Remarks on five equivalent forms of the fractional – order backward – difference
| dc.contributor.author | Ostalczyk, Piotr | |
| dc.date.accessioned | 2016-02-05T12:11:44Z | |
| dc.date.available | 2016-02-05T12:11:44Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | In 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.identifier.citation | Bulletin of the Polish Academy of Sciences Technical Sciences, Vol. 62, Issue 2,2014, pages 271–278 | |
| dc.identifier.uri | http://hdl.handle.net/11652/1118 | |
| dc.identifier.uri | http://www.degruyter.com/view/j/bpasts.2014.62.issue-2/bpasts-2014-0027/bpasts-2014-0027.xml?format=INT | |
| dc.language.iso | en | en_EN |
| dc.relation.ispartofseries | Bulletin of the Polish Academy of Sciences Technical Sciences, Vol. 62, Issue 2, 2014 | en_EN |
| dc.subject | discrete systems | en_EN |
| dc.subject | fractional - order backward difference/sum | en_EN |
| dc.title | Remarks on five equivalent forms of the fractional – order backward – difference | en_EN |
| dc.type | Artykuł | pl_PL |
| dc.type | Article | en_EN |