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This paper studies the time-varying formation problem of general multi-agent systems with undirected topology via observer-based event-triggered control schemes.The distributed event-triggered control scheme and self-triggered control scheme are developed respectively.Each agent updates its next event time using current information without continuous communication in self-triggered control strategy.Formation error and state estimation error are considered simultaneously to get more accurate formation.Meanwhile,it is only when a request is received that each agent broadcasts its information.It is demonstrated that the time-varying formation can be achieved asymptotically under the two proposed control schemes and Zeno behavior can be excluded.Finally,numerical examples are provided to illustrate the effectiveness of the proposed observer-based event-triggered control strategies.