Synchronization of Drive-response Networks with Quantized Control

Considering the fact that the controller in the drive-response networks is inevitably quantized, we are obliged to study how the quantizations affect the synchronization of the networks. The linear feedback controller can be state quantized or input quantized or both. And there are two frequently-used quantizers, uniform one and logarithmic one, both are studied here. We draw the conclusion that the networks can be exponentially synchronized if the error of the logarithmic quantizer is in the reasonable range, the condition may be slightly changed according to different quantization which is state quantization or input quantization. Meanwhile the networks can be practical synchronized under uniform quantized controller, the complete synchronization may not exists now.