Global finite-time stabilization of a class of nonlinear system based on a dynamic gain approach

In this paper, finite-time control problem of a class of nonlinear systems is considered. By using a dynamic gain-based backstepping approach, a state feedback controller involving the dynamic gains is constructed with the help of appropriate Lyapunov function, which guarantees the closed-loop system to be globally finite-time stabilization. A simulation example is provided to illustrate the effectiveness of the proposed control scheme.