The notion of almost zeros and randomness | Zendy

John Leventides | Zendy; N. Karcanias | Zendy; Nick Poulios | Zendy

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The notion of almost zeros and randomness

Author(s) -

John Leventides,

N. Karcanias,

Nick Poulios

Publication year - 2021

Publication title -

ima journal of mathematical control and information

Language(s) - English

Resource type - Journals

eISSN - 1471-6887

pISSN - 0265-0754

DOI - 10.1093/imamci/dnab008

Subject(s) - controllability , observability , randomness , mathematics , invariant (physics) , degree (music) , relation (database) , polynomial , discrete mathematics , pure mathematics , computer science , mathematical analysis , statistics , physics , database , acoustics , mathematical physics

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.

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