Global finite-time partial output feedback stabilization of semi-chained systems

In this paper, we design a global partial output feedback stabilizer to stabilize a class of semi-chained systems in finite-time. Based on a homogeneous finite-time state observer, a homogeneous Lyapunov function, and a recursive design method, an output feedback control law is constructed to globally partially finite-time stabilize the systems. A numerical example is given to show the efficiency of our methods.