Simplified forms of criteria are presented for ensuring that all zeros
of a discrete system are stable when a continuous-time and strictly p
roper plant is discretised by the use of a sampler and a zero-order ho
lder. The Nyquist algorithm proposed by Fu and Dumont has been improve
d in the sense that a point of the Nyquist curve is obtained analytica
lly. When a lowpass system is sampled, analytical forms of criteria wi
thout drawing the Nyquist curves have been also shown.