TY  - JOUR
AU  - de la Sen, M. 
AU  - Bilbao- Guillerna, A. 
PY  - 2005
TI  - On Fractional Hold Devices Versus Positive Realness of Discrete Transfer Functions
JF  - American Journal of Applied Sciences
VL  - 2
IS  - 3
DO  - 10.3844/ajassp.2005.672.675
UR  - https://thescipub.com/abstract/ajassp.2005.672.675
AB  - The appropriate use of fractional order holds (β-FROH) of correcting gains βε[-1,1] as
an alternative to the classical zero and first order -holds (ZOH, FOH) 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.