@inproceedings{364167cbe92844ed84b299fa96c670e9,
title = "Variation diminishing Hankel operators",
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).",
keywords = "Hankel operator, Total positivity, external positivity, k-positivity, positive systems, variation diminishing",
author = "Christian Grussler and Rodolphe Sepulchre",
note = "Publisher Copyright: {\textcopyright} 2020 IEEE.; 59th IEEE Conference on Decision and Control, CDC 2020 ; Conference date: 14-12-2020 Through 18-12-2020",
year = "2020",
month = dec,
day = "14",
doi = "10.1109/CDC42340.2020.9303834",
language = "الإنجليزيّة",
series = "Proceedings of the IEEE Conference on Decision and Control",
pages = "4529--4534",
booktitle = "2020 59th IEEE Conference on Decision and Control, CDC 2020",
}