Dear editor,Switched positive systems exist in many applications [1,2].Their stability differs from that of standard switched systems.The main difference is that the state variables are confined to the positive orthant.Many results have been derived from previous studies on switched positive systems(see[1,2] and references therein).However,to the best of our knowledge,few studies have focused on the stabilization of switched positive systems with only unstable subsystems by designing a dwell-time switching strategy.This is the motivation of this study.This study presents exponential stabilization results for switched positive linear systems by utilizing multiple time-varying Lyapunov functions and dwell-time switching techniques.