Equivalence of AR‐representations in the light of the impulsive‐smooth behaviour | Zendy

Pugh A. C. | Zendy; Antoniou E. N. | Zendy; Karampetakis N. P. | Zendy

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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

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.

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