Open AccessDescriptor realizations of autoregressive representations
Author(s) -
Nicholas P. Karampetakis
Publication year - 2004
Publication title -
ima journal of mathematical control and information
Language(s) - English
Resource type - Book series
SCImago Journal Rank - 0.385
H-Index - 37
eISSN - 1471-6887
pISSN - 0265-0754
ISBN - 978-3-9524173-5-5
DOI - 10.1093/imamci/21.2.207
Subject(s) - bijection , autoregressive model , equivalence (formal languages) , mathematics , realization (probability) , representation (politics) , polynomial , pure mathematics , algebra over a field , discrete mathematics , mathematical analysis , statistics , law , politics , political science
In Pugh et. al. (1998), fundamental equivalence between AutoRegressive (AR) - representations has been defined. Actually two AR-representations are defined to be fundamentally equivalent in case there exists a bijective polynomial differential map between its behaviours. In this paper, it is shown how to reduce an AR-Representation to a fundamental equivalent realization in descriptor form.
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