Abstract: This paper synthetically consider the effects of state quantization and switching topology for multiagent network systems due to the inherent features of time-varying topology and information constraints.Based on a new quantizer,we first construct the hybrid model of multiagent systems under quantized feedback,further analyze the finite-time convergence,and present the lower bound of time to consensus convergence.Finally,a simulation example is provided for different networks with switching topology to validate the theoretical results.