Global finite-time stabilization of a class of upper-triangular systems

In this paper, we consider the problem of global finite-time stabilization for a class of upper-triangular systems. First, we use the generalized adding a power integrator technique to design a homogeneous controller which locally finite-time stabilizes the upper-triangular systems. Then, we integrate a series of nested saturation functions with the homogeneous controller and adjust the saturation level to ensure global attractivity. The combination of two steps yields the global finite-time stability of the considered upper-triangular systems.