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Structural stability of (C,A)-marked and observable subspaces
Compta Creus, Albert; Peña Carrera, Marta
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
Given an observable pair of matrices (C;A) we consider the manifold of (C;A)-invariant and observable subspaces having a fixed Brunovsky- Kronecker structure. Using Arnold’s techniques we obtain the explicit form of a miniversal deformation of a marked and observable (C;A)- invariant subspace with regard to the usual equivalence relation. As an application, we obtain the dimension of the orbit and we characterize the structurally stable subspaces.
Àlgebra lineal i multilineal
Matrius (Matemàtica)
Invariants
Attribution-NonCommercial-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
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