2006Unpublished venueRequires access

Equivalence of AR-Representations in the Light of the Impulsive-Smooth Behavior

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

Open publisher page 3 citations

Abstract

The paper presents a new notion of equivalence of non-regular AR- representations, based on the coincidence of the impulsive-smooth behaviors 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 [21].

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What this paper is about

The paper presents a new notion of equivalence of non-regular AR- representations, based on the coincidence of the impulsive-smooth behaviors 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 [21].

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The paper presents a new notion of equivalence of non-regular AR- representations, based on the coincidence of the impulsive-smooth behaviors 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 [21].

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

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