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A note on the existence of positive realizations

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Publication:1886543
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DOI10.1016/j.laa.2004.06.015zbMath1060.93030OpenAlexW2043756932MaRDI QIDQ1886543

Alessandro Astolfi, Colaneri, Patrizio

Publication date: 18 November 2004

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.06.015


zbMATH Keywords

minimal realizationHankel matricesdiagonalpositive systemsinterlaced poles and zeros


Mathematics Subject Classification ID

Minimal systems representations (93B20)


Related Items (2)

Minimal positive realizations: A survey ⋮ An efficient algorithm for positive realizations




Cites Work

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  • On the existence of a positive realization
  • Positive realizations of linear systems
  • An example of how positivity may force realizations of `large' dimension
  • Model reduction of systems with zeros interlacing the poles
  • Minimal positive realizations of transfer functions with positive real poles
  • A note on minimality of positive realizations
  • Positive 1D and 2D systems




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