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dc.contributor.authorOstalczyk, Piotr
dc.date.accessioned2016-02-05T12:11:44Z
dc.date.available2016-02-05T12:11:44Z
dc.date.issued2014
dc.identifier.citationBulletin of the Polish Academy of Sciences Technical Sciences, Vol. 62, Issue 2,2014, pages 271–278
dc.identifier.urihttp://hdl.handle.net/11652/1118
dc.identifier.urihttp://www.degruyter.com/view/j/bpasts.2014.62.issue-2/bpasts-2014-0027/bpasts-2014-0027.xml?format=INT
dc.description.abstractIn this paper a fractional-order backward-difference/sum (FOBD/S) equivalent formulae are considered. From the Gr¨unwald- Letnikov (GL - FOBD) definition formula and its Horner equivalent form one derives the Riemann-Liouville FOBD (RL - FOBD). Also the Caputo and polynomial-like forms are defined. All forms may be useful in real-time calculations (in the evaluation of digital control strategies) due to the reduction of fractional orders. The investigations are illustrated by a numerical example.en_EN
dc.language.isoenen_EN
dc.relation.ispartofseriesBulletin of the Polish Academy of Sciences Technical Sciences, Vol. 62, Issue 2, 2014en_EN
dc.subjectdiscrete systemsen_EN
dc.subjectfractional - order backward difference/sumen_EN
dc.titleRemarks on five equivalent forms of the fractional – order backward – differenceen_EN
dc.typeArtykułpl_PL
dc.typeArticleen_EN


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