Stability of <math>(A, B)</math>-invariant subspaces

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Title:	Stability of $(A, B)$ -invariant subspaces
Author:	Puerta Sales, Ferran; Puerta Coll, Xavier
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
Abstract:	Given a pair of matrices (A,B) we study the stability of their invariant subspaces from a geometric point of view. The main tool is the manifold of quadruples((A;B); F; S) where S is an (A,B)-invariant subspace and F is such that (A + BF)S C S. From the geometry of this manifold we derive sufficient computable conditions of stability.
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -System theory -Sistemes de control -Classificació AMS::93 Systems Theory; Control
Rights:	Attribution-NonCommercial-NoDerivs 2.5 Generic http://creativecommons.org/licenses/by-nc-nd/2.5/
Document type:	Report
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