Random matrices and controllability of dynamical systems

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Random matrices and controllability of dynamical systems. / Leventides, John; Poulios, Nikolaos; Poulios, Costas.
in: IMA Journal of Mathematical Control and Information, Jahrgang 39.2022, Nr. 2, 05.05.2021, S. 371-382.

Publikationen: Beitrag in FachzeitschriftArtikelForschung(peer-reviewed)

Vancouver

Leventides J, Poulios N, Poulios C. Random matrices and controllability of dynamical systems. IMA Journal of Mathematical Control and Information. 2021 Mai 5;39.2022(2):371-382. doi: 10.1093/imamci/dnab011

Author

Leventides, John ; Poulios, Nikolaos ; Poulios, Costas. / Random matrices and controllability of dynamical systems. in: IMA Journal of Mathematical Control and Information. 2021 ; Jahrgang 39.2022, Nr. 2. S. 371-382.

Bibtex - Download

@article{555ef47418b041778a24c5385b8ec7a4,
title = "Random matrices and controllability of dynamical systems",
abstract = "We introduce the concept of ϵ-uncontrollability for random linear systems, i.e. linear systems in which the usual matrices have been replaced by random matrices. We also estimate the ε-uncontrollability in the case where the matrices come from the Gaussian orthogonal ensemble. Our proof utilizes tools from systems theory, probability theory and convex geometry.",
author = "John Leventides and Nikolaos Poulios and Costas Poulios",
year = "2021",
month = may,
day = "5",
doi = "10.1093/imamci/dnab011",
language = "English",
volume = "39.2022",
pages = "371--382",
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 - Random matrices and controllability of dynamical systems

AU - Leventides, John

AU - Poulios, Nikolaos

AU - Poulios, Costas

PY - 2021/5/5

Y1 - 2021/5/5

N2 - We introduce the concept of ϵ-uncontrollability for random linear systems, i.e. linear systems in which the usual matrices have been replaced by random matrices. We also estimate the ε-uncontrollability in the case where the matrices come from the Gaussian orthogonal ensemble. Our proof utilizes tools from systems theory, probability theory and convex geometry.

AB - We introduce the concept of ϵ-uncontrollability for random linear systems, i.e. linear systems in which the usual matrices have been replaced by random matrices. We also estimate the ε-uncontrollability in the case where the matrices come from the Gaussian orthogonal ensemble. Our proof utilizes tools from systems theory, probability theory and convex geometry.

U2 - 10.1093/imamci/dnab011

DO - 10.1093/imamci/dnab011

M3 - Article

VL - 39.2022

SP - 371

EP - 382

JO - IMA Journal of Mathematical Control and Information

JF - IMA Journal of Mathematical Control and Information

SN - 1471-6887

IS - 2

ER -