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2006•International Journal of Robust and Nonlinear ControlRequires access

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

A.C. Pugh, Efstathios Antoniou, Nicholas P. Karampetakis

Open publisher page 8 citations

Abstract

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.

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What this paper is about

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.

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Available abstract

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.

Key concepts: Unimodular matrix, Equivalence (formal languages), Matrix equivalence, Coincidence, Mathematics, Pure mathematics, Transformation matrix, Equivalence relation

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