Stability analysis is the basic problem when investigating switched systems. In this paper, we review the recent advances and the newest achievementsin stability analysis for switched systems with time-dependent switching. Firstly, we introduce the common time-dependent switching signals systematically. On this basis, we review the results on stability analysis for continuous and discrete-time switched systems, respectively, and compare and analyze the advantages and disadvantages of various methods. Finally, we present prospects of the further development.