Global finite-time stabilization by output feedback for a class of linearly unobservable systems

This paper studies the problem of global output feedback finite-time stabilization for a class of nonlinear systems that are not guaranteed to have controllable/observable linearization. The main contribution of this paper is the development of a design methodology which combines the homogeneous domination approach with the finite-time stabilization scheme. This methodology makes it possible to extend the previous result on a class of linearly observable systems (Li, 2005) to a more general framework