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

This study addresses the optimization of rational fraction approximations for the discrete-time 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 optimi...

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Bibliographic Details
Main Author: Machado, J. A. Tenreiro (author)
Other Authors: Galhano, Alexandra (author), Oliveira, Anabela (author), Tar, József K. (author)
Format: article
Language:eng
Published: 2014
Subjects:
Fractional derivatives
Fractional calculus
Optimization
Genetic algorithms
Online Access:http://hdl.handle.net/10400.22/4276
Country:Portugal
Oai:oai:recipp.ipp.pt:10400.22/4276
Description
Summary:This study addresses the optimization of rational fraction approximations for the discrete-time 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.

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