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PERFORMANCE LIMITATION OF SYSTEMS UNDER SIGNAL-TO-NOISE CONSTRAINED CHANNEL

. This paper re-discusses [1] and [11], where the problems of feedback stabilization over a signal-to-noise ratio (SNR) constrained channel are studied. The ﬁrst paper considers both continuous and discrete-time minimum phase systems, while the second extends the results to non-minimum phase ones and pro-poses a linear time-varying feedback strategies to eliminate the eﬀect of non-minimum phase zeros in SNR limited stabilization. In general, the limitations on the ability to stabilize a plant over an SNR constrained channel are imposed mainly by unstable poles and non-minimum phase zeros of the plant.