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IMA Journal of Mathematical Control and Information 2004 21(2):207-221; doi:10.1093/imamci/21.2.207
© 2004 by Institute of Mathematics and its Applications
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Descriptor realizations of autoregressive representations

N. P. Karampetakis1

1 Department of Mathematics, Aristotle University of Thessaloniki, Thessaloniki 54006, Greece

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.

Received 28 February 2003.


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