{"id":184,"date":"2022-05-19T13:18:46","date_gmt":"2022-05-19T11:18:46","guid":{"rendered":"https:\/\/web.umons.ac.be\/seco\/?page_id=184"},"modified":"2022-05-19T13:18:47","modified_gmt":"2022-05-19T11:18:47","slug":"application-of-koopman-operator-theory-to-system-analysis-and-control","status":"publish","type":"page","link":"https:\/\/web.umons.ac.be\/seco\/application-of-koopman-operator-theory-to-system-analysis-and-control\/","title":{"rendered":"Application of Koopman operator theory to system analysis and control"},"content":{"rendered":"<p>The Koopman operator theory has experienced an extraordinary revival in the last decade.<\/p>\n<p>This operator allows representing a nonlinear system by a linear infinite dimensional operator. Computational techniques have been proposed based on the Extended Mode Decomposition, and the Koopman operator has been exploited for dynamic system analysis an control.<\/p>\n<p>Recently, we have been interested in the following aspects:<\/p>\n<ul>\n<li>the computation of the regions of attraction of equilibrium points in hyperbolic systems<\/li>\n<li>the exploitation of the Koopman operator in predictive control<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Koopman operator theory has experienced an extraordinary revival in the last decade. This operator allows representing a nonlinear system by a linear infinite dimensional operator. Computational techniques have been proposed based on the Extended Mode Decomposition, and the Koopman operator has been exploited for dynamic system analysis an control. Recently, we have been interested [&hellip;]<\/p>\n","protected":false},"author":95,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-184","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Application of Koopman operator theory to system analysis and control - Service \/ FPMS - Syst\u00e8mes, Estimation, Commande et Optimisation<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/web.umons.ac.be\/seco\/application-of-koopman-operator-theory-to-system-analysis-and-control\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Application of Koopman operator theory to system analysis and control - Service \/ FPMS - Syst\u00e8mes, Estimation, Commande et Optimisation\" \/>\n<meta property=\"og:description\" content=\"The Koopman operator theory has experienced an extraordinary revival in the last decade. This operator allows representing a nonlinear system by a linear infinite dimensional operator. Computational techniques have been proposed based on the Extended Mode Decomposition, and the Koopman operator has been exploited for dynamic system analysis an control. Recently, we have been interested [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/web.umons.ac.be\/seco\/application-of-koopman-operator-theory-to-system-analysis-and-control\/\" \/>\n<meta property=\"og:site_name\" content=\"Service \/ FPMS - Syst\u00e8mes, Estimation, Commande et Optimisation\" \/>\n<meta property=\"article:modified_time\" content=\"2022-05-19T11:18:47+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/web.umons.ac.be\/seco\/application-of-koopman-operator-theory-to-system-analysis-and-control\/\",\"url\":\"https:\/\/web.umons.ac.be\/seco\/application-of-koopman-operator-theory-to-system-analysis-and-control\/\",\"name\":\"Application of Koopman operator theory to system analysis and control - Service \/ FPMS - Syst\u00e8mes, Estimation, Commande et Optimisation\",\"isPartOf\":{\"@id\":\"https:\/\/web.umons.ac.be\/seco\/#website\"},\"datePublished\":\"2022-05-19T11:18:46+00:00\",\"dateModified\":\"2022-05-19T11:18:47+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/web.umons.ac.be\/seco\/application-of-koopman-operator-theory-to-system-analysis-and-control\/#breadcrumb\"},\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/web.umons.ac.be\/seco\/application-of-koopman-operator-theory-to-system-analysis-and-control\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/web.umons.ac.be\/seco\/application-of-koopman-operator-theory-to-system-analysis-and-control\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/web.umons.ac.be\/seco\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Application