Stratification and bundle structure of the set of general (A,B)-invariant subspaces

All of RECERCAT

To access the full text documents, please follow this link: http://hdl.handle.net/2117/1228

Title:	Stratification and bundle structure of the set of general (A,B)-invariant subspaces
Author:	Ferrer Llop, Josep; Puerta Sales, Ferran; Puerta Coll, Xavier
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
Abstract:	Given (A,B) in Hom(C^(n+m) C^n), we prove that the set of (A,B)-invariant subspaces having a fixed Brunovsky-Kronecker structure is a submanifold of the corresponding grassman manifold, and we compute its dimension. Also, we prove that the set of all (A,B)-invariant subspaces having a fixed dimension is connected, provided that (A,B) has only one eigenvalue.
Subject(s):	-System theory -invariant subspaces -Sistemes, Teoria de -Classificació AMS::93 Systems Theory; Control::93B Controllability, observability, and system structure
Rights:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Document type:	Article
Share: