{"id":92684,"date":"2009-02-04T00:00:00","date_gmt":"2009-02-04T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/indices-locales-de-matrices-racionales-y-sistemas\/"},"modified":"2009-02-04T00:00:00","modified_gmt":"2009-02-04T00:00:00","slug":"indices-locales-de-matrices-racionales-y-sistemas","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/teoria-de-matrices\/indices-locales-de-matrices-racionales-y-sistemas\/","title":{"rendered":"Indices locales de matrices racionales y sistemas"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Agurtzane Amparan Larrabaster <\/strong><\/h2>\n<p>En t\u00e9rminos de matrices polinomiales, el teorema de asignaci\u00f3n de polos de rosenbrock establece condiciones necesarias y suficientes para la existencia de matrices con factores invariantes finitos e \u00edndices de wiener-hopf en el infinito prescritos. En esta memoria se generaliza este resultado prescribiendo tambi\u00e9n la estructura en el infinito para matrices racionales. Para ello, se definen los \u00edndices de wiener-hopf locales respecto a un polinomio irreducible. Para unificar ambos conceptos, \u00edndices locales e \u00edndices respecto de un contorno definidos en el plano complejo, se da una definici\u00f3n de \u00edndices de wiener-hopf  respecto a un subconjunto de ideales maximales del anillo de polinomios con coeficientes en un cuerpo arbitrario. Se establece  entonces una relaci\u00f3n de equiValencia para la cual dichos \u00edndices locales constituyen un sistema completo de invariantes y estudiamos formas can\u00f3nicas.  matrices polinomiales y sistemas lineales de control est\u00e1n estrechamente relacionados. En particular, los \u00edndices de wiener-hopf  y factores invariantes de aqu\u00e9llas son los \u00edndices de controlabilidad y los factores invariantes de los sistemas que realizan. Definidos para matrices estos invariantes en un sentido local, se trata de dar sentido a los correspondientes invariantes de sistemas en un sentido local y estudiar la relaci\u00f3n entre los invariantes locales de los sistemas y sus representaciones  polinomiales matriciales, as\u00ed como la relaci\u00f3n entre los invariantes locales y globales. En concreto, para matrices polinomiales y sistemas en un cuerpo arbitrario, se caracterizan las realizaciones locales de una matriz polinomial dada y las representaciones polinomiales locales de un sistema dado. Por \u00faltimo, caracterizamos la estructura finita de la matriz de estados de un sistema controlable con \u00edndices globales y locales prescritos.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Indices locales de matrices racionales y sistemas<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Indices locales de matrices racionales y sistemas <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Agurtzane Amparan Larrabaster <\/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 02\/04\/2009<\/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>Juan  Bernardo Zaballa Tejada<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: ferran Puerta sales <\/li>\n<li>Ana Mar\u00eda Urbano salvador (vocal)<\/li>\n<li>harald karl Wimmer (vocal)<\/li>\n<li>jean jacques Loiseau (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Agurtzane Amparan Larrabaster En t\u00e9rminos de matrices polinomiales, el teorema de asignaci\u00f3n de polos de rosenbrock establece [&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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