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Set Valued and Variational Analysis (2012) Online
Stability Analysis and Attractivity Results of a DC-DC Buck Converter
Samir Adly 1, Daniel Goeleven 2, Ba Khiet Le 1
(2012)

Using tools from set-valued and variational analysis, we propose a mathematical formulation for a power DC-DC Buck converter. We prove the existence of trajectories for the model. A stability and asymptotic stability results are established. The theoretical results are supported by some numerical simulations with a discussion about explicit and implicit schemes.
1:  XLIM (XLIM)
CNRS : UMR7252 – Université de Limoges
2:  Institut de REcherche en Mathématiques et Informatique Appliquées (IREMIA)
Université de la Réunion
DMI
Convex analysis - Set-valued and variational analysis - Lyapunov stability - Explicit and implicit schemes