Some Extensions of Poincaré-Bendixson Theory Applied to a Resonant Converter.

Jan Melin

Research output: Thesis › Doctoral Thesis (compilation)

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Abstract

In this thesis existence and uniqueness of limit cycles are shown for a resonant converter, by extending Poincaré-Bendixson theory to non-smooth vector fields. We discuss relevant control theory and the role of simulations.
Original languageEnglish
QualificationDoctor
Awarding Institution
  • Mathematics (Faculty of Engineering)
Supervisors/Advisors
  • Lindström, Torsten, Supervisor, External person
Award date2005 May 20
Publisher
ISBN (Print)91-628-6495-5
Publication statusPublished - 2005

Bibliographical note

Defence details

Date: 2005-05-20
Time: 13:15
Place: Matematikcentrum hörsal C

External reviewer(s)

Name: Lamour, René
Title: Doctor
Affiliation: Institut für Mathematik, Humboldt-Universität Berlin

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<div class="article_info">J. Melin and A. Hultgren. <span class="article_issue_date">2003</span>. <a href="javascript:downloadFile(544798)" class="article_link">A limit cycle of a resonant converter</a> <span class="journal_pages">pp 169-174</span>. <span class="journal_distributor">Elsevier</span></div>
<div class="article_info">J. Melin. <span class="article_issue_date">2003</span>. <a href="javascript:downloadFile(544799)" class="article_link">Upper bounds for the number of limit cycles of switched systems through distribution theory</a> <span class="journal_series_title">International journal of hybrid systems</span>, <span class="journal_volume">vol 3</span> <span class="journal_pages">pp 331-340</span>. <span class="journal_distributor">Nonpareil Publishers</span></div>
<div class="article_info">J. Melin and A. Hultgren. <span class="article_issue_date"></span>. <span class="article_title">On conditions for regularity of solutions for a piecewise linear system</span> (manuscript)</div>
<div class="article_info">J. Melin. <span class="article_issue_date">2004</span>. <a href="javascript:downloadFile(544801)" class="article_link">Does distribution theory contain means for extending Poincaré-Bendixson theory?</a> <span class="journal_series_title">Journal of Mathematical Analysis and Applications</span>, <span class="journal_volume">vol 303</span> <span class="journal_pages">pp 81-89</span>. <span class="journal_distributor">Elsevier</span></div>


The information about affiliations in this record was updated in December 2015.
The record was previously connected to the following departments: Numerical Analysis (011015004)

Subject classification (UKÄ)

  • Mathematics

Free keywords

  • Datalogi
  • numerisk analys
  • system
  • kontroll
  • numerical analysis
  • systems
  • control
  • Naturvetenskap
  • Computer science
  • Natural science
  • Poincaré-Bendixson Theory
  • Limit Cycles
  • Resonant Converter
  • Distributions
  • Piecewise Linear Systems

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