Local robustness of Hopf bifurcation stabilization

Local robust analysis is presented for a class of Hopf bifurcation stabilizing controllers. In particular, computable conditions are derived to characterize the admissible uncertainty sets consisting of memoryless state feedbacks which can be expanded into the Taylor series. Both linear and quadratic controllers are considered. The results obtained in the paper, hence, provide useful guidance for selecting a robust controller from the given class of stabilizing controllers for systems with Hopf bifurcation.