Abstract:The van der Pol-Duffing equation, excited under the parameters with two time delays, is studied. The main aim is to study 1/2 subharmonic-primary parametrical resonance bifurcation of this system. Perturbation method is used to obtain the bifurcation equation with time-delays, and numerical method is utilized to analyze the effect of time-delays on the steady state response. The research indicates that 1/2 subharmonic-primary parametrical resonance bifurcation can be well controlled by time-delays feedback.