local bifurcation control of nonlinear singularities

 

in this talk we discuss the local bifurcation control of singular smooth germs and singular germs of vector fields. we describe how we may help to design an efficient nonlinear bifurcation controller for a nonlinear singular system. designing an efficient nonlinear controller for linearly uncontrollable singular systems is an important challenging problem and has wide applications in different engineering disciplines. this is closely related to universal unfolding and codimension of singularities. since many singular differential systems in engineering problems are not finitely determined, we have recently defined the notion of asymptotic universal unfolding and have used it to suggest designs of efficient controllers.