Random matrices and controllability of dynamical systems
Research output: Contribution to journal › Article › Research › peer-review
Authors
External Organisational units
- Faculty of Geology and Geoenvironment, 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the concept of ϵ-uncontrollability for random linear systems, i.e. linear systems in which the usual matrices have been replaced by random matrices.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
| 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 | |
| Publication status | Published - 5 May 2021 |
| Externally published | Yes |
