Random matrices and controllability of dynamical systems
Dynamical Systems
2020-11-24 v1
Abstract
We introduce the concept of -uncontrollability for random linear systems, i.e. linear system in which the usual matrices have been replaced by random matrices. We also estimate the -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.
Cite
@article{arxiv.2011.11147,
title = {Random matrices and controllability of dynamical systems},
author = {John Leventides and Nick Poulios and Costas Poulios},
journal= {arXiv preprint arXiv:2011.11147},
year = {2020}
}