Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
2003
Given an orbit space $M/\Gamma$ and an equivalence relation defined in it by means of the action of a group $G$, we obtain a miniversal deformation of an orbit through a miniversal deformation in $M$ with regard to a suitable group action of $G\times \Gamma$. We show some applications to the perturbations of $m$-tuples of subspaces and $(C,A)$-invariant subspaces.
Article
Anglès
Global analysis (Mathematics); System theory; versal deformation; orbit spaces; Grassmann manifold; flag manifold; (C,A)-invariant subspaces; Sistemes, Teoria de; Sistemes de control; Classificació AMS::58 Global analysis, analysis on manifolds::58K Theory of singularities and catastrophe theory; Classificació AMS::93 Systems Theory; Control::93B Controllability, observability, and system structure; Classificació AMS::93 Systems Theory; Control::93C Control systems, guided systems
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Open Access
Attribution-NonCommercial-NoDerivs 2.5 Spain
E-prints [72986]