Random matrices and controllability of dynamical systems

John Leventides; Nikolaos Poulios; Costas Poulios

doi:10.1093/imamci/dnab011

Random matrices and controllability of dynamical systems

John Leventides
, Nikolaos Poulios
, Costas Poulios

National and Kapodistrian University of Athens Department of Economics Domain of Mathematics and Informatics

Research output: Contribution to journal › Article › Research › peer-review

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the concept of ϵ-uncontrollability for random linear systems, i.e. linear systems in which the usual matrices have been replaced by random matrices.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.

Original language	English
Pages (from-to)	371-382
Number of pages	12
Journal	IMA Journal of Mathematical Control and Information
Volume	39.2022
Issue number	2
DOIs	https://doi.org/10.1093/imamci/dnab011
Publication status	Published - 5 May 2021
Externally published	Yes

Access to Document

10.1093/imamci/dnab011

Cite this

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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the concept of ϵ-uncontrollability for random linear systems, i.e. linear systems in which the usual matrices have been replaced by random matrices.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.",

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AU - Poulios, Costas

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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the concept of ϵ-uncontrollability for random linear systems, i.e. linear systems in which the usual matrices have been replaced by random matrices.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.

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DO - 10.1093/imamci/dnab011

M3 - Article

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JO - IMA Journal of Mathematical Control and Information

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