Random matrices and controllability of dynamical systems

Publikationen: Beitrag in FachzeitschriftArtikelForschung(peer-reviewed)

Autoren

Externe Organisationseinheiten

  • National and Kapodistrian University of Athens

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the concept of ϵ-uncontrollability for random linear systems, i.e. linear systems in which the usual matrices have been replaced by random matrices.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

Details

OriginalspracheEnglisch
Seiten (von - bis)371-382
Seitenumfang12
FachzeitschriftIMA Journal of Mathematical Control and Information
Jahrgang39.2022
Ausgabenummer2
DOIs
StatusVeröffentlicht - 5 Mai 2021
Extern publiziertJa