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

CímOptimal approximation of fractional derivatives through discrete-time fractions using genetic algorithms
Közlemény típusaJournal Article
Kiadás éve2010
SzerzőkMachado, T. J., A. M. S. F. Galhano, A. M. Oliveira, and J. K. Tar
FolyóiratCOMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Évfolyam15
Kötet3
Oldalszám482 - 490
Kiadás dátuma2010
Kiadás nyelveeng
Összefoglalás

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 Pade 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. (C) 2009 Elsevier B.V. All rights reserved.