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In the investigation of multi-agent systems(MAS),a central issue is to understand how local interactions between agents lead to collective behavior of the system.We introduced a random framework and some mathematical tools such as multi-array martingale theorem and estimation of spectral gap of random geometric graphs,to study the synchronization of a basic class of MAS with large population.Meanwhile,I present some quantitative results on how we intervene in MAS such that the system exhibits the expected behavior.