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This paper is concerned with the stability analysis and quantization parameters design of quantized feedback control systems with noise disturbance. First, two state invariant regions of error system and plant system are constructed derived from Lyapunov functions, and then obtain the quadratic attraction conditions of the two systems, respectively. Second, a quantized control strategy which guarantees the closed-loop system stability is proposed by adjusting the "zoom" variables of quantizers. Also, the connection of bounded-input bounded-output (BIBO) stability between the plant system and the error system is found. Last, a numerical example is illustrated.