The notion of almost zeros and randomness

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The notion of almost zeros and randomness. / Poulios, Nikolaos; Leventides, John; Karcanias, Nicos.
in: IMA Journal of Mathematical Control and Information, Jahrgang 39.2021, Nr. 2, 22.04.2021, S. 460-475.

Publikationen: Beitrag in FachzeitschriftArtikelForschung(peer-reviewed)

Vancouver

Poulios N, Leventides J, Karcanias N. The notion of almost zeros and randomness. IMA Journal of Mathematical Control and Information. 2021 Apr 22;39.2021(2):460-475. doi: 10.1093/imamci/dnab008

Author

Poulios, Nikolaos ; Leventides, John ; Karcanias, Nicos. / The notion of almost zeros and randomness. in: IMA Journal of Mathematical Control and Information. 2021 ; Jahrgang 39.2021, Nr. 2. S. 460-475.

Bibtex - Download

@article{68a277c5da81423e87bc959c1aa26ec3,
title = "The notion of almost zeros and randomness",
abstract = "We investigate the problem of almost zeros of polynomial matrices as used in system theory. It is related to the controllability and observability notion of systems as well as the determination of Macmillan degree and complexity of systems. We also present some new results on this important invariant in the light of randomness and we prove an uncertainty type relation appearing in such ensembles of operators.",
author = "Nikolaos Poulios and John Leventides and Nicos Karcanias",
year = "2021",
month = apr,
day = "22",
doi = "10.1093/imamci/dnab008",
language = "English",
volume = "39.2021",
pages = "460--475",
journal = "IMA Journal of Mathematical Control and Information",
issn = "1471-6887",
publisher = "Oxford University Press",
number = "2",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - The notion of almost zeros and randomness

AU - Poulios, Nikolaos

AU - Leventides, John

AU - Karcanias, Nicos

PY - 2021/4/22

Y1 - 2021/4/22

N2 - We investigate the problem of almost zeros of polynomial matrices as used in system theory. It is related to the controllability and observability notion of systems as well as the determination of Macmillan degree and complexity of systems. We also present some new results on this important invariant in the light of randomness and we prove an uncertainty type relation appearing in such ensembles of operators.

AB - We investigate the problem of almost zeros of polynomial matrices as used in system theory. It is related to the controllability and observability notion of systems as well as the determination of Macmillan degree and complexity of systems. We also present some new results on this important invariant in the light of randomness and we prove an uncertainty type relation appearing in such ensembles of operators.

U2 - 10.1093/imamci/dnab008

DO - 10.1093/imamci/dnab008

M3 - Article

VL - 39.2021

SP - 460

EP - 475

JO - IMA Journal of Mathematical Control and Information

JF - IMA Journal of Mathematical Control and Information

SN - 1471-6887

IS - 2

ER -