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Miniversal deformations of observable marked matrices
Authors:Albert Compta  Josep Ferrer  Marta Peña
Institution:Departament de Matemàtica Aplicada I, Escola Tècnica Superior d'Enginyeria Industrial de Barcelona, Universitat Politècnica de Catalunya, , 08028 Barcelona, Spain
Abstract:Given the set of vertical pairs of matrices urn:x-wiley:01704214:media:mma2780:mma2780-math-0001 keeping the subspace urn:x-wiley:01704214:media:mma2780:mma2780-math-0002 invariant, we compute miniversal deformations of a given pair when it is observable, and the subspace urn:x-wiley:01704214:media:mma2780:mma2780-math-0003 is marked. Moreover, we obtain the dimension of the orbit, characterize the structurally stable vertical pairs, and study the effect of each deformation parameter. Copyright © 2013 John Wiley & Sons, Ltd.
Keywords:conditioned invariant subspaces  miniversal deformation  stratified manifold  vertical pairs of matrices
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