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Variation diminishing Hankel operators

Grussler, C and Sepulchre, R (2020) Variation diminishing Hankel operators. In: UNSPECIFIED pp. 4529-4534..

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Abstract

This paper studies the variation diminishing property of linear time-invariant Hankel k-positive systems, i.e., systems whose Hankel operator maps inputs with k - 1 sign changes to outputs with at most the same variation. Our main result is that these systems have a dominant approximation in the form of a parallel interconnection of k positive lags, that is, first order positive systems. This is shown by expressing the k-positivity of a LTI system as the external positivity (that is, 1-positivity) of k compound LTI systems. Our characterizations are generalizations of the well known properties of positive systems (k = 1) and Hankel totally positive systems (k = 8).

Item Type: Conference or Workshop Item (UNSPECIFIED)
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 12 Feb 2021 22:14
Last Modified: 15 Apr 2021 06:39
DOI: 10.1109/CDC42340.2020.9303834