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

Nationale und Kapodistrias-Universität Athen

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Begutachtung

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the concept of ϵ-uncontrollability for random linear systems, i.e. linear systems in which the usual matrices have been replaced by random matrices.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

Originalsprache	Englisch
Seiten (von - bis)	371-382
Seitenumfang	12
Fachzeitschrift	IMA Journal of Mathematical Control and Information
Jahrgang	39.2022
Ausgabenummer	2
DOIs	https://doi.org/10.1093/imamci/dnab011
Publikationsstatus	Veröffentlicht - 5 Mai 2021
Extern publiziert	Ja

Zugriff auf Dokument

10.1093/imamci/dnab011

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