Miniversal deformations of observable marked matrices |
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Authors: | Albert Compta Josep Ferrer Marta Peña |
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Institution: | Departament de Matemàtica Aplicada I, Escola Tècnica Superior d'Enginyeria Industrial de Barcelona, Universitat Politècnica de Catalunya, , 08028 Barcelona, Spain |
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Abstract: | Given the set of vertical pairs of matrices keeping the subspace invariant, we compute miniversal deformations of a given pair when it is observable, and the subspace 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. |
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Keywords: | conditioned invariant subspaces miniversal deformation stratified manifold vertical pairs of matrices |
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