Title: Control of the Hopf bifurcation in the Takens-Bogdanov bifurcation
Abstract: It is a well-known result that in a versal deformation of the Takens-Bogdanov bifurcation is possible to find dynamical systems that undergo saddle-node, homoclinic and Hopf bifurcations. In this document a nonlinear control system in the plane is considered, whose nominal vector field undergoes the Takens-Bogdanov bifurcation, and then the idea is to design a scalar control law such that the closed-loop system undergoes the called controllable Hopf bifurcation.
Publication Year: 2008
Publication Date: 2008-01-01
Language: en
Type: article
Indexed In: ['crossref']
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