Equivalence of AR-Representations in the Light of the Impulsive-Smooth Behavior
A.C. Pugh, Efstathios Antoniou, Nicholas P. Karampetakis
Abstract
A.C. Pugh, Efstathios Antoniou, Nicholas P. Karampetakis
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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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