Random matrices and controllability of dynamical systems
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In: IMA Journal of Mathematical Control and Information, Vol. 39.2022, No. 2, 05.05.2021, p. 371-382.
Research output: Contribution to journal › Article › Research › peer-review
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TY - JOUR
T1 - Random matrices and controllability of dynamical systems
AU - Leventides, John
AU - Poulios, Nikolaos
AU - Poulios, Costas
PY - 2021/5/5
Y1 - 2021/5/5
N2 - 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the concept of ϵ-uncontrollability for random linear systems, i.e. linear systems in which the usual matrices have been replaced by random matrices.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.
AB - 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the concept of ϵ-uncontrollability for random linear systems, i.e. linear systems in which the usual matrices have been replaced by random matrices.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.
U2 - 10.1093/imamci/dnab011
DO - 10.1093/imamci/dnab011
M3 - Article
VL - 39.2022
SP - 371
EP - 382
JO - IMA Journal of Mathematical Control and Information
JF - IMA Journal of Mathematical Control and Information
SN - 1471-6887
IS - 2
ER -
