The notion of almost zeros and randomness
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In: IMA Journal of Mathematical Control and Information, Vol. 39.2021, No. 2, 22.04.2021, p. 460-475.
Research output: Contribution to journal › Article › Research › peer-review
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TY - JOUR
T1 - The notion of almost zeros and randomness
AU - Poulios, Nikolaos
AU - Leventides, John
AU - Karcanias, Nicos
PY - 2021/4/22
Y1 - 2021/4/22
N2 - We investigate the problem of almost zeros of polynomial matrices as used in system theory. It is related to the controllability and observability notion of systems as well as the determination of Macmillan degree and complexity of systems. We also present some new results on this important invariant in the light of randomness and we prove an uncertainty type relation appearing in such ensembles of operators.
AB - We investigate the problem of almost zeros of polynomial matrices as used in system theory. It is related to the controllability and observability notion of systems as well as the determination of Macmillan degree and complexity of systems. We also present some new results on this important invariant in the light of randomness and we prove an uncertainty type relation appearing in such ensembles of operators.
U2 - 10.1093/imamci/dnab008
DO - 10.1093/imamci/dnab008
M3 - Article
VL - 39.2021
SP - 460
EP - 475
JO - IMA Journal of Mathematical Control and Information
JF - IMA Journal of Mathematical Control and Information
SN - 1471-6887
IS - 2
ER -