of Koopman operator theory to system analysis and control\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/web.umons.ac.be\/seco\/#website\",\"url\":\"https:\/\/web.umons.ac.be\/seco\/\",\"name\":\"Service \/ FPMS - Syst\u00e8mes, Estimation, Commande et Optimisation\",\"description\":\"\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/web.umons.ac.be\/seco\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"fr-FR\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Application of Koopman operator theory to system analysis and control - Service \/ FPMS - Syst\u00e8mes, Estimation, Commande et Optimisation","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/web.umons.ac.be\/seco\/application-of-koopman-operator-theory-to-system-analysis-and-control\/","og_locale":"fr_FR","og_type":"article","og_title":"Application of Koopman operator theory to system analysis and control - Service \/ FPMS - Syst\u00e8mes, Estimation, Commande et Optimisation","og_description":"The Koopman operator theory has experienced an extraordinary revival in the last decade. This operator allows representing a nonlinear system by a linear infinite dimensional operator. Computational techniques have been proposed based on the Extended Mode Decomposition, and the Koopman operator has been exploited for dynamic system analysis an control. Recently, we have been interested [&hellip;]","og_url":"https:\/\/web.umons.ac.be\/seco\/application-of-koopman-operator-theory-to-system-analysis-and-control\/","og_site_name":"Service \/ FPMS - Syst\u00e8mes, Estimation, Commande et Optimisation","article_modified_time":"2022-05-19T11:18:47+00:00","twitter_card":"summary_large_image","schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/web.umons.ac.be\/seco\/application-of-koopman-operator-theory-to-system-analysis-and-control\/","url":"https:\/\/web.umons.ac.be\/seco\/application-of-koopman-operator-theory-to-system-analysis-and-control\/","name":"Application of Koopman operator theory to system analysis and control - Service \/ FPMS - Syst\u00e8mes, Estimation, Commande et Optimisation","isPartOf":{"@id":"https:\/\/web.umons.ac.be\/seco\/#website"},"datePublished":"2022-05-19T11:18:46+00:00","dateModified":"2022-05-19T11:18:47+00:00","breadcrumb":{"@id":"https:\/\/web.umons.ac.be\/seco\/application-of-koopman-operator-theory-to-system-analysis-and-control\/#breadcrumb"},"inLanguage":"fr-FR","potentialAction":[{"@type":"ReadAction","target":["https:\/\/web.umons.ac.be\/seco\/application-of-koopman-operator-theory-to-system-analysis-and-control\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/web.umons.ac.be\/seco\/application-of-koopman-operator-theory-to-system-analysis-and-control\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/web.umons.ac.be\/seco\/"},{"@type":"ListItem","position":2,"name":"Application of Koopman operator theory to system analysis and control"}]},{"@type":"WebSite","@id":"https:\/\/web.umons.ac.be\/seco\/#website","url":"https:\/\/web.umons.ac.be\/seco\/","name":"Service \/ FPMS - Syst\u00e8mes, Estimation, Commande et Optimisation","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/web.umons.ac.be\/seco\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"fr-FR"}]}},"lang":"en","translations":{"en":184},"pll_sync_post":[],"_links":{"self":[{"href":"https:\/\/web.umons.ac.be\/seco\/wp-json\/wp\/v2\/pages\/184","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/web.umons.ac.be\/seco\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/web.umons.ac.be\/seco\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/web.umons.ac.be\/seco\/wp-json\/wp\/v2\/users\/95"}],"replies":[{"embeddable":true,"href":"https:\/\/web.umons.ac.be\/seco\/wp-json\/wp\/v2\/comments?post=184"}],"version-history":[{"count":1,"href":"https:\/\/web.umons.ac.be\/seco\/wp-json\/wp\/v2\/pages\/184\/revisions"}],"predecessor-version":[{"id":185,"href":"https:\/\/web.umons.ac.be\/seco\/wp-json\/wp\/v2\/pages\/184\/revisions\/185"}],"wp:attachment":[{"href":"https:\/\/web.umons.ac.be\/seco\/wp-json\/wp\/v2\/media?parent=184"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}