{"id":1034,"date":"2018-08-22T17:41:50","date_gmt":"2018-08-23T01:41:50","guid":{"rendered":"http:\/\/depts.washington.edu\/uwrainlab\/?page_id=1034"},"modified":"2018-08-22T17:41:50","modified_gmt":"2018-08-23T01:41:50","slug":"growing-controllable-graphs-via-whiskering-and-submodular-optimization","status":"publish","type":"page","link":"http:\/\/depts.washington.edu\/uwrainlab\/growing-controllable-graphs-via-whiskering-and-submodular-optimization\/","title":{"rendered":"Growing Controllable Graphs via Whiskering and Submodular Optimization"},"content":{"rendered":"<p><strong>M. Hudoba de Badyn, M. Mesbahi<\/strong><\/p>\n<p><strong>IEEE Conference on Decision and Control<\/strong><\/p>\n<div class=\"gs_scl\">\n<div id=\"gsc_vcd_descr\" class=\"gsc_vcd_value\">\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\">The topology of a network directly influences the behaviour and controllability of dynamical processes on that network. Therefore, the design of network topologies is an important area of research when examining the control of distributed systems. We discuss a method for growing networks known as whiskering, as well as generalizations of this process, and prove that they preserve controllability. We then use techniques from submodular optimization to analyze optimization algorithms for adding new nodes to a network to optimize certain objectives, such as graph connectivity.<\/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<\/div>\n<\/div>\n<p><strong>Links:<\/strong><\/p>\n<p><a href=\"https:\/\/ieeexplore.ieee.org\/document\/7798376\/\"><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=7798376\"><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=Growing+controllable+networks+via+whiskering+and+submodular+optimization&amp;btnG=#d=gs_cit&amp;p=&amp;u=%2Fscholar%3Fq%3Dinfo%3A_KopBHIHJTEJ%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, M. Mesbahi IEEE Conference on Decision and Control The topology of a network directly influences the behaviour and controllability of dynamical processes on that network. Therefore, the design of network topologies is an important area of research when examining the control of distributed systems. We discuss a method for growing networks [&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\/1034"}],"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=1034"}],"version-history":[{"count":1,"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/pages\/1034\/revisions"}],"predecessor-version":[{"id":1035,"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/pages\/1034\/revisions\/1035"}],"wp:attachment":[{"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/media?parent=1034"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}