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

University dissertation from Numerical Analysis, Lund University

Author: Jan Melin; Lunds Universitet.; Lund University.; [2005]

Keywords: NATURVETENSKAP; NATURAL SCIENCES; numerisk analys; Datalogi; system; kontroll; numerical analysis; systems; control; Naturvetenskap; Computer science; Natural science; Poincaré-Bendixson Theory; Limit Cycles; Resonant Converter; Distributions; Piecewise Linear Systems;

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.

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