Finite-time Annular Domain Stabilization for Nonlinear Systems in Strict-feedback Form

The problem of finite-time annular domain stabilization for nonlinear systems in strict-feedback form is considered in this paper. Firstly, a definition of finite-time annular domain stability for nonlinear systems is given and also some practical explanation is presented. Secondly, a back-stepping design approach is proposed and a sufficient condition for the existence of finite-time annular domain stabilization controller is given. Finally, a detailed example is used to show back-stepping design approach superiority to linear matrix inequality approach.