Titre<\/strong>: Finite-Time Stabilization of Linear Systems via Optimal Control 21 octobre 2026 Titre: Finite-Time Stabilization of Linear Systems via Optimal Control Abstract:\u00a0In this talk, an optimal control framework for achieving finite-time stabilization of linear systems is presented. By introducing a suitably constructed integral cost function, we derive a new class of nonlinear controllers that guarantee finite-time stability through the application of the optimality principle. … Continuer la lecture de Weihao Wang<\/span><\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-247","post","type-post","status-publish","format-standard","hentry","category-non-classe"],"_links":{"self":[{"href":"https:\/\/pole-acs.lis-lab.fr\/index.php?rest_route=\/wp\/v2\/posts\/247","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pole-acs.lis-lab.fr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pole-acs.lis-lab.fr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pole-acs.lis-lab.fr\/index.php?rest_route=\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/pole-acs.lis-lab.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=247"}],"version-history":[{"count":1,"href":"https:\/\/pole-acs.lis-lab.fr\/index.php?rest_route=\/wp\/v2\/posts\/247\/revisions"}],"predecessor-version":[{"id":248,"href":"https:\/\/pole-acs.lis-lab.fr\/index.php?rest_route=\/wp\/v2\/posts\/247\/revisions\/248"}],"wp:attachment":[{"href":"https:\/\/pole-acs.lis-lab.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=247"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pole-acs.lis-lab.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=247"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pole-acs.lis-lab.fr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=247"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Abstract<\/strong>:\u00a0In this talk, an optimal control framework for achieving finite-time stabilization of linear systems is presented. By introducing a suitably constructed integral cost function, we derive a new class of nonlinear controllers that guarantee finite-time stability through the application of the optimality principle. The relationship between the resulting optimal control law and the associated value function is analyzed, leading to the derivation of a Hamilton\u2013Jacobi\u2013Bellman (HJB) equation and the study of its regularity properties. The link between HJB equation and finite-time stabilizing controllers is leveraged. An extension of the results to uniformly bounded controllers and practical feedback reconstruction using neural networks is discussed.<\/p>\n","protected":false},"excerpt":{"rendered":"