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标题：Fractional hold circuits versus positive realness of discrete transfer functions
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作者：M. de la Sen ; A. Bilbao-Guillerna
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2005
卷号：2005
DOI：10.1155/DDNS.2005.373
出版社：Hindawi Publishing Corporation
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.