This study deals with a nonstationary analysis of energy absorption capacity for various types of response control systems for structures such as building subjected to the earthquake ground motion. In this study, a passive tuned mass damper(TMD), an active mass damper(AMD), an active tuned mass damper(ATMD) and an active tuned mass damper with lever and Pendulum mechanism(APLD) are considered. This analytical study is based on expanding the Kanai-Tajimi earthquake model to include the nonstationary nature of the amplitude of earthquake ground motion. The mean cumulative absorbed energy, mean cumulative input energy and mean cumulative control energy, for four types of response control systems are calculated by solving the moment equations, and the calculated results are compared.