{"id":82700,"date":"2000-01-01T00:00:00","date_gmt":"2000-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/estabilidad-de-subespacios-invariantes-controlados\/"},"modified":"2000-01-01T00:00:00","modified_gmt":"2000-01-01T00:00:00","slug":"estabilidad-de-subespacios-invariantes-controlados","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/estabilidad-de-subespacios-invariantes-controlados\/","title":{"rendered":"Estabilidad de subespacios invariantes controlados."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Velasco Angulo Francisco Enrique <\/strong><\/h2>\n<p>Esta memoria se dedica al estudio de la estabilidad de subespacios invariantes de pares de matrices (a, b). Los tres casos tratados son. Primero aquellos subespacios de dimensi\u00f3n \u00absuficientemente grande\u00bb. posteriormente, bajo hip\u00f3tesis adicionales, se dan condiciones necesarias y suficientes para la estabilidad de los subespacios cuya intersecci\u00f3n con el subespacio imagen de la matriz b es el subespacio  3 . el tercer caso analizado es el de los subespacios que contienen al subespacio de controlabilidad del par (a, b).  para estos subespacios se dar\u00e1n condiciones suficientes de estabilidad. Con unos contraejemplos se probar\u00e1 que dichas condiciones no son necesarias.  finalmente, como un subcaso particular, bajo hip\u00f3tesis adicionales, se dar\u00e1n condiciones necesarias y suficientes para la estabilidad de subespacios que contienen al subespacio de controlabilidad del par (a, b), cuando este subespacio coincide con el subespacio imagen de la matriz b.#<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Estabilidad de subespacios invariantes controlados.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Estabilidad de subespacios invariantes controlados. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Velasco Angulo Francisco Enrique <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Pa\u00eds vasco\/euskal herriko unibertsitatea<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/2000<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li> Gracia Melero Juan  Miguel<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Miguel Lezaun iturralde <\/li>\n<li>Francisco Marcellan espa\u00f1ol (vocal)<\/li>\n<li>josep Ferrer llop (vocal)<\/li>\n<li>Rafael Bru Garc\u00eda (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Velasco Angulo Francisco Enrique Esta memoria se dedica al estudio de la estabilidad de subespacios invariantes de [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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