This paper characterizes the stability of quantized feedback systems which contains optimal dynamic quantizers recently proposed by the authors. First, it is shown that the separation property of the quantizer-controller design, which is similar to the well-known separation property of the observer-controller design, holds in the quantized feedback systems. Next, based on this property, a necessary and sufficient condition for the stability is derived, where the stability is characterized by the poles/zeros of a linear feedback system to be quantized. Finally, we present suboptimal dynamic quantizers for which the resulting quantized feedback systems are always stable.
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