@article {10.3844/ajassp.2005.672.675,
article_type = {journal},
title = {On Fractional Hold Devices Versus Positive Realness of Discrete Transfer Functions},
author = {de la Sen, M. and Bilbao- Guillerna, A.},
volume = {2},
year = {2005},
month = {Mar},
pages = {672-675},
doi = {10.3844/ajassp.2005.672.675},
url = {https://thescipub.com/abstract/ajassp.2005.672.675},
abstract = {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.},
journal = {American Journal of Applied Sciences},
publisher = {Science Publications}
}