Finite-time stability and stabilization for time-varying systems

Abstract

This paper considers finite-time stability and stabilization for time-varying systems. By developing classical Lyapunov method, sufficient conditions are presented to guarantee the finite-time stability for more general time-varying systems that are not covered in other existing results. Estimates of the corresponding attraction domain and settling time are derived along the analysis of finite-time stability, and the proposed results are utilized in the problem of finite-time stabilization for a class of controlled systems. Two examples and their simulations are given to verify the effectiveness of the theoretical results.