The Finite Time Stabilization Problem Of Nonlinear Systems With Uncertainty

In this paper, we studied the finite time stabilization problems of two different type nonlinear systems.Firstly,we considered the finite time stabilization of uncertain nonholo-nomic systems.By extending the adding-a-power-integrator technique, a nonsmooth state feedback controller is explicitly constructed to render the systems globally finite time stable with any given settling time. Secondly,for a nonlinear system with dynamic uncertainties,a partial-state control design is proposed in a constructive way.With the adding-a-power-integrator and input-to-state stability technique,finite-time stabilization of a class of uncertain nonlinear systems is obtained.