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Optimal approximation of fractional derivatives through discrete-time fractions using genetic algorithms

✍ Scribed by J.A. Tenreiro Machado; Alexandra M. Galhano; Anabela M. Oliveira; József K. Tar


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
280 KB
Volume
15
Category
Article
ISSN
1007-5704

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✦ Synopsis


a b s t r a c t

This study addresses the optimization of rational fraction approximations for the discretetime calculation of fractional derivatives. The article starts by analyzing the standard techniques based on Taylor series and Padé expansions. In a second phase the paper re-evaluates the problem in an optimization perspective by tacking advantage of the flexibility of the genetic algorithms.