摘要：The appropriate use of fractional-order holds (β-FROH) of
correcting gains β∈[−1,1]
as an alternative to the
classical zero-and first-order holds (ZOHs, FOHs) is discussed
related to the positive realness of the associate discrete
transfer functions obtained from a given continuous transfer
function. It is proved that the minimum direct input/output gain
(i.e., the quotient of the leading coefficients of the numerator
and denominator of the transfer function) needed for discrete
positive realness may be reduced by the choice of β compared
to that required for discretization via ZOH.
