Defesa P\u00fablica da Tese de Doutorado do Mestre em Engenharia El\u00e9trica LEONARDO CABRAL, de acordo com os termos do conv\u00eanio de co-tutela entre a UFRGS e a Universit\u00e9 Paris-Saclay, Fran\u00e7a.<\/p>\n\n\n\n
Data: 19\/12\/2025 – sexta-feira
Hor\u00e1rio: 9:00 (Brasil), 13:00 (Fran\u00e7a)<\/p>\n\n\n\n
A defesa ser\u00e1 realizada no formato h\u00edbrido, presencial na Sala 301-A do Instituto Eletrot\u00e9cnico da UFRGS –\u00a0Av. Osvaldo Arannha 103, Porto Alegre-RS, Brasil\u00a0e pela plataforma Microsoft Teams, com acesso pelo link: Banca Examinadora: Abstract: Keywords: Piecewise affine systems, Exponential stability, Piecewise quadratic Lyapunov functions, Semidefinite programming, Copositive matrices.” Defesa P\u00fablica da Tese de Doutorado do Mestre em Engenharia El\u00e9trica LEONARDO CABRAL, de acordo com os termos do conv\u00eanio de co-tutela entre a UFRGS e a Universit\u00e9 Paris-Saclay, Fran\u00e7a. Data: 19\/12\/2025 – sexta-feiraHor\u00e1rio: 9:00 (Brasil), 13:00 (Fran\u00e7a) A defesa ser\u00e1 realizada no formato h\u00edbrido, presencial na Sala 301-A do Instituto Eletrot\u00e9cnico da UFRGS –\u00a0Av.… Continue a ler »19\/12\/2025 – Defesa de Tese de Doutorado – Leonardo Cabral – Cotutela PPGEE-UFRGS \/ Universit\u00e9 Paris-Saclay, Fran\u00e7a<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"neve_meta_sidebar":"","neve_meta_container":"","neve_meta_enable_content_width":"","neve_meta_content_width":0,"neve_meta_title_alignment":"","neve_meta_author_avatar":"","neve_post_elements_order":"","neve_meta_disable_header":"","neve_meta_disable_footer":"","neve_meta_disable_title":"","footnotes":""},"categories":[4],"tags":[],"class_list":["post-7851","post","type-post","status-publish","format-standard","hentry","category-eventos"],"_links":{"self":[{"href":"https:\/\/www.ufrgs.br\/ppgee\/wp-json\/wp\/v2\/posts\/7851","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ufrgs.br\/ppgee\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ufrgs.br\/ppgee\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ufrgs.br\/ppgee\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ufrgs.br\/ppgee\/wp-json\/wp\/v2\/comments?post=7851"}],"version-history":[{"count":1,"href":"https:\/\/www.ufrgs.br\/ppgee\/wp-json\/wp\/v2\/posts\/7851\/revisions"}],"predecessor-version":[{"id":7852,"href":"https:\/\/www.ufrgs.br\/ppgee\/wp-json\/wp\/v2\/posts\/7851\/revisions\/7852"}],"wp:attachment":[{"href":"https:\/\/www.ufrgs.br\/ppgee\/wp-json\/wp\/v2\/media?parent=7851"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ufrgs.br\/ppgee\/wp-json\/wp\/v2\/categories?post=7851"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ufrgs.br\/ppgee\/wp-json\/wp\/v2\/tags?post=7851"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
https:\/\/teams.microsoft.com\/l\/meetup-join\/19%3ameeting_NTY1MmQ5Y2YtNTA5YS00MDU1LWE5NzMtNDdiOWEzMzE1YTQ2%40thread.v2\/0?context=%7b%22Tid%22%3a%22b34c1d55-a43e-4a20-9218-a1a42eab149a%22%2c%22Oid%22%3a%22e3d79e3e-b1a6-4c93-96e2-2ef9680a14b7%22%7d<\/a><\/p>\n\n\n\n
Prof. Dr. Gerard Scorletti –\u00a0Laboratoire Amp\u00e8re\u00a0– CNRS – \u00c9cole Centrale de Lyon, Fran\u00e7a (Relator franc\u00eas)
Prof. Dr. Daniel Ferreira Coutinho – Departamento de Automa\u00e7\u00e3o e Sistemas (DAS) \u2013 UFSC\u00a0 (Relator brasileiro)
Profa. Dra. Isabelle Queinnec –\u00a0Laboratoire d’Analyse et d’Architecture des Syst\u00e8mes\u00a0– CNRS – Toulouse University, Fran\u00e7a
Prof. Dr. Antoine Girard –\u00a0\u00a0Laboratoire des Signaux et Syst\u00e8mes – CentraleSup\u00e9lec – Gif-sur-Yvette, Fran\u00e7a
Profa. Dra. Luc\u00edola Campestrini – PPGEE \u2013 UFRGS
Presidente da Banca: Prof. Dr. Jo\u00e3o Manoel Gomes da Silva Junior – PPGEE – UFRGS (Orientador brasileiro)
Prof. Dr. Giorgio Valmorbida – CentraleSup\u00e9lec – Universit\u00e9 Paris-Saclay, Fran\u00e7a (Orientador franc\u00eas)
T\u00edtle: “ANALYSIS OF PIECEWISE AFFINE SYSTEMS WITH A RAMP-BASED IMPLICIT REPRESENTATION”<\/p>\n\n\n\n
“Piecewise Affine (PWA) systems are a class of nonlinear dynamical systems characterized by affine dynamics defined over a partition of the state space. Their importance stems from the ability to model a wide range of nonlinear behaviors. However, stability analysis of such systems is challenging due to the combinatorial complexity associated with the number of partitions and the possible transitions between sets along the trajectories. As a result, existing stability analysis techniques are usually restricted to systems with a small number of states and partition sets. This thesis addresses the stability analysis of the origin of PWA systems through an implicit representation based on ramp functions. First, we develop conditions based on linear matrix inequalities and copositive matrices
to verify the nonnegativity of piecewise quadratic functions, both globally and locally, using convex optimization tools. Such conditions allow solving Lyapunov inequalities, which provide certificates of exponential stability of the origin. Moreover, in the context of local stability, the level sets of piecewise quadratic Lyapunov functions can be used to estimate the region of attraction of the origin. The proposed approach not only reduces the conservatism inherent to existing techniques but also presents better computational scalability, enabling the analysis of higher-dimensional systems and systems with more partition sets. The advantages of the method are demonstrated through numerical examples in both continuous-time and discrete-time.<\/p>\n\n\n\n
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