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To achieve the infinite convergence of the relative position among agents, the synthetic error of the agent is introduced. Then according to the sliding mode control theory, the sliding mode function is designed based on the defined error. The time-varying formation control problem converts into the asymptotic stability problem of the system. Sufficient conditions for fractional-order multi-agent systems are derived by employing the Lyapunov stability theory, matrix theory, graph theory, and property of fractional-order systems. 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