Abstract:

Finitetime stability is investigated for a class of nonlinear systems, and a sufficient condition for globally finitetime stability is obtained. Globally finitetime stabilizability is achieved by designing a continuous and nonsmooth state feedback nonlinear system. Compared with previous results, the new method may accelerate convergent speed and decrease the settling time.

Key words: finitetime stable; nonsmooth; state feedback; uncer tain nonlinear system