  This survey paper deals with the stabilization of nonlinear systems by
analyzing the controlling method in terms of state feedback and output
feedback. A brief overview of some literature on how the feedback controller of
some dynamic systems in real applications like robots can be applicable is
introduced. The aim is to give a direction about the methods of how to solve
the state and output feedback stabilization problems for nonlinear systems
based on feedback design methods and other theorems like the Lyapunov stability
theorem. The feedback controllers can be constructed to ensure the origin of
the nonlinear system is whether asymptotically stable or not. The paper is
purposely focused on directing the theoretical results regarding the presence
of such a feedback controller in stabilization.
  Keywords: Nonlinear systems, stability, Feedback stabilization, State
Feedback, Output Feedback
