Versal deformations in orbit spaces of matrices
Given an orbit space of matrices $M/\Gamma$ 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 minivesal deformation in $M$ with regard to a suitable group action of $G\times \Gamma$. We show some applications to...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2002 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/1231 |
| Acceso en línea: | https://hdl.handle.net/2117/1231 |
| Access Level: | acceso abierto |
| Palabra clave: | System theory Global analysis (Mathematics) orbit spaces 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 Control::93C Control systems, guided systems |
| Sumario: | Given an orbit space of matrices $M/\Gamma$ 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 minivesal 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. |
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