@article{10.1093/imamci/dnab011, author = {Leventides, John and Poulios, Nick and Poulios, Costas}, title = "{Random matrices and controllability of dynamical systems}", journal = {IMA Journal of Mathematical Control and Information}, year = {2021}, month = {05}, abstract = "{We introduce the concept of \\$\\epsilon \\$-uncontrollability for random linear systems, i.e. linear systems in which the usual matrices have been replaced by random matrices. We also estimate the \\$\\varepsilon \\$-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.}", issn = {1471-6887}, doi = {10.1093/imamci/dnab011}, url = {https://doi.org/10.1093/imamci/dnab011}, note = {dnab011}, eprint = {https://academic.oup.com/imamci/advance-article-pdf/doi/10.1093/imamci/dnab011/37803656/dnab011.pdf}, }