Premium
Equivalence of AR‐representations in the light of the impulsive‐smooth behaviour
Author(s) -
Pugh A. C.,
Antoniou E. N.,
Karampetakis N. P.
Publication year - 2006
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1135
Subject(s) - unimodular matrix , equivalence (formal languages) , matrix equivalence , coincidence , mathematics , pure mathematics , transformation matrix , equivalence relation , matrix (chemical analysis) , algebra over a field , discrete mathematics , eigenvalues and eigenvectors , matrix analysis , physics , kinematics , pathology , quantum mechanics , classical mechanics , composite material , medicine , alternative medicine , materials science
Abstract 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.