Finite-Time Stability Analysis of Two-Level Switched System

In this paper, a new class of switched system, two-level switched system, is studied for its finite-time stability and finite-time boundedness problem. For such switched systems, by combining the basic analysis of finite-time stability with the multi-Lyapunov functions and dwell-time methods in switched systems, in the method of linear matrix inequality, the sufficient conditions and the feedback stabilization method for the switched system to satisfy the finite-time stability under arbitrary switching rules and based on a certain range of dwelling time switching rules are given. Finally, the numerical simulation example is given to verify the correctness of the theory.