Abstract: In this paper, we concertrate our efforts on discuss asymptotic stability of linear inte grodifferential systems with time-varied confficients with large scale via Liapunov functional and decomposite - aggregated method. A group of sufficient conditions are given to guarantee asymptotic stability of zero solutions of systems. 

Key words: integrodifferential systems;Liapunov functionals;decomposite-aggregated method, asymptotic stability