{"id":80068,"date":"2018-03-09T23:25:58","date_gmt":"2018-03-09T23:25:58","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/sobre-representaciones-polinomiales-matriciales-de-sistemas-dinamicos-lineales\/"},"modified":"2018-03-09T23:25:58","modified_gmt":"2018-03-09T23:25:58","slug":"sobre-representaciones-polinomiales-matriciales-de-sistemas-dinamicos-lineales","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/topologia\/sobre-representaciones-polinomiales-matriciales-de-sistemas-dinamicos-lineales\/","title":{"rendered":"Sobre representaciones polinomiales matriciales de sistemas din\u00e1micos lineales"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Silvia Marcaida Bengoechea <\/strong><\/h2>\n<p>Esta tesis pretende ser un ejemplo de c\u00f3mo la estrech\u00edsima relaci\u00f3n que hay entre los sistemas lineales y las matrices polinomiales sirve para fecundar ambos campos. M\u00e1s concretamente:     1,- se unifican bajo el nombre de representaci\u00f3n polinomial matricial de un sistema lineal controlable diferentes conceptos que aparecen en la literatura.     2,- se aplican propiedades de las matrices polinomiales para asignar estructura en el infinito a un sistema en lazo abierto.     3,- se usan las representaciones polinomiales matriciales para establecer un homeomorfismo entre los dos siguientes espacios de \u00f3rbitas: el de los sistemas controlables bajo la acci\u00f3n de la semejanza y el de las matrices polinomiales con grado de determinante fijo por la acci\u00f3n del grupo de matrices unimodulares por la derecha con la topolog\u00eda compacto-abierta. As\u00ed, \u00e9ste \u00faltimo espacio hereda todas las propiedades topol\u00f3gicas del primero, que han sido ampliamente estudiadas.     4,- se utiliza el homeomorfismo anterior junto con resultados de perturbaci\u00f3n de matrices y sistemas para conocer c\u00f3mo cambian las estructuras finita y wiener-hopf de las matrices polinomiales bajo peque\u00f1as perturbaciones. Adem\u00e1s, tambi\u00e9n se estudia la variaci\u00f3n de la estructura infinita al perturbar ligeramente matrices polinomiales con inversa propia utilizando los resultados de perturbaci\u00f3n de haces de matrices ya conocidos.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Sobre representaciones polinomiales matriciales de sistemas din\u00e1micos lineales<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Sobre representaciones polinomiales matriciales de sistemas din\u00e1micos lineales <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Silvia Marcaida Bengoechea <\/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 24\/05\/2006<\/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>Ion Zaballa Tejada<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Maeztu \u00ed\u00f1iguez de onzo\u00f1o Jos\u00e9 ignacio <\/li>\n<li>diederich Hinrichsen (vocal)<\/li>\n<li>ferran Puerta sales (vocal)<\/li>\n<li>Francisco Marcellan espa\u00f1ol (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Silvia Marcaida Bengoechea Esta tesis pretende ser un ejemplo de c\u00f3mo la estrech\u00edsima relaci\u00f3n que hay entre [&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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