Colina Morles, Eliezer2018-01-112018-01-112015-06-03207179https://www.scopus.com/inward/record.uri?eid=2-s2.0-84928206392&doi=10.1080%2f00207179.2014.994037&partnerID=40&md5=7887eebb77b45484d7c61fd67f4bde78http://dspace.ucuenca.edu.ec/handle/123456789/28962This paper uses the qualitative theory of differential equations to analyse/design the dynamic behaviour of control systems. In particular, the Poincaré compactification and the Poincaré - Hopf theorem are used for analysing the local dynamics near the finite and infinite equilibrium points. As an application, a large signal characterisation of a Boost type power converter in closed loop, including its equilibrium/bifurcation points and its global dynamics, which depends upon the value of the load resistance, is studied.en-USControl TheoryNonlinear SystemsPoincaré CompactificationPower ConvertersTopological IndexArticle10.1080/00207179.2014.994037