A Geometric Perspective on Bifurcation Control

In this paper we analyze the problem of bifurcation con trol from a geometric perspective Our goal is to provide coordinate free geometric conditions under which con trol can be used to alter the bifurcation properties of a nonlinear control system These insights are expected to be useful in understanding the role that magnitude and rate limits play in bifurcation control as well as giving deeper understanding of the types of control inputs that are required to alter the nonlinear dynamics of bifurcat ing systems We also use a model from active control of rotating stall in axial compression systems to illustrate the geometric su cient conditions of stabilizability