Feedback linearization for non-semisimple nilpotent singular vector fields

Feedback and input-state linearization are two of the most important methods of control law designs. The main idea in feedback linearization is to transform a nonlinear system into a linear system and then use the methods of linear control theory for control design. The input-state linearization is designed for the cases that the system is not in the canonical forms. In this paper we recall these methods and show how these may be applied on singular differential systems. In our talk we will describe how these common methods of controller designs are related to and are different from our recent research results in bifurcation control.