@article{a38b89dc381f48ba8274943fe9b46dfc,
title = "Lyapunov Characterization and Analysis of the Operating Modes of the AC-DC {\'C}uk Converter",
abstract = "In this paper, all operating modes of the ac-dc {\'C}uk converter have been modeled as linear-time invariant systems where some of the modes were not only modeled but also detected for the first time. Another feature provided in this paper is that the converter can be modeled and analyzed as a switching dynamical system controlled by an external constant duty-ratio switching and the internal switchings shown to be related to the minimum among the time derivatives of a common quadratic Lyapunov function. Some representative simulations are provided to illustrate and validate the technical results of this paper.",
keywords = "AC-DC converter, Lyapunov stability analysis, switching dynamical systems",
author = "Petrovic, {Nikola Z.} and Aleksandra Lekic and Stipanovic, {Dusan M.}",
note = "Funding Information: The authors would like to thank Dr. M. {\v S}oja, Dr. S. Lubura, and S. Lale from the Faculty of Electrical Engineering, University of East Sarajevo, for their valuable suggestions in building the experimental setup. This material is also based on the work supported by the National Science Foundation under Grant 1528036 and titled ASPIRE: Automation Supporting Prolonged Independent Residence for the Elderly. Funding Information: Manuscript received January 10, 2018; revised May 2, 2018 and September 22, 2018; accepted October 4, 2018. Date of publication October 9, 2018; date of current version May 1, 2019. This work was supported by the Ministry of Education, Science, and Technological Development of the Republic of Serbia under Project TR33020. Recommended for publication by Associate Editor Wuhua Li. (Corresponding author: Nikola {\v Z}. Petrovi{\'c}.) N. {\v Z}. Petrovi{\'c} and A. Leki{\'c} are with the School of Electrical Engineering, University of Belgrade, Belgrade 11000, Serbia (e-mail: p.z.nikola@etf.bg.ac.rs). Publisher Copyright: {\textcopyright} 2013 IEEE.",
year = "2019",
month = jun,
doi = "10.1109/JESTPE.2018.2875015",
language = "English (US)",
volume = "7",
pages = "1318--1328",
journal = "IEEE Journal of Emerging and Selected Topics in Power Electronics",
issn = "2168-6785",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "2",
}