The Analysis of Finite-time Stability for Time Varying polytopic systems

Abstract

The problem of finite-time stability for time varying polytopic systems is concerned in this paper. Three equivalent conditions for FTS is proposed. To facilitate the systems design, a sufficient LMI criterion on the FTS is further given. For the influence of the input disturbance, we also give the definition of FTB and a sufficient LMI criterion. A numerical example is employed to illustrate the effect of the proposed approach.