Time-Delay and Fractional Derivatives
<p/> <p>This paper proposes the calculation of fractional algorithms based on time-delay systems. The study starts by analyzing the memory properties of fractional operators and their relation with time delay. Based on the Fourier analysis an approximation of fractional derivatives throu...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2011-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://www.advancesindifferenceequations.com/content/2011/934094 |
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doaj-d1a5ad54935f4fa9990ba5d5b0d3c21c2020-11-24T21:52:49ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472011-01-0120111934094Time-Delay and Fractional DerivativesTenreiro Machado JA<p/> <p>This paper proposes the calculation of fractional algorithms based on time-delay systems. The study starts by analyzing the memory properties of fractional operators and their relation with time delay. Based on the Fourier analysis an approximation of fractional derivatives through time-delayed samples is developed. Furthermore, the parameters of the proposed approximation are estimated by means of genetic algorithms. The results demonstrate the feasibility of the new perspective.</p> http://www.advancesindifferenceequations.com/content/2011/934094 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Tenreiro Machado JA |
| spellingShingle |
Tenreiro Machado JA Time-Delay and Fractional Derivatives Advances in Difference Equations |
| author_facet |
Tenreiro Machado JA |
| author_sort |
Tenreiro Machado JA |
| title |
Time-Delay and Fractional Derivatives |
| title_short |
Time-Delay and Fractional Derivatives |
| title_full |
Time-Delay and Fractional Derivatives |
| title_fullStr |
Time-Delay and Fractional Derivatives |
| title_full_unstemmed |
Time-Delay and Fractional Derivatives |
| title_sort |
time-delay and fractional derivatives |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1839 1687-1847 |
| publishDate |
2011-01-01 |
| description |
<p/> <p>This paper proposes the calculation of fractional algorithms based on time-delay systems. The study starts by analyzing the memory properties of fractional operators and their relation with time delay. Based on the Fourier analysis an approximation of fractional derivatives through time-delayed samples is developed. Furthermore, the parameters of the proposed approximation are estimated by means of genetic algorithms. The results demonstrate the feasibility of the new perspective.</p> |
| url |
http://www.advancesindifferenceequations.com/content/2011/934094 |
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AT tenreiromachadoja timedelayandfractionalderivatives |
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