Global Finite-time Stabilization of a Chain of Integrators and Its Application

摘要

This paper investigates the problem of global finite-time stabilization of a chain integrators. Based on finite-time stability theory of homogeneous system, a criterion is proposed for the global finite-time stabilization of the integrators by a single-state feedback control law. The result is then applied to locally finite-time stabilize a multi-scroll saturated chaotic system via homogeneous approximation. The newly obtained result is further illustrated by numerical simulation.