume 21, issue 2, pages 207-221
Published in print June 2004 | ISSN: 0265-0754
Published online June 2004 | e-ISSN: 1471-6887 | DOI:
Descriptor realizations of autoregressive representations

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In Pugh et al.(1998, Automatica, submitted), fundamental equivalence between AutoRegressive (AR) representations has been defined. Actually, two AR‐representations are defined to be fundamentally equivalent in the case there exists a bijective polynomial differential map between their behaviours. In this paper, it is shown how to reduce an AR‐representation to a fundamental equivalent realization in descriptor form.

Keywords: autoregressive representations; descriptor systems; equivalence; realization; full equivalence

Journal Article.  0 words. 

Subjects: Mathematics

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