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On the geometry of the set of control matrices of linear systems with prescribed controllability indices

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Publication:2029831
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DOI10.1016/j.laa.2021.04.013zbMath1467.93066OpenAlexW3153611892MaRDI QIDQ2029831

Ferran Puerta, Itziar Baragaña, Zaballa, I.

Publication date: 4 June 2021

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

Full work available at URL: https://doi.org/10.1016/j.laa.2021.04.013

zbMATH Keywords

linear systemscontrollability indicesdifferentiable manifoldBrunovsky indiceslocal parametrizationlocal coordinate systemcontrol matrix


Mathematics Subject Classification ID

Geometric methods (93B27) Linear systems in control theory (93C05) Observability (93B07)




Cites Work

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  • On the geometry of realizable Markov parameters by SIMO and MISO systems
  • On the geometry of the generalized partial realization problem
  • Brunowsky local form of a holomorphic family of pairs of matrices
  • Inertia characteristics of self-adjoint matrix polynomials
  • Interlacing inequalities and control theory
  • Differentiable structure of realizable Markov parameters
  • The change of feedback invariants under column perturbations: particular cases
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