{"id":1002,"date":"2018-08-17T13:30:14","date_gmt":"2018-08-17T21:30:14","guid":{"rendered":"http:\/\/depts.washington.edu\/uwrainlab\/?page_id=1002"},"modified":"2018-08-17T13:30:14","modified_gmt":"2018-08-17T21:30:14","slug":"controllability-and-data-driven-identification-of-bipartite-consensus-on-nonlinear-signed-networks","status":"publish","type":"page","link":"http:\/\/depts.washington.edu\/uwrainlab\/controllability-and-data-driven-identification-of-bipartite-consensus-on-nonlinear-signed-networks\/","title":{"rendered":"Controllability and Data-Driven Identification of Bipartite Consensus on Nonlinear Signed Networks"},"content":{"rendered":"<p><strong>M. Hudoba de Badyn,\u00a0S. Alemzadeh, M. Mesbahi<\/strong><\/p>\n<p><strong>56th IEEE Conference on Decision and Control<\/strong><\/p>\n<div class=\"row\">\n<div class=\"col ng-scope\">\n<div class=\"ng-scope\">\n<div class=\"abstract-text ng-binding\">\n<div class=\"row\">\n<div class=\"col ng-scope\">\n<div class=\"ng-scope\">\n<div class=\"abstract-text ng-binding\">Nonlinear networked systems are of interest in several areas of research, such as multi-agent systems and social networks. In this paper, we examine the controllability of several classes of nonlinear networked dynamics on which the underlying graph admits negative weights. Such signed networks exhibit bipartite clustering when the underlying graph is structurally balanced. We show that structural balance is the key ingredient inducing uncontrollability when combined with a leader-node symmetry and a certain type of dynamical symmetry. We then examine the problem of extracting the bipartite structure of such graphs from data using Extended Dynamic Mode Decomposition to approximate the corresponding Koopman operator.<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"u-pt-1\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"u-pt-1\"><\/div>\n<p><strong>Links:<\/strong><\/p>\n<p><a href=\"https:\/\/ieeexplore.ieee.org\/document\/8264181\/\"><img loading=\"lazy\" class=\"alignnone wp-image-810\" src=\"http:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/download.png\" alt=\"\" width=\"26\" height=\"26\" srcset=\"http:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/download.png 225w, http:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/download-150x150.png 150w\" sizes=\"(max-width: 26px) 100vw, 26px\" \/><\/a> \u00a0 <a href=\"https:\/\/ieeexplore.ieee.org\/stamp\/stamp.jsp?tp=&amp;arnumber=8264181\"><img loading=\"lazy\" class=\"alignnone wp-image-811\" src=\"http:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/image_preview.png\" alt=\"\" width=\"31\" height=\"31\" srcset=\"http:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/image_preview.png 250w, http:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/image_preview-150x150.png 150w\" sizes=\"(max-width: 31px) 100vw, 31px\" \/><\/a> \u00a0 <a href=\"https:\/\/scholar.google.com\/scholar?hl=en&amp;as_sdt=0%2C48&amp;q=Controllability+and+Data-Driven+Identification+of+Bipartite+Consensus+on+Nonlinear+Signed+Networks&amp;btnG=#d=gs_cit&amp;p=&amp;u=%2Fscholar%3Fq%3Dinfo%3AczBOOVb_QLQJ%3Ascholar.google.com%2F%26output%3Dcite%26scirp%3D0%26hl%3Den\"><img loading=\"lazy\" class=\"alignnone wp-image-809\" src=\"http:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/BibTeX_logo.svg_-300x97.png\" alt=\"\" width=\"65\" height=\"21\" srcset=\"http:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/BibTeX_logo.svg_-300x97.png 300w, http:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/BibTeX_logo.svg_-768x248.png 768w, http:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/BibTeX_logo.svg_-1024x330.png 1024w, http:\/\/depts.washington.edu\/uwrainlab\/wordpress\/wp-content\/uploads\/2018\/07\/BibTeX_logo.svg_.png 1200w\" sizes=\"(max-width: 65px) 100vw, 65px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>M. Hudoba de Badyn,\u00a0S. Alemzadeh, M. Mesbahi 56th IEEE Conference on Decision and Control Nonlinear networked systems are of interest in several areas of research, such as multi-agent systems and social networks. In this paper, we examine the controllability of several classes of nonlinear networked dynamics on which the underlying graph admits negative weights. Such [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/pages\/1002"}],"collection":[{"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/comments?post=1002"}],"version-history":[{"count":1,"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/pages\/1002\/revisions"}],"predecessor-version":[{"id":1003,"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/pages\/1002\/revisions\/1003"}],"wp:attachment":[{"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/media?parent=1002"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}