Equivalence of AR-representations in the light of the impulsive-smooth behaviour

Equivalence of AR-representations in the light of the impulsive-smooth behaviour

The paper presents a new notion of equivalence of non‐regular AR‐representations, based on the coincidence of the impulsive‐smooth behaviours of the underlying systems. The proposed equivalence is characterized by a special case of the usual unimodular equivalence and a restriction of the matrix tra...

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Veröffentlicht in:International journal of robust and nonlinear control 2007-05, Vol.17 (8), p.769-785
Hauptverfasser: Pugh, A. C., Antoniou, E. N., Karampetakis, N. P.
Format: Artikel
Sprache:eng
Schlagworte:
behavioural approach
linear systems
system equivalence
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Zusammenfassung:The paper presents a new notion of equivalence of non‐regular AR‐representations, based on the coincidence of the impulsive‐smooth behaviours of the underlying systems. The proposed equivalence is characterized by a special case of the usual unimodular equivalence and a restriction of the matrix transformation of full equivalence (Int. J. Control 1988; 47(1):53–64). Copyright © 2006 John Wiley & Sons, Ltd.
ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.1135