Transformation of Families of Matrices to Normal Forms and its Application to Stability Theory

DOI10.1137/S0895479898338378zbMath0947.15002OpenAlexW2014047079MaRDI QIDQ4702275

Alexei A. Mailybaev

Publication date: 24 November 1999

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

Full work available at URL: https://doi.org/10.1137/s0895479898338378

zbMATH Keywords

normal formtangent coneversal deformationstability theoryfamily of matrices

Mathematics Subject Classification ID

Matrices over function rings in one or more variables (15A54) Stability theory for smooth dynamical systems (37C75) Canonical forms, reductions, classification (15A21)

Related Items (12)

Can a semi-simple eigenvalue admit fractional sensitivities? ⋮ Neighborhood radius estimation for Arnold's miniversal deformations of complex and \(p\)-adic matrices ⋮ Miniversal deformations of pairs of symmetric matrices under congruence ⋮ Hyperbolicity singularities in rarefaction waves ⋮ Miniversal deformations of matrices of bilinear forms ⋮ Skew-symmetric matrix pencils: Codimension counts and the solution of a pair of matrix equations ⋮ Miniversal deformations of matrices under *congruence and reducing transformations ⋮ Perturbation theory of matrix pencils through miniversal deformations ⋮ Transformation to versal deformations of matrices ⋮ Miniversal deformations of pairs of skew-symmetric matrices under congruence ⋮ Resonance in rarefaction and shock curves: Local analysis and numerics of the continuation method ⋮ On stability domains of nonconservative systems under small parametric excitation

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