{"id":69232,"date":"2004-09-07T00:00:00","date_gmt":"2004-09-07T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/estabilidad-en-sistemas-neuronales-realimentados-aplicacion-al-control\/"},"modified":"2004-09-07T00:00:00","modified_gmt":"2004-09-07T00:00:00","slug":"estabilidad-en-sistemas-neuronales-realimentados-aplicacion-al-control","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/malaga\/estabilidad-en-sistemas-neuronales-realimentados-aplicacion-al-control\/","title":{"rendered":"Estabilidad en sistemas neuronales realimentados. aplicaci\u00f3n al control"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Miguel Alejandro Atencia Ruiz <\/strong><\/h2>\n<p>Esta tesis presenta un estudio de las redes neuronales de hopfield, en cuanto a su capacidad para resolver problemas de optimizaci\u00f3n. El an\u00e1lisis te\u00f3rico de las caracter\u00edsticas de estos sistemas se abordan con rigor matem\u00e1tico, al tiempo que se obienen conclusiones de orden pr\u00e1ctico sobre su eficienciacomo m\u00e9todo computacional de optimizaci\u00f3n. Los problemas que son objeto de estudio provienen de dos \u00e1mbitos distintos: la optimizaci\u00f3n combinatorial y la identificaci\u00f3n de sistemas din\u00e1micos. Con respecto al primero, si bien la aplicaci\u00f3n de las redes de hopfield a optimizaci\u00f3n combinatoria no es nueva, exist\u00edan a\u00fan lagunas en la fundamentaci\u00f3n de la metodolog\u00eda de optimizaci\u00f3n con redes de hopfield, habi\u00e9ndose justificado un gran n\u00famero de resultados con argumentos exclusivamente emp\u00edricos. Por tanto, la tesis incluye el estudio te\u00f3rico de las caracter\u00edsticas de estos sistemas, de forma que las aplicaciones posteriores est\u00e9n fundadas sobre bases s\u00f3lidas. Este estudio comienza con una descripci\u00f3n, en base a trabajos previos, de la metodolog\u00eda de optimizaci\u00f3n con redes de hopfield, distinguiendo las diversas formulaciones que de este paradigma se han propuesto, as\u00ed como las limitaciones de cada una, determinando que la formulaci\u00f3n continua de abe puede aplicarse directamente a optimizaci\u00f3n combinatoria, gracias a la forma multilineal de su funci\u00f3n de lyapunov. Por tanto, se adopta la formulaci\u00f3n de abe como objeto de investigaci\u00f3n en el resto de la tesis, dividiendo su examen en dos partes: an\u00e1lisis din\u00e1mico del modelo continuo y estudio de la discretizaci\u00f3n. En el caso del modelo continuo, se demuestra que los puntos fijos interiores, que son soluciones no factibles del problema, son inestables, siempre que sean hiperb\u00f3licos. Para los puntos fijos interiores no hiperb\u00f3licos, tambi\u00e9n se demuestra que son inestables en el caso particular de redes de orden dos con tres neuronas, conjeturando su inestabil<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Estabilidad en sistemas neuronales realimentados. aplicaci\u00f3n al control<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Estabilidad en sistemas neuronales realimentados. aplicaci\u00f3n al control <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Miguel Alejandro Atencia Ruiz <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 M\u00e1laga<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 09\/07\/2004<\/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>Gonzalo Joya Caparr\u00f3s<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Francisco Sandoval hernandez <\/li>\n<li>julio Ortega lopera (vocal)<\/li>\n<li>Manuel Gra\u00f1a romay (vocal)<\/li>\n<li>marie Kratz (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Miguel Alejandro Atencia Ruiz Esta tesis presenta un estudio de las redes neuronales de hopfield, en cuanto [&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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