Reduction to Versal Deformations of Matrix Pencils and Matrix Pairs with Application to Control Theory

DOI10.1137/S0895479801392016zbMath1043.15010OpenAlexW2106387545MaRDI QIDQ4443782

Alexei A. Mailybaev, Maria Isabel García-Planas

Publication date: 18 January 2004

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895479801392016

zbMATH Keywords

algorithmcontrollabilityfeedback equivalencematrix pairversal deformationmatrix pencil

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Controllability (93B05) Feedback control (93B52) Matrix pencils (15A22)

Related Items (7)

Relationship between different equivalence relations in the space of standardizable systems ⋮ Neighborhood radius estimation for Arnold's miniversal deformations of complex and \(p\)-adic matrices ⋮ Miniversal deformations of matrices of bilinear forms ⋮ Miniversal deformations of matrices under *congruence and reducing transformations ⋮ Perturbation theory of matrix pencils through miniversal deformations ⋮ Local perturbations of generalized systems under feedback and derivative feedback ⋮ Versal deformations of matrix products

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